# High school calculus questions and answers

Recent questions in Calculus and Analysis
Tazmin Horton 2020-10-28

### Find the limit $\underset{x\to 0}{lim}\frac{x\mathrm{sin}x}{2-2\mathrm{cos}x}$

Albarellak 2020-10-28

### Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 0 and i.

Brennan Flores 2020-10-28

### Solve it please ${7}^{2}=?$

glasskerfu 2020-10-28

### Find the gradient vector field $\stackrel{\to }{F}=\mathrm{\nabla }f$ for each of the function $f\left(x,y,z\right)=\sqrt{{x}^{2}+{y}^{2}+{z}^{2}}$

CoormaBak9 2020-10-28

### Functions to power series Find power series representations centered at 0 for the following functions using known power series. Give the interval of convergence for the resulting series. $f\left(x\right)=\mathrm{ln}\sqrt{4-x}$

babeeb0oL 2020-10-28

### Which of the series, and which diverge? Give reasons for your answers. (When you check an answer, remember that there may be more than one way to determine the series’ convergence or divergence.) $\sum _{n=1}^{\mathrm{\infty }}\frac{1}{2n-1}$

ossidianaZ 2020-10-28

### Evaluate the following integrals. $\int {\mathrm{sec}}^{4}xdx$

Annette Arroyo 2020-10-28

### Let ${a}_{n}\to 0$, and use the Algebraic Limit Theorem to compute each of the following limits (assuming the fractions are always defined): $\underset{n\to \mathrm{\infty }}{lim}\frac{1+2{a}_{n}}{1+3{a}_{n}-4\left({a}_{n}{\right)}^{2}}$

CoormaBak9 2020-10-27

### Use LHospital

Trent Carpenter 2020-10-27

### Find the limit: $\underset{n\to \mathrm{\infty }}{lim}\left(\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{2n}\right)$

Wierzycaz 2020-10-27

### If possible, find scalars so that ${c}_{1}\left[\begin{array}{c}1\\ 2\\ -3\end{array}\right]+{c}_{2}\left[\begin{array}{c}-1\\ 1\\ 1\end{array}\right]+{c}_{3}\left[\begin{array}{c}-1\\ 4\\ -1\end{array}\right]=\left[\begin{array}{c}2\\ -2\\ 3\end{array}\right]$

Maiclubk 2020-10-27

### Which of the series, and which diverge? Give reasons for your answers. (When you check an answer, remember that there may be more than one way to determine the series’ convergence or divergence.) $\sum _{n=1}^{\mathrm{\infty }}\frac{3}{\sqrt{n}}$

Cabiolab 2020-10-27

### Solve the polynomial inequality graphically. $2{x}^{3}-5{x}^{2}-x+6>0$

sagnuhh 2020-10-27

### Formulate the method for adding partitioned matrices, and verify your method by partitioning the matrices in two different ways and finding their sum.

waigaK 2020-10-27

### Decide whether the composite functions, $f\circ g$ and $g\circ f$, are equal to x. $f\left(x\right)={x}^{3}+9$ $g\left(x\right)=\sqrt[3]{x-9}$

sanuluy 2020-10-27