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Educational Level Secondary school, High school and College
Program Purpose Provide step by step solutions of your problems using online calculators (online solvers)
Problem Source Your textbook, etc

1. The Equation for the terminal Side `theta` is `2x+y=0, x>=0`. Find the value of all six trigonometric functions on 25.04.2024
2. Net Present Value (NPV) on 19.03.2024
3. Amortization on 14.03.2024
4.1 Future value using Simple Interest on 05.03.2024
4.2 Future value using Compound Interest
4.3 Future value of Annuity
4.4 Future value of Annuity Due
4.5 Present value using Simple Interest
4.6 Present value using Compound Interest
4.7 Present value of Annuity
4.8 Present value of Annuity Due
4.9 Contineous Compounding

5.1 Future value factor
5.2 Present value factor
5.3 Discount factor
5.4 Future value factor table
5.5 Present value factor table
5.6 Discount factor table

6.1 Effective interest rate
6.2 Nominal interest rate
7.1 Simple bar graph on 26.02.2024
7.2 Multiple bar graph
7.3 Percentage bar graph
7.4 Simple stacked bar chart
7.5 Percentage stacked bar chart
7.6 Pie Chart
7.7 Donut Chart
7.8 Scatter Plot | XY Graph
7.9 Line Graph
8.1 Ogive (cumulative frequency curve) on 25.01.2024
8.2 Frequency polygon with the help of Histogram
8.3 Frequency curve with the help of Histogram
9. Queueing Theory on 06.01.2024
9.1 M/M/1 Queuing Model
9.1 M/M/1/N Queuing Model (M/M/1/K)
9.1 M/M/1/N/N Queuing Model (M/M/1/K/K)
9.2 M/M/s Queuing Model (M/M/c)
9.2 M/M/s/N Queuing Model (M/M/c/K)
9.2 M/M/s/N/N Queuing Model (M/M/c/K/K)
9.2 M/M/Infinity Queuing Model
10. Binomial expansion `(2x+3y)^5` on 26.09.2023
11. Words to Numbers Converter on 24.09.2023
12. Oddment method on 29.07.2023

13.1 Octile, Quintile for ungrouped data on 27.07.2023
13.2 Octile, Quintile for grouped data
14. Index Number on 16.07.2023
1.1 Fixed base method
1.2 Chain base method

2. Unweighted Index Number
2.1 Simple Aggregative Method
2.2 Simple Average of Price Relative Method (using the arithmetic mean)
2.3 Simple Average of Price Relative Method (using the geometric mean)

3.1 Fixed base method for bivariate grouped data
3.2 Chain base method for bivariate grouped data

4.1 Conversion of fixed base index numbers into chain base index numbers
4.2 Conversion of chain base index numbers into fixed base index numbers

5. Weighted Index Numbers
5.1 Laspeyre's price index number
5.2 Paasche's price index number
5.3 Fisher's price index number
5.4 Marshall Edgeworth's price index number
5.5 Dorbish-Bowley's price index number
5.6 Kelly's price index number
5.7 Walsh's price index number

6.1 Weighted aggregate method
6.2 Weighted average of price relatives method

7. Cost of living Index number
7.1 Aggregate expenditure method
7.2 Family budget method
15. Mode using Grouping Method on 12.12.2022
16. Construct an ungrouped frequency distribution table on 28.11.2022
17. Construct a grouped frequency distribution table
18. Maximum, Minimum for ungrouped data
19. Sum, Length for ungrouped data
20. Range, Mid Range for ungrouped data
21. Stem and leaf plot for ungrouped data
22. Ascending order, Descending order for ungrouped data
23. Run Length Encoding on 21.11.2022
24. Run Length Decoding
25. Modulo on 15.11.2022
26. Fast modular exponentiation
27. Coding Decoding on 19.10.2022
28. Ridder's Method on 23.05.2022
29. Vector triple product on 13.04.2022
30. Law of Sines Calculator on 13.04.2022
31. Law of Cosines Calculator
32.1 Sine Calculator on 11.04.2022
32.2 Cosine Calculator
32.3 Tangent Calculator
32.4 Cosecant Calculator
32.5 Secant Calculator
32.6 Cotangent Calculator

