curved surface area cylinder fix

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lukew3
2020-10-21 14:31:17 -04:00
parent 1027ad6381
commit 55fb0a18f6
5 changed files with 109 additions and 106 deletions

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README.md
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@@ -31,98 +31,99 @@ problem, solution = mathgen.genById(0)
| Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------|
[//]: # list start
| 0 | Addition | 15+31= | 46 | addition |
| 1 | Subtraction | 43-14= | 29 | subtraction |
| 2 | Multiplication | 45*1= | 45 | multiplication |
| 3 | Division | 72/45= | 1.6 | division |
| 4 | Binary Complement 1s | 0011= | 1100 | binary_complement_1s |
| 5 | Modulo Division | 14%68= | 14 | modulo_division |
| 6 | Square Root | sqrt(9)= | 3 | square_root |
| 7 | Power Rule Differentiation | 9x^8 | 72x^7 | power_rule_differentiation |
| 8 | Square | 5^2= | 25 | square |
| 0 | Addition | 48+19= | 67 | addition |
| 1 | Subtraction | 31-0= | 31 | subtraction |
| 2 | Multiplication | 44*1= | 44 | multiplication |
| 3 | Division | 19/73= | 0.2602739726027397 | division |
| 4 | Binary Complement 1s | 001110110= | 110001001 | binary_complement_1s |
| 5 | Modulo Division | 99%80= | 19 | modulo_division |
| 6 | Square Root | sqrt(144)= | 12 | square_root |
| 7 | Power Rule Differentiation | 7x^8 + 9x^3 | 56x^7 + 27x^2 | power_rule_differentiation |
| 8 | Square | 15^2= | 225 | square |
| 9 | LCM (Least Common Multiple) | LCM of 18 and 10 = | 90 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 5 and 17 = | 1 | gcd |
| 11 | Basic Algebra | 10x + 9 = 10 | 1/10 | basic_algebra |
| 10 | GCD (Greatest Common Denominator) | GCD of 9 and 8 = | 1 | gcd |
| 11 | Basic Algebra | 9x + 10 = 10 | 0 | basic_algebra |
| 12 | Logarithm | log2(32) | 5 | log |
| 13 | Easy Division | 80/16 = | 5 | int_division |
| 14 | Decimal to Binary | Binary of 66= | 1000010 | decimal_to_binary |
| 15 | Binary to Decimal | 011001010 | 202 | binary_to_decimal |
| 16 | Fraction Division | (3/8)/(10/7) | 21/80 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 0 * [[2, 6], [0, 4]] = | [[0,0],[0,0]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 10 = | (7.843059660345589e-16+12.808688457449499j) | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 33, 10 and 7 exist? | No | valid_triangle |
| 20 | Midpoint of the two point | (-1,-7),(13,-13)= | (6.0,-10.0) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2+8x+7 | (x+1)(x+7) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 47 and 37 = | 96 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 3x - 5y = -74, -3x + 9y = 114 | x = -8, y = 10 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (7, 7) and (3, -3) | sqrt(116) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 20 and 9 = | 21.93 | pythagorean_theorem |
| 26 | Linear Equations | 5x + -8y = -25, -12x + -1y = -243 | x = 19, y = 15 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 16 | [2, 2, 2, 2] | prime_factors |
| 28 | Fraction Multiplication | (3/1)*(5/3) | 5 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 5 sides | 108.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 19 objects picked 2 at a time | 171 | combinations |
| 31 | Factorial | 2! = | 2 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 1m is | 6 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 9m, 16m, 20m is | 1288 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 7m and radius = 16m is | 2312 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 12m is | 1728 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 11m, 19m, 8m is | 1672 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 9m and radius = 15m is | 6361 m^3 | volume_cylinder |
| 13 | Easy Division | 475/19 = | 25 | int_division |
| 14 | Decimal to Binary | Binary of 97= | 1100001 | decimal_to_binary |
| 15 | Binary to Decimal | 0110 | 6 | binary_to_decimal |
| 16 | Fraction Division | (3/6)/(7/1) | 1/14 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 12 * [[2, 6], [3, 3]] = | [[24,72],[36,36]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 12 2 2 = | (2.0782945349651837e-15+33.94112549695428j) | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 40, 5 and 39 exist? | Yes | valid_triangle |
| 20 | Midpoint of the two point | (-14,11),(-2,9)= | (-8.0,10.0) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-5x-14 | (x+2)(x-7) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 27 and 88 = | 65 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | -7x - 7y = -14, -7x - 8y = -18 | x = -2, y = 4 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (5, 9) and (5, 8) | sqrt(1) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 13 and 17 = | 21.40 | pythagorean_theorem |
| 26 | Linear Equations | 2x + -1y = -19, -14x + -9y = 149 | x = -10, y = -1 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 8 | [2, 2, 2] | prime_factors |
