 # Calculus 2 questions and answers

Recent questions in Calculus 2 deliriwmfg 2021-11-14 Answered

### Consider the vector-valued function $$\displaystyle{r}{\left({t}\right)}{)}={t}^{{2}}{i}+{\left({t}-{3}\right)}{j}+{t}{k}$$. Write a vector-valued function s(t) that is the specified transformation of r. i. a vertical traation 3 units upward ukelangf0 2021-11-14 Answered

### When is the vector field continuous? rabbitz42z8 2021-11-14 Answered

### Air enclosed in a sphere has density $$\displaystyleρ={1.4}\ {k}\frac{{g}}{{m}^{{3}}}$$. What will the density be if the radius of the sphere is halved, compressing the air within? kursval7z 2021-11-14 Answered

### If $$\displaystyle{x}{y}+{8}{e}^{{y}}={8}{e}$$, find the value of y'' at the point where x = 0. Eichowa4 2021-11-14 Answered

### Find parametric equations for the line through the point (0,1,2) that is perpendicular to the line x=1+t, y=1-t, z=2t and intersects this line. Boduszewox6 2021-11-14 Answered

### Write an equivalent series with the index of summation beginning at = 1. $$\displaystyle{\sum_{{{n}={0}}}^{\infty}}{\left(-{1}\right)}^{{n}}+{1}{\left({n}+{1}\right)}{x}^{{n}}$$ philosphy111of 2021-11-13 Answered

### Determine the sum of the following series. $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}{\left({\frac{{{1}^{{n}}+{9}^{{n}}}}{{{11}^{{n}}}}}\right)}$$ TokNeekCepTdh 2021-11-13 Answered

### Consider the vector-valued function $$\displaystyle{r}{\left({t}\right)}={t}^{{{2}}}\hat{{{i}}}+{\left({t}-{3}\right)}\hat{{{j}}}+{t}\hat{{{k}}}$$. Write a vector-valued function s(t) that is the specified transformation of r. iii. a horizontal traation 5 units in the direction of the positive y-axis Tomasettiq3 2021-11-13 Answered

### Use linear approximation (or differentials) to estimate: $$\displaystyle\sqrt{{{99.2}}}$$ What am I supposed to do with this? I am not given x or dx veudeje 2021-11-13 Answered

### Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high, and the depth of the water is 4 ft. How much work is required to pump all of the water out over the side? (Use the fact that water weighs 62.5lb/ft^3.) gabioskay7 2021-11-13 Answered

### Compute each of these double sums: a) $$\displaystyle{\sum_{{{i}={1}}}^{{2}}}{\sum_{{{i}+{1}}}^{{3}}}{\left({i}+{j}\right)}$$ b) $$\displaystyle={\sum_{{{i}={1}}}^{{2}}}{\left({i}+{1}+{i}+{2}+{j}+{3}\right)}$$ vousetmoiec 2021-11-12 Answered

### Find a vector-valued function whose graph is the indicated surface. The cylinder $$\displaystyle{4}{x}^{{2}}+{y}^{{2}}={16}$$ Lorenzolaji 2021-11-12 Answered

### b) Consider the vector-valued function $$\displaystyle{r}{\left({t}\right)}={t}^{{2}}{i}+{\left({t}-{3}\right)}{j}+{t}{k}$$. Write a vector-valued function s(t) that is the specified transformation of r. ii, a horizontal traation 2 units in the direction of the negative x-axis kzae220o3 2021-11-12 Answered

### Find a vector equation and parametric equations for the line segment that joins P to Q. $$\displaystyle{P}{\left({1},-{1},{8}\right)},\ {Q}{\left({8},{2},{1}\right)}$$ pro4ph5e4q2 2021-11-12 Answered

### Find the curvature of $$\displaystyle{r}{\left({t}\right)}={<}{7}{t},{t}^{{2}},{t}^{{3}}{>}$$ at the point $$\displaystyle{\left({7},{1},{1}\right)}$$ akutagawatj 2021-11-12 Answered

### Consider the vector-valued function $$\displaystyle{r}{\left({t}\right)}={3}{t}^{{{2}}}{i}+{\left({t}−{1}\right)}{j}+{t}{k}$$. Write a vector-valued function u(t) that is the specified transformation of r. A vertical traation two units upward glamrockqueen7 2021-11-08 Answered

### Approximate the sum of the series correct to four decimal places. $$\displaystyle{\sum_{{{n}}}^{\infty}}{n}={\frac{{{1}{\left(-{1}\right)}^{{n}}}}{{{3}^{{n}}{n}!}}}$$ waigaK 2021-11-08 Answered

### Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. $$\displaystyle{r}^{{{2}}}=-{6}{r}{\sin{\theta}}$$ babeeb0oL 2021-11-06 Answered

### Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. $$\displaystyle{r}^{{{2}}}=-{4}{r}{\cos{\theta}}$$ Yulia 2021-11-06 Answered

### Replace the Cartesian equation with equivalent polar equations. x = 7

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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