# Tag: calculus

- Given a sphere and its dV/dt, and the pressure on the sphere along with the dP/dt, how could I find the volume of the sphere
- Calculate the amount $\sum\limits_{n=0}^{\infty}\frac{1}{(n!)^{2}}$
- Please prove divergence of arithmetic mean.
- Proof of $\sum_{n=0}^\infty \frac{f^{(n)}(a)}{n!}(x-a)^n=\sum_{n=0}^\infty \frac{f^{(n)}(b)}{n!}(x-b)^n$
- Third Order Differential Equation using the reduction of order method.
- Why isn’t the ε-δ definition $\mid f(x) – L\mid < ε \Rightarrow 0 < \mid x – a\mid < δ$? Why can't you reverse δ,ε in the implication
- Strict convexity attains minimum
- Why does the sign in Newton’s method matter
- $(1+x)^a$ McLaurin series
- If we want $x^n$ to have an inverse for all non-zero integers $n$, what must the domain of $x$ be