33.1 Inverse Sine Calculator
33.2 Inverse Cosine Calculator
33.3 Inverse Tangent Calculator
33.4 Inverse Cosecant Calculator
33.5 Inverse Secant Calculator
33.6 Inverse Cotangent Calculator

34.1 Hyperbolic Sine Calculator
34.2 Hyperbolic Cosine Calculator
34.3 Hyperbolic Tangent Calculator
34.4 Hyperbolic Cosecant Calculator
34.5 Hyperbolic Secant Calculator
34.6 Hyperbolic Cotangent Calculator

35.1 Inverse Hyperbolic Sine Calculator
35.2 Inverse Hyperbolic Cosine Calculator
35.3 Inverse Hyperbolic Tangent Calculator
35.4 Inverse Hyperbolic Cosecant Calculator
35.5 Inverse Hyperbolic Secant Calculator
35.6 Inverse Hyperbolic Cotangent Calculator
36. If `x+y+z=1,xy+yz+zx=-1` and `xyz=-1` then find `x^3+y^3+z^3` on 25.02.2022
37. If `alpha` and `beta` are roots of equation `2x^2-3x-6=0`, then find `alpha^2+beta^2` on 29.01.2022
38. If `alpha` and `beta` are roots of equation `2x^2-3x-6=0`, then find equation whose roots are `alpha^2` and `beta^2`
39. Find value of `k` for which `2x^2+kx+2=0` has real roots
40. Wrong Number series on 06.01.2022
41. Missing Number Series
42. Alphabate series on 13.12.2021
43. Missing Letter Series
44. Richardson extrapolation formula for differentiation on 11.12.2021
45. Find other polynomial when one polynomial its GCD and LCM are given
46. Lattice Multiplication on 08.12.2021
47. Alphametic Puzzles, Algebrograms, Cryptarithms, Cryptograms solver on 02.12.2021
48. Restoring Division Algorithm For Unsigned Integer on 29.11.2021
49. Non-Restoring Division Algorithm For Unsigned Integer on 01.12.2021
50 Solve (2nd order) numerical differential equation using (on 17.10.2021)
1. Euler method
2. Runge-Kutta 2 method
3. Runge-Kutta 3 method
4. Runge-Kutta 4 method
51.1 Find the value of h,k for which the system of equations has a Unique solution on 16.10.2021
51.2 Find the value of h,k for which the system of equations has Infinite solution
51.3 Find the value of h,k for which the system of equations has No solution
51.4 Find the value of h,k for which the system of equations is consistent
51.5 Find the value of h,k for which the system of equations is inconsistent

