Solve the initial value problem $\frac{dy}{dx} = y$ with $y(0) = 3$. Determine the …
What is the value of $x$ for the converging infinite series $y = x^{x^{x^{\dots}}} …
Calculate: $$\lim_{x \to 0} \frac{\sin(x)}{x}$$
Let $f(x,y) = x^2 y$. Compute the directional derivative of $f$ at the point …