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Find no. of non negative integral solutions, Find no. of non negative integ...

Find no. of non negative integral solutions x 1 +x 2 +x 3 +4x 4 =20 Solution)  140. Break them into prime factors . Put 4 = 2^2 and every variable will have factors in 2,3,5 with

Evaluate the volume of cylinder, If the diameter of a right cylinder is dou...

If the diameter of a right cylinder is doubled and the height is tripled, its volume is a. multiplied by 12. b. multiplied by 2. c. multiplied by 6 d. multiplied by 3.

Vectors, The angles between three non-zero and non coplanar vectors a,b and...

The angles between three non-zero and non coplanar vectors a,b and c are α between b and c and β between c and a and γ between a and b. The vector u and v are defined by u=(aX

Complex numbers from the eigenvector and the eigenvalue, Complex numbers fr...

Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.

Calculate the instantaneous rate of change of the volume, Assume that the a...

Assume that the amount of air in a balloon after t hours is specified by                                             V (t ) = t 3 - 6t 2 + 35 Calculate the instantaneous

Find out primes of each denominator, Find out primes of each denominator: ...

Find out primes of each denominator: Add 1/15 and 7/10 Solution: Step 1:             Find out primes of each denominator. 15 = 5 x 3 10 = 5 x 2 Step 2:

Definition of differential equation, The first definition which we must cov...

The first definition which we must cover is that of differential equation. A differential equation is any equation that comprises derivatives, either partial derivatives or ordinar

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