Concepcion Hale
2021-12-10
Answered

Find the centroid of the region bounded by the given curves. $y={x}^{3},x+y=2,y=0$

You can still ask an expert for help

Linda Birchfield

Answered 2021-12-11
Author has **39** answers

or

They intersect at (1,1)

Since integrating with respect to x would mean we need to do two separate integrals for everything (from

Find the area of the bounded region.

If we change all the x to y in the formula to find

Likewise, if we change all the x to y in the formula to find

lalilulelo2k3eq

Answered 2021-12-12
Author has **38** answers

Say f(x) and g(x) are the two bounding functions over $[a,b]$

The mass is$M={\int}_{a}^{b}f\left(x\right)-g\left(x\right)dx$

We find the moments:

${M}_{x}=\frac{1}{2}{\int}_{a}^{b}({\left[f\left(x\right)\right]}^{2}-{\left[g\left(x\right)\right]}^{2})dx$

${M}_{y}={\int}_{a}^{b}x(f\left(x\right)-g\left(x\right))dx$

And the center of mass,$(\stackrel{\u2015}{x},\stackrel{\u2015}{y})$ , is

$\stackrel{\u2015}{x}=\frac{{M}_{y}}{M}$

$\stackrel{\u2015}{y}=\frac{{M}_{x}}{M}$

The mass is

We find the moments:

And the center of mass,

asked 2021-09-07

Determine whether each of these functions is a bijection from R to R.

a)

b)

c)

asked 2021-06-11

Find the linear approximation of the function

asked 2021-09-10

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?

asked 2021-09-07

Consider the following function $f\left(x\right)=\mathrm{ln}(1+2x),\text{}a=3,\text{}n=3,\text{}2.6\le x\le 3.4$ Approximate f by a Taylor polynomial with degree n at the number a. Use Taylor's Inequality to estimate the accuracy of the approximation $f\left(x\right)\approx {T}_{n}\left(x\right)$ when x lies in the given interval. (Round your answer to six decimal places.) $\left|{R}_{3}\left(x\right)\right|\le 0.000001$

asked 2022-03-19

degree 3 zeros at x=4,x=3,x=2, y intercepts at (0,24)

asked 2021-09-12

Find a function f such that

C is the arc of the parabola

asked 2021-05-22

Find the absolute value.

$|5+8i|$