51.6 Determine whether the system of linear equations has a Unique solution
51.7 Determine whether the system of linear equations has Infinite solution
51.8 Determine whether the system of linear equations has No solution
51.9 Determine whether the system of linear equations is consistent
51.10 Determine whether the system of linear equations is inconsistent
52. Chinese Remainder Theorem on 08.08.2021
53. Extended Euclidean Algorithm
54. Euclid's Algorithm
55. Modular multiplicative inverse
56. Remainder theorem on 04.08.2021
57. Singular Value Decomposition (SVD) Code improved on 29.07.2021
58. Numerical Differentiation first order and second order using on 14.07.2021
1. 2 point Forward, Backward, Central difference formula
2. 3 point Forward, Backward, Central difference formula
3. 4 point Forward, Backward, Central difference formula
4. 5 point Forward, Central difference formula
59. Time Series and Forecasting on 07.07.2021
1. Simple Moving Average
2. Weighted Moving Average
3. Single Exponential Smoothing
4. Simple Moving Average forecast
5. Weighted Moving Average forecast
6. Single Exponential Smoothing forecast
60. Cubic spline interpolation on 28.06.2021
61. Missing terms in interpolation table on 27.05.2021
62. Lagrange's Inverse Interpolation formula on 24.05.2021
63. on 11.05.2021
1. LU decomposition using Doolittle's method of Matrix
2. LU decomposition using Crout's method of Matrix
3. Solve systems of linear equations using Doolittle's method
4. Solve systems of linear equations using Crout's method
64. Statistical Methods on 09.04.2021
1. Five number summary for ungrouped data
2. Box and Whisker Plots for ungrouped data
3. Five number summary for grouped data
4. Box and Whisker Plots for grouped data
65. Verifying if two functions are inverses of each other on 03.04.2021
66. Polynomial on 13.03.2021
1. Polynomial in ascending order
2. Polynomial in descending order
3. Degree of a polynomial
4. Leading term of a polynomial
5. Leading coefficient of a polynomial
6. Determine expression is a polynomial or not
7. Zeros of a polynomial
67. is Negative Definite Matrix on 28.02.2021
68. Row Space on 13.02.2021
69. Column Space
70. Null Space
71. Percentage on 06.02.2021
72. Arithmetic Progression
73. Geometric Progression
74. Simple Interest
75. Compound Interest
76. Relaxation method on 22.01.2021
77. Karnaugh Map method (Kmap) on 21.01.2021
78. Quine-McCluskey method
79. Halley's Method on 11.01.2021
80. Steffensen's Method
81. is Derogatory Matrix on 03.11.2020
82. Functions on 30.07.2020
1. Domain of a function
2. Range of a function
3. Inverse of a function
4. Properties of a function
5. Vertex of a function
6. Focus of a function
7. axis symmetry of a parabola
8. Directrix of a function
9. Intercept of a function
10. Parity of a function
11. Asymptotes of a function
83. on 26.07.2020
1. solve equation `3/y+14/x=5,21/x-1/y=2` by taking `1/x=X` and `1/y=Y`
2. solve equation `3x+14y=5xy,21y-x=2xy` by dividing `xy`
84. on 09.07.2020
1. Taylor Series method
2. cuberoot(48) using iteration method
85. Numerical Interpolation using on 06.07.2020
11. Hermite's formula
86. Numerical Interpolation using on 24.06.2020
6. Gauss Forward formula
7. Gauss Backward formula
8. Stirling's formula
9. Bessel's formula
10. Everett's formula
87. Numerical Differentiation using on 24.06.2020
4. Newton's Divided Difference formula
5. Lagrange's formula
6. Stirling's formula
7. Bessel's formula
88. Numerical Integration using on 24.06.2020
4. Boole's Rule
5. Weddle's Rule
89. Sequencing Problems - Processing 2 Jobs Through m Machines Problem on 17.04.20
90. SOR (Successive over-relaxation) method on 11.04.20
91. For P(3,4), find the value of all six trigonometric functions on 29.03.20
92. Bairstow method on 03.03.20
93. 3 Missing frequencies when Mean or Median or mode are given on 31.01.2020
94. fog(x)=(x+2)/(3x), f(x)=x-2. Find g(x)
95. gof(x)=1/x^2, f(x)=2+x^2. Find g(x).
96. Data envelopment analysis (DEA method) on 05.01.2020
97. Determinants using Sarrus Rule on 23.10.19
98. Determinants using properties of determinants
99. Hyperbolic functions implemented on 26.09.19
100. Five number summary
101. diagonally dominant equation
102. set builder notation (Code improved) on 19.09.19
103. stem and leaf plot
104. Partial Fraction bug solved on 13.09.19
105. PERT and CPM Network diagram (improved) on 26.08.19
105. BCD and Excess 3 Addition and Subtraction using 9's or 10's complement Method on 22.08.19
1. BCD Addition
2. BCD Subtraction using 9's complement
3. BCD Subtraction using 10's complement
4. Excess 3 Addition
5. Excess 3 Subtraction using 9's complement
6. Excess 3 Subtraction using 10's complement
107. Conversion on 22.08.19
1. Decimal To BCD
2. Binary To BCD
3. Octal To BCD
4. Hexadecimal To BCD

5. BCD To Decimal
6. BCD To Binary
7. BCD To Octal
8. BCD To Hexadecimal
9. BCD To Excess 3

10. Decimal To Excess 3
11. Binary To Excess 3
12. Octal To Excess 3
13. Hexadecimal To Excess 3

14. Excess 3 To Decimal
15. Excess 3 To Binary
16. Excess 3 To Octal
17. Excess 3 To Hexadecimal
18. Excess 3 To BCD

19. Decimal To Gray code
20. Binary To Gray code
21. Octal To Gray code
22. Hexadecimal To Gray code

23. Gray code To Decimal
24. Gray code To Binary
25. Gray code To Octal
26. Gray code To Hexadecimal
108. Logarithmic equations 07.08.19
Unitary Method (Chain Rule) 18.07.19
109. If 17 books cost Rs 306, what do 29 books cost?

