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 What's new (Calculators) 1. Logarithmic equations 07.08.19 Unitary Method 18.07.19 2. If 17 books cost Rs 306, what do 29 books cost? 3. If 5 artical cost Rs 90, the cost of 9 artical is? 4. 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? 5. 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 6. 3 unbiased coins are tossed, What is the probability of getting exactly 2 tails 7. In a throw of two dice, What is the probability getting a total of 10 or 11 8. two card is drawn at random from a pack of 52 cards. What is the probability that the drawn cards are both aces 9. 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? Problem on Ages 16.07.19 10. 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 ? 11. 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 12. (x^2+1/x^2)-8(x+1/x)+14=0 13. 4((4x+1)/(4x-1))^(2)+(4x+1)/(4x-1)=3 14. 12((x)/(x-1))+12((x-1)/(x))=25 15. 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 16. Normal Distribution Table 17. t Distribution Table 18. Chi square Distribution Table 19. F Distribution Table 20. Binomial Distribution Table 21. F test 22. t test 23. Standard error 24. Sign test 25. Mann whitney U test 26. Kruskal wallis test 27. Chi square test 28. Median test 29. Mood's Median test 30. Cholesky decomposition method of a System of linear equations on 06.06.19 31. Covariance - Population cov(x,y), Sample cov(x,y) for X & Y or Class-X & Y on 03.06.19 32. Covariance - Population cov(x,y), Sample cov(x,y) for bivariate grouped data on 03.06.19 33. LU decomposition method / Crout's method of a System of linear equations on 30.05.19 34. Mean, Quartile, Decile, Percentile deviation for ungrouped data on 19.05.19 35. Mean, Quartile, Decile, Percentile deviation for grouped data on 19.05.19 36. One-way ANOVA on 09.05.19 37. Two-way ANOVA on 09.05.19 38. Power Method for dominant eigenvalue on 28.04.19 39. Partial Fraction on 19.04.19 40. Find roots of non-linear equations using Multivariate Newton Raphson method on 19.04.19 41. Solve linear equations using Elimination method on 19.04.19 42. Maximize Profit case in transportation problem on 07.04.19 43. Revised Simplex method on 26.03.19 44. Moore-Penrose Pseudoinverse on 22.03.19 45. Geometric mean, Harmonic mean for ungrouped data on 21.03.19 46. Geometric mean, Harmonic mean for grouped data on 21.03.19 47. LQ Decomposition on 20.03.19 48. Muller method on 20.03.19 49. 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]] 50. 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 51. 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 52. class and their frequency table on 31.12.18 53. less than or more than type cumulative frequency table on 31.12.18 54. Ratio and Proportion on 02.12.18 55. binary to gray code on 21.11.18 56. gray code to binary on 21.11.18 57. Synthetic division on 12.11.18 58. Singular Value Decomposition (SVD) on 04.11.18 59. All problem solution using search box on 05.10.18 60. Share solution on facebook, twitter with your friends on 17.08.18 61. Matrix Structure on 24.07.18 62. Algorithm, Formulas, Examples added at respective pages on 20.07.18 63. Simplex method Algorithm and examples on 08.07.18 64. 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 65. 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 all the 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 66. About us 67. Algebra 1. Functions 2. Set Theory (using builder form) 3. Interval notation and set builder notation 68. Word Problems 1. Problem on Ages 2. Unitary Method 69. Simplex method 1. Branch and Bound method 2. 0-1 Integer programming problem 70. Game Theory 1. Bimatrix method 71. Matrix operations 1. Cholesky Decomposition 2. QR Decomposition (Gram Schmidt Method) 3. QR Decomposition (Householder Method) 72. Solve numerical differential equation using 1. Adams bashforth predictor method 2. Milne's simpson predictor corrector method 73. Coordinate Geometry