| 28 | Fraction Multiplication | (3/1)*(2/10) | 3/5 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 16 objects picked 5 at a time | 4368 | combinations |
| 31 | Factorial | 0! = | 1 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 4m is | 96 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 19m, 10m, 16m is | 1308 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 32m and radius = 5m is | 1162 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 20m is | 8000 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 11m, 17m, 1m is | 187 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 17m is | 14526 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 36m and radius = 1m is | 116 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 26m and radius = 15m is | 6126 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 64 and 17 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10/6x + 3 and y = -1/3x + 10 | (7/2, 53/6) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 14 objects picked 1 at a time = | 14 | permutation |
| 43 | Cross Product of 2 Vectors | [-16, -17, -11] X [12, -19, 5] = | [-294, -52, 508] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 7/2 and 1/7? | > | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 7256 dollars, 6% rate of interest and for a time period of 2 years is = | 870.72 | simple_interest |
| 46 | Multiplication of two matrices | Multiply<table><tr><td>-6</td><td>3</td><td>10</td><td>4</td></tr><tr><td>9</td><td>9</td><td>-3</td><td>7</td></tr></table>and<table><tr><td>10</td><td>-9</td><td>5</td></tr><tr><td>2</td><td>-10</td><td>-5</td></tr><tr><td>6</td><td>-3</td><td>-7</td></tr><tr><td>2</td><td>1</td><td>-8</td></tr></table> | <table><tr><td>14</td><td>-2</td><td>-147</td></tr><tr><td>104</td><td>-155</td><td>-35</td></tr></table> | matrix_multiplication |
| 47 | Cube Root | cuberoot of 723 upto 2 decimal places is: | 8.98 | cube_root |
| 48 | Power Rule Integration | 1x^5 + 2x^8 + 1x^5 + 10x^7 + 1x^6 | (1/5)x^6 + (2/8)x^9 + (1/5)x^6 + (10/7)x^8 + (1/6)x^7 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 58 , 157, 113 = | 32 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 14x^2+92x+17=0 | [-0.19, -6.38] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 13 and 20 = | 1 | hcf |
| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 5 = | 1/6 | dice_sum_probability |
| 53 | Exponentiation | 5^10 = | 9765625 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [266, 244, 292, 288, 230, 251, 211, 272, 260, 257, 231, 234, 254, 277, 202, 206, 258, 298, 243, 213, 214, 239, 247, 232, 203, 296, 238, 282, 222, 283, 261, 253, 252, 278, 215, 267, 212] with 90% confidence is | (255.6152095323176, 240.65506073795265) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 29^(1/1) _ 37^(1/8) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacci_series |
| 57 | Trigonometric Values | What is sin(45)? | 1/√2 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[22, 32, 15, 45, 40, 34, 40, 29, 33, 43, 34, 19, 43, 17, 42] | The Mean is 32.53333333333333 , Standard Deviation is 95.71555555555555, Variance is 9.783432708183541 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 7m is | 615.7521601035994 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 18 m = | 24429.024474314232 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 76th Fibonacci number? | 3416454622906716 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 300 and SP = 745 is: | 148.33333333333334 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 0011110 | 0x1e | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (15+4j) * (13+6j) = | (171+142j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [7, 42, 252, 1512, 9072, 54432] ,Find the value of a,common ratio,9th term value, sum upto 11th term | The value of a is 7, common ratio is 6 , 9th term is 11757312 , sum upto 11th term is 507915877.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 22 , 15 and 25 = | (22*15*25)^(1/3) = 20.206200103110948 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 37 , 33 and 53 = | 3/((1/37) + (1/33) + (1/53)) = 39.371121476373965 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[492.40786515780576, 983.9467887251965, 631.4868422143192, 867.3371448756883, 563.3456646686222, 708.0397121576655] is: | 1783.3521007855009 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [541.0289697890829, 573.3715402714977, 323.21175522813905, 134.3110759527537, 485.181412466299, 734.1757394805238, 632.1836650961008, 874.4930077772807, 392.3682318405426, 198.18533509253734, 259.3024324493266, 692.6808468046293, 983.0594493368139, 246.1431141764312, 169.47055701867663, 179.3769672014288, 653.3731083951614, 608.0069028185225] and [716.8150260194301, 661.3439350537182, 503.6201707807608, 922.7936933135436, 