110. If 5 artical cost Rs 90, the cost of 9 artical is?

111. If 20 persons can do a piece of work in 7 days, then the number of persons required to complete the work in 28 days is?

112. If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field, working 8 hours a day?
Probability 17.07.19
113. 3 unbiased coins are tossed, What is the probability of getting exactly 2 tails

114. In a throw of two dice, What is the probability getting a total of 10 or 11

115. two card is drawn at random from a pack of 52 cards. What is the probability that the drawn cards are both aces

116. A bag contains 5 blue and 4 black balls. Three balls are drawn at random, what is the probability that 2 are blue and 1 is black?
Problems on Ages 16.07.19
117. 10 years ago, A was 4 times as old as B. 10 years hence, A will be 2 times as old as B. At present, A's age and B's age is ?

118. The ratio of Meena's age and Kamla's age is 3 : 5 and the sum of Meena's age and Kamla's ages is 80 years. The ratio of their ages after 10 years will be ?
Quadratic equations (Solution by considering m) on 10.07.19
119. `(x^2+1/x^2)-8(x+1/x)+14=0`
120. `4((4x+1)/(4x-1))^(2)+(4x+1)/(4x-1)=3`
121. `12((x)/(x-1))+12((x-1)/(x))=25`
122. Vector Algebra on 08.07.19
1. Addition/Subtraction of two vectors
2. Scalar Multiplication of vectors
3. Dot Product of two vectors
4. Cross Product of two vectors
5. Magnitude(length) of a vector
6. Unit vector
7. Direction cosines of a vector
8. Component form of a vector given two points
9. Angle between two vectors
10. Vector projections of B onto A
11. Orthogonal vectors
12. Collinear vectors
13. Coplanar vectors
14. Scalar triple product
15. Area of triangle determined by two vectors
16. Area of parallelogram determined by two vectors
17. Volume of pyramid determined by vectors
18. Volume of Parallelepiped determined by vectors
19. Decomposition of vector in basis
20. Linearly dependent and linearly independent vectors
123. Normal Distribution Table
124. t Distribution Table
125. Chi square Distribution Table
126. F Distribution Table
127. Binomial Distribution Table

128. F test
129. t-test
130. Standard error
131. Sign test
132. Mann whitney U test
133. Kruskal-wallis test
134. Chi square test
135. Median test
136. Mood's Median test
137. Cholesky decomposition method of a System of linear equations on 06.06.19
138. Covariance - Population Covariance, Sample Covariance for bivariate grouped data on 03.06.19

139. Covariance - Population Covariance, Sample Covariance for bivariate grouped data on 03.06.19
140. LU decomposition method / Crout's method of a System of linear equations on 30.05.19
141. Mean, Quartile, Decile, Percentile deviation for ungrouped data on 19.05.19
142. Mean, Quartile, Decile, Percentile deviation for grouped data on 19.05.19

143. One-way ANOVA on 09.05.19
144. Two-way ANOVA on 09.05.19

145. Power Method for dominant eigenvalue on 28.04.19

146. Partial Fraction on 19.04.19

147. Find roots of non-linear equations using Modified Newton Raphson method (Multivariate Newton Raphson method) on 19.04.19

148. Solve linear equations using Elimination method on 19.04.19
149. Maximize Profit case in transportation problem on 07.04.19

150. Revised Simplex method on 26.03.19

151. Moore-Penrose Pseudoinverse on 22.03.19

152. Geometric mean, Harmonic mean for ungrouped data on 21.03.19
153. Geometric mean, Harmonic mean for grouped data on 21.03.19
154. LQ Decomposition on 20.03.19
155. Muller method on 20.03.19
156. Matrix Algebra on 17.03.19
1. Matrix Algebra with variables `[[2x,3y],[3x,4z]]`
2. Matrix Algebra with complex numbers `[[-5i,3i],[4i,5i]]`
3. Matrix Algebra with surds `[[1/sqrt(2),sqrt(2)],[4,-5]]`
157. PERT and CPM on 10.03.19
1. Network diagram
1. Activity, Predecessors
2. Activity i-j
3. Activity i-j, Name of Activity

