Detailed Explanations for Calculus 2 Equations

Approximate the sum of the series correct to four decimal places.
$\sum_{n}^{\infty} n = \frac{1 {(- 1)}^{n}}{3^{n} n!}$

Yulia 2021-11-06

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

Tobias Ali 2021-11-06

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

EunoR 2021-11-06

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

Globokim8 2021-11-05

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

Jason Farmer 2021-11-04

Prove that $1 \cdot 1! + 2 \cdot 2! + \cdot \cdot \cdot + n \cdot n! = (n + 1)! - 1$ whenever n is a positive integer.

nicekikah 2021-11-03

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

Maiclubk 2021-11-03

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

vazelinahS 2021-11-02

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

Aneeka Hunt 2021-10-30

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

vestirme4 2021-10-29

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

remolatg 2021-10-28

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

slaggingV 2021-10-28

Suppose you are climbing a hill whose shape is given by the equation $z = 1000 - 0.005 x^{2} - 0.01 y^{2}$ , 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?

Harlen Pritchard 2021-10-26

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

ossidianaZ 2021-10-25

Determine the interval of convergence and find a power series representation for the function.
$f (x) = \frac{2}{3} - x$

Tazmin Horton 2021-10-25

The Cartesian coordinates of a point are given.

(i) Find polar coordinates $(r, θ)$ of the point, where $r > 0 and 0 \leq θ < 2 π$ .

(ii) Find polar coordinates $(r, θ)$ of the point, where r<0 and $0 \leq θ < 2 π$ . $(3 \sqrt{3}, 3)$

Lipossig 2021-10-24

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

CheemnCatelvew 2021-10-23

Find parametric equations for the line of intersection of the planes $3 x - 2 y + z = 1$ , $2 x + y - 3 z = 3$

fortdefruitI 2021-10-23

Find the general solution of the given differential equation. Give the largest interval over which the general solution is defined. Determine whether there are any transient terms in the general solution.
$\cos x \frac{d y}{d x} + (\sin x) y = 1$

Burhan Hopper 2021-10-22

Rationalize. An equation in $R^{3}$ will intersect the xy - plane when z=0, intersect the xz - plane when y=0, and intersect the yz-plane when x=0. We acqured from the previous item:

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.

Calculus 2

Calculus 2 Equations: Expert Solutions and More