887.4562350809547, 764.2289969841399, 743.9308000789802, 604.6893588822073, 185.60578793368342, 335.83315817451984, 969.7123500771294, 181.4419381940483, 275.5957393468893, 228.41527442819876, 971.7792535281106, 0.79249601650766, 878.4199844485163, 888.9960985572237] is: | NaN | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -9 and -91 = | 82 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [14, -20, -3] . [-3, -18, 15] = | 273 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 100 = | 100 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[77, 3, 65], [46, 99, 23], [31, 83, 47]]) is: | Matrix([[196/18259, 2627/127813, -3183/127813], [-207/36518, 802/127813, 1219/255626], [107/36518, -3149/127813, 7485/255626]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 15 and angle, 235. Find the area of the sector. | Area of sector = 461.42142 | sector_area |
| 76 | Mean and Median | Given the series of numbers [41, 17, 55, 6, 9, 93, 97, 59, 45, 54]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 47.6 and Arithmetic median of this series is 49.5 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[55, 32], [27, 54]]) = | 2106 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 4870 dollars, 3% rate of interest and for a time period of 8 year is = | 6169.17 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 35= | 0x23 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 98% of 63? | Required percentage = 61.74% | percentage |
| 81 | Celsius To Fahrenheit | Convert -6 degrees Celsius to degrees Fahrenheit = | 21.2 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 33 of the AP series: 72, 140, 208 ... | 2248 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 72 terms of the AP series: 41, 110, 179 ... | 179316.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 406 in Octal is: | 0o626 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 397 in Roman Numerals is: | CCCXCVII | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 122 in radians is = | 2.13 | degree_to_rad |
| 39 | Volume of cone | Volume of cone with height = 17m and radius = 17m is | 5144 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 80 and 59 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10/6x + 6 and y = 5x + 7 | (-3/10, 11/2) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 15 objects picked 1 at a time = | 15 | permutation |
| 43 | Cross Product of 2 Vectors | [16, -8, 0] X [11, -6, -13] = | [104, 208, -8] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 4/6 and 7/9? | < | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 1857 dollars, 8% rate of interest and for a time period of 7 years is = | 1039.92 | simple_interest |
| 46 | Multiplication of two matrices | Multiply<table><tr><td>5</td><td>-3</td><td>0</td><td>3</td></tr><tr><td>-6</td><td>-6</td><td>-9</td><td>8</td></tr><tr><td>-4</td><td>-2</td><td>-8</td><td>-2</td></tr></table>and<table><tr><td>-10</td><td>-10</td><td>-2</td><td>10</td></tr><tr><td>-6</td><td>-9</td><td>-5</td><td>-9</td></tr><tr><td>2</td><td>7</td><td>-8</td><td>-8</td></tr><tr><td>-2</td><td>6</td><td>10</td><td>0</td></tr></table> | <table><tr><td>-38</td><td>-5</td><td>35</td><td>77</td></tr><tr><td>62</td><td>99</td><td>194</td><td>66</td></tr><tr><td>40</td><td>-10</td><td>62</td><td>42</td></tr></table> | matrix_multiplication |
| 47 | Cube Root | cuberoot of 616 upto 2 decimal places is: | 8.51 | cube_root |
| 48 | Power Rule Integration | 4x^1 | (4/1)x^2 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 72 , 42, 103 = | 143 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 88x^2+181x+68=0 | [-0.49, -1.56] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 2 and 1 = | 1 | hcf |
| 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 16 = | 6/216 | dice_sum_probability |
| 53 | Exponentiation | 17^10 = | 2015993900449 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [289, 211, 294, 290, 264, 258, 229, 265, 272, 228, 257, 262, 210, 259, 246, 224, 266, 283, 273, 222, 250, 241, 225, 237] with 99% confidence is | (265.1917573633045, 239.39157597002884) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 81^(1/7) _ 54^(1/9) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 20 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(90)? | 0 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 9 sides = | 1260 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[43, 23, 43, 13, 16, 40, 36, 19, 17, 39, 45, 26, 12, 17, 12] | The Mean is 26.733333333333334 , Standard Deviation is 151.79555555555555, Variance is 12.3205338989654 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 10m is | 1256.6370614359173 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 93 m = | 3369282.722751367 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 52th Fibonacci number? | 32951280099 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Loss percent when CP = 798 and SP = 713 is: | 10.651629072681704 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 0000 | 0x0 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (14-1j) * (-15+4j) = | (-206+71j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [8, 24, 72, 216, 648, 1944] ,Find the value of a,common ratio,11th term value, sum upto 8th term | The value of a is 8, common ratio is 3 , 11th term is 472392 , sum upto 8th term is 26240.