List of top Electronics and Communication Engineering Questions on Calculus

Evaluate: $\lim_{x \to 0} \frac{e^{3x}+x^2}{3x-5x^2}$}
The general solution of the differential equation $y'' + 4y' + 4y = 0$ is:
If a fair coin is tossed 4 times, what is the probability that two heads and two tails will result?
The differential equation $\dfrac{d^2y}{dx^2} + \dfrac{dy}{dx} + \sin y = 0$ is:
As \( x \) is increased from \( -\infty \) to \( \infty \), the function \( f(x) = \frac{e^x}{1+e^x} \) behaves as

The value of the integral $\iint_R xy \,dx\,dy$ over the region R, given in the figure, is ___________ (rounded off to the nearest integer).