Partial Differentiation | IIT JAM 2017 | Problem 5

Try this problem from IIT JAM 2017 exam (Problem 5) based on Partial Differentiation. It deals with calculating the partial derivative of a multi-variable function. Partial Differentiation | IIT JAM 2017 | Problem 5 Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a...

Rolle’s Theorem | IIT JAM 2017 | Problem 10

Try this problem from IIT JAM 2017 exam (Problem 10).This problem needs the concept of Rolle’s Theorem. Rolle’s Theorem | IIT JAM 2017 | Problem 10 $$f(x)=\left\{\begin{array}{ll}1+x & \text { if } x<0 \\ (1-x)(p x+q) & \text { if } x \geq...

Radius of Convergence of a Power series | IIT JAM 2016

Try this problem from IIT JAM 2017 exam (Problem 48) and know how to determine radius of convergence of a power series. Radius of Convergence of a Power Series | IIT JAM 2016 | Problem 48 Find the radius of convergence of the power series $$ \sum_{n=1}^{\infty}...

Eigen Value of a matrix | IIT JAM 2017 | Problem 58

Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix. Eigen value of a Matrix | IIT JAM 2017 | Problem 58 Let $\alpha, \beta, \gamma, \delta$ be the eigenvalues of the matrix $$ \begin{bmatrix} 0 & 0 & 0 & 0...