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 65 , 75 , 65 , 23 = | (65*75*65*23)^(1/4) = 51.95818275737109 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 2 and 12 = | 2/((1/2) + (1/12)) = 3.4285714285714284 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[488.10260237588165, 438.9926997215375, 481.4248776631771, 480.58824363943177, 509.73053046857785, 268.09288505668803, 410.3732502610836, 318.6216647891933, 296.4238196042428, 808.0996438115192, 121.7211186065138, 615.1986904309553, 380.29841107431093, 195.23491823519456, 81.69943837555405, 155.69629311805645, 97.46954246782546, 634.0953876946306, 199.72352388042535, 568.2278203619796] is: | 1901.9741243296269 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [955.8351549798066, 177.1594811522551, 900.6055058476991, 712.0208070601419, 601.3956854892953, 628.8267644026017, 893.2727217464875, 492.4340309181726] and [668.7008663033757, 138.7169080640255, 515.5875138676224, 230.03917249114247, 51.099523634880015, 894.1460097286858, 313.47733623460283, 837.2412043583688] is: | NaN | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -63 and 84 = | 147 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [7, -9, 12] . [6, 12, 14] = | 102 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 11101 = | 11 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[61, 90, 56], [2, 74, 38], [29, 91, 7]]) is: | Matrix([[735/47851, -2233/95702, 181/47851], [-272/47851, 1197/191404, 1103/95702], [491/47851, 2941/191404, -2167/95702]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 17 and angle, 98. Find the area of the sector. | Area of sector = 247.15608 | sector_area |
| 76 | Mean and Median | Given the series of numbers [13, 89, 68, 53, 61, 3, 17, 66, 63, 48]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 48.1 and Arithmetic median of this series is 57.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[49, 6], [62, 19]]) = | 559 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 7750 dollars, 9% rate of interest and for a time period of 7 year is = | 14167.3 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 972= | 0x3cc | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 38% of 82? | Required percentage = 31.16% | percentage |
| 81 | Celsius To Fahrenheit | Convert -49 degrees Celsius to degrees Fahrenheit = | -56.2 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 83 of the AP series: -41, -110, -179 ... | -5699 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 99 terms of the AP series: 20, -59, -138 ... | -381249.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 1424 in Octal is: | 0o2620 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 3563 in Roman Numerals is: | MMMDLXIII | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 286 in radians is = | 4.99 | degree_to_rad |
| 87 | Radians to Degrees | Angle 2 in degrees is = | 114.59 | radian_to_deg |
| 88 | Differentiation | differentiate w.r.t x : d(tan(x)+4*x^(-3))/dx | tan(x)^2 + 1 - 12/x^4 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 54x^2 + 77x + 69 is = | 125.5 | definite_integral |
| 90 | isprime | 95 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 16643 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 1.41exp(i-2.36) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={9, 5, 6} ,b={8, 1, 6}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 5, 6, 8, 9},Intersection is {6}, a-b is {9, 5},b-a is {8, 1}, Symmetric difference is {1, 5, 8, 9} | set_operation |
| 94 | Base Conversion | Convert 121143 from base 7 to base 8. | 53020 | base_conversion |
| 88 | Differentiation | differentiate w.r.t x : d(exp(x)+6*x^(-3))/dx | exp(x) - 18/x^4 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 94x^2 + 86x + 97 is = | 171.3333 | definite_integral |
| 90 | isprime | 28 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 9 is = | 37408 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 15.65exp(i-2.68) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={2, 3, 5} ,b={2, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 5, 6, 7},Intersection is {2, 3}, a-b is {5},b-a is {6, 7}, Symmetric difference is {5, 6, 7} | set_operation |
| 94 | Base Conversion | Convert E656 from base 16 to base 12. | 2A15A | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 43 and height, 85? | CSA of cylinder = 22965.04 | curved_surface_area_cylinder |