2. Critical path, Total float, Free float, Independent float
1. Activity, Predecessors, Duration
2. Activity i-j, Duration
3. Activity i-j, Name of Activity, Duration

3. Project scheduling with uncertain activity times (Optimistic, Most likely, Pessimistic)
1. Activity, Predecessors, to, tm, tp
2. Activity i-j, to, tm, tp
3. Activity i-j, Name of Activity, to, tm, tp

4. Project crashing to solve Time-Cost Trade-Off with fixed Indirect cost
1. Activity, Predecessors, Normal Time & Cost, Crash Time & Cost and Indirect Cost
2. Activity i-j, Normal Time & Cost, Crash Time & Cost and Indirect Cost
3. Activity i-j, Name of Activity, Normal Time & Cost, Crash Time & Cost and Indirect Cost

5. Project crashing to solve Time-Cost Trade-Off with varying Indirect cost
1. Activity, Predecessors, Normal Time & Cost, Crash Time & Cost and varying Indirect Cost
2. Activity i-j, Normal Time & Cost, Crash Time & Cost and varying Indirect Cost
3. Activity i-j, Name of Activity, Normal Time & Cost, Crash Time & Cost and varying Indirect Cost
158. Transportation Problem
1. Heuristic method-1 on 07.01.19
2. Heuristic method-2 on 07.01.19
3. Row minima method on 24.12.18
4. Column minima method on 24.12.18
5. Russell's approximation method on 24.12.18


159. class and their frequency table on 31.12.18
160. less than or more than type cumulative frequency table on 31.12.18


161. Ratio and Proportion on 02.12.18

162. Synthetic division on 12.11.18

163. Singular Value Decomposition (SVD) on 04.11.18

164. All problem solution using search box on 05.10.18
165. Share solution on facebook, twitter with your friends on 17.08.18
166. Matrix Structure on 24.07.18
167. Algorithm, Formulas, Examples added at respective pages on 20.07.18
168. Simplex method Algorithm and examples on 08.07.18
169. Statistical Methods on 30.03.18
1. Permutation & combination
1. Find `n!`
2. Find `(n!)/(m!)`
3. Find `{::}^nP_r`
4. Find `{::}^nC_r`
5. How many words can be formed from the letters of the word daughter?
6. How many ways a committee of players can be formed ?
7. Permutation, Combination List

2. Probability
1. Coin
2. Dice
3. Cards
4. Balls
170. Calculus
1. Trigonometry on 20.03.18
1. Simplifying trigonometric equations, proving identities, eg. (1) `sin(30)*cos(60)+sin(30)*cos(60)`, (2) `tan(x)+cot(x)`, (3) `tan^2(x)-sin^2(x)`, (4) `csc(x)/cos(x)-cos(x)/sin(x)`
2.1 If `sin(x)=5/13` then Find the value of other five trigonometric functions
2.2 If `sin(x)=3/5` then solve expression `cos(x)csc(x)+tan(x)sec(x)`

2. Derivative on 20.03.18
1. Find Derivative, eg. (1) `d/(dx)(2x^(3)-2x^(2)-5x+4)`, (2) `d/(dx)(log(x)e^(x))`, (3) `d/(dx)(3cos(sin(x)))`
2. Find maximum and minimum value of `y=x^3+6x^2-15x+7`
171. About us

172. Algebra
1. Functions
2. Set Theory (using builder form)
3. Interval notation and set builder notation

173. Word Problems
1. Problems on Ages
2. Unitary Method (Chain Rule)

174. Simplex method
1. Branch and Bound method
2. 0-1 Integer programming problem

175. Game Theory
1. Bimatrix method

176. Matrix operations
1. Cholesky Decomposition
2. QR Decomposition (Gram Schmidt Method)
3. QR Decomposition (Householder Method)

177. Solve numerical differential equation using
1. Adams bashforth predictor method
2. Milne's simpson predictor corrector method

178. Coordinate Geometry

 





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