# Calculus 2 questions and answers

Recent questions in Calculus 2
Tobias Ali 2021-11-06 Answered

### Replace the Cartesian equation with equivalent polar equations. x = y

EunoR 2021-11-06 Answered

### Replace the Cartesian equation with equivalent polar equations. xy = 2

Globokim8 2021-11-05 Answered

### Express the definite integral as an infinite series and find its value to within an error of at most $$\displaystyle{10}^{{-{4}}}$$ $$\displaystyle{\int_{{0}}^{{1}}}{\cos{{\left({x}^{{2}}\right)}}}{\left.{d}{x}\right.}$$

Dillard 2021-11-05 Answered

### Polar coordinates of point P are given. Find all of its polar coordinates. $$P=(1,−π/4)$$

vazelinahS 2021-11-04 Answered

### Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.) Point: (-3, 4, 5) Parallel to: $$(x-1)/2 = (y+1)/-3 = z - 5$$ (a) Parametric equations (b) symmetric equations

Jason Farmer 2021-11-04 Answered

### Prove that $$\displaystyle{1}·{1}!+{2}·{2}!+···+{n}·{n}!={\left({n}+{1}\right)}!−{1}$$ whenever n is a positive integer.

Maiclubk 2021-11-03 Answered

### Find a power series for the function, centered at c, and determine the interval of convergence. $$\displaystyle{g{{\left({x}\right)}}}=\frac{{3}}{{2}}{x}-{1},{c}={2}$$

nicekikah 2021-11-03 Answered

### Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 3-4+16/3-64/9+........

vazelinahS 2021-11-02 Answered

### Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. $$\displaystyle{10}-{2}+{0.4}-{0.008}+\ldots$$

Ramsey 2021-11-01 Answered

### In polar coordinates $$\displaystyle{r}^{{{2}}}=-{6}{r}{\sin{\theta}}$$ equation in cartesian coordinates Find the equation and plot it.

sibuzwaW 2021-10-31 Answered

### Which of the following polar coordinate pairs does not represent the point with rectangular coordinates (-2,-2)? (A)$$\displaystyle{\left({2}\sqrt{{2}};−{135}°\right)}$$ (B)$$\displaystyle{\left({2}\sqrt{{2}};{225}°\right)}$$ (C)$$\displaystyle{\left(−{2}\sqrt{{2}};−{315}°\right)}$$ (D)$$\displaystyle{\left(−{2}\sqrt{{2}};{45}°\right)}$$ (E)$$\displaystyle{\left(−{2}\sqrt{{2}};{135}°\right)}$$

Aneeka Hunt 2021-10-30 Answered

### Convert the Cartesian coordinates (—5,-12) into polar coordinates where r >0 and$$\displaystyle{0}^{{{o}}}\leq\theta\leq{360}^{{{o}}}$$. Hence, write the other two polar coordinates that represent the point.

floymdiT 2021-10-29 Answered

### For the given rectangular equation, write an equivalent polar equation. $$x^2+y^2-10x=0$$

vestirme4 2021-10-29 Answered

### Find a power series representation for the function and determine the radius of convergence. $$\displaystyle{f}{\left({x}\right)}={\frac{{{x}}}{{{\left({1}+{4}{x}\right)}^{{{2}}}}}}$$

slaggingV 2021-10-28 Answered

### Suppose you are climbing a hill whose shape is given by the equation $$\displaystyle{z}={1000}-{0.005}{x}^{{{2}}}-{0.01}{y}^{{{2}}}$$, where x,y and z are measured in meters, and you are standing at a point with coordinates . The positive x-axis points east and the positive y-axis points north. If you walk due south, will you start to ascend or descend? At what rate?

remolatg 2021-10-28 Answered

### Find a vector equation and parametric equations for the line. The line through the point $$(6,\ -5,\ 2)$$ and parallel to the vector $$(1,\ 3,\ -\frac{2}{3})$$

Harlen Pritchard 2021-10-26 Answered

### Find an equation of the tangent plane to the given parametric surface at the specified point. $$\displaystyle{x}={u}^{{{2}}}+{1},{y}={v}^{{{3}}}+{1},{z}={u}+{v};{\left({5},{2},{3}\right)}$$

ossidianaZ 2021-10-25 Answered

### Find a power series representation for the function and determine the interval of convergence. $$\displaystyle{f{{\left({x}\right)}}}=\frac{{2}}{{3}}-{x}$$

Tazmin Horton 2021-10-25 Answered

### The Cartesian coordinates of a point are given. (i) Find polar coordinates $$\displaystyle{\left({r},\theta\right)}$$ of the point, where $$\displaystyle{r}{>}{0}{\quad\text{and}\quad}{0}\leq\theta{<}{2}\pi$$. (ii) Find polar coordinates $$\displaystyle{\left({r},\theta\right)}$$ of the point, where r<0 and $$\displaystyle{0}\leq\theta{<}{2}\pi$$. $$\displaystyle{\left({3}\sqrt{{{3}}},{3}\right)}$$

Lipossig 2021-10-24 Answered

### Test the series for convergence or divergence. $$\displaystyle{\sum_{{{n}={0}}}^{\infty}}{\frac{{{\left(-{1}\right)}^{{{n}+{1}}}}}{{\sqrt{{{n}+{4}}}}}}$$

When you are dealing with any Calculus 2 homework, it is vital to have a look at the various questions and answers that will help you see whether you are correct in your approach to finding solutions. Even if you are dealing with analytical aspects of Calculus 2, it will be helpful as you are looking at provided equations and learn how the answers relate to original questions and problems specified.

Do not be afraid to take a look at the basic integration and related application if Calculus 2 does not sound clear or start with the Calculus 1 first.

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