List of top Mathematics Questions on Calculus asked in AP PGECET

Let a random variable \( X \) follow Poisson distribution such that \( P(X = 0) = 2P(X = 1) \). Then, P(X = 3) = ______ 
 

Simpson's \( \frac{1}{3} \) rule is applied when
The inverse Laplace transformation of \( \frac{s+5}{s^2 + 4s + 4} \) for \( t \geq 0 \), is
The value of the real variable \( x > 0 \) that minimizes the function \( f(x) = x^{-x} e^x \) is:
The solution of the differential equation \(\frac{d^2y}{dx^2} - 3 \frac{dy}{dx} + 2y = 0\) satisfying \(y(0) = 0\), \(y'(0) = 1\), is