Question

Find the average value of y=sqrt(64-(x^2), on its domain.

Answer 1

a. 2pi
b. 4pi
c. 2
d. 4

Answer 2

@amistre64

Answer 3

you got the domain?

Answer 4

-8 to 8

Answer 5

an interval of length \(16\) right?

Answer 6

correct @satellite73

Answer 7

\[\frac{1}{16}\int_{-8}^8\sqrt{64-x^2}dx\] the integral you do by area not by anti derivatives

Answer 8

2pi or 6.2831...

Answer 9

right? @satellite73

Answer 10

the integral is have the area of a circle with radius 8 so \(\frac{1}{2}\times 64\pi=32\pi\)

Answer 11

yeah divide by \(16\) and get \(2\pi\) what you said

Answer 12

*half

Answer 13

yah!! @satellite73 can u help me w/ another problem?

Answer 14

maybe?

Answer 15

Find the domain for the particular solution to the differential equation (dy/dx) = (3y/x), with initial condition y(1) = 1.

Answer 16

a. x > 0
b. x < 0
c. x ≠ 0
d. All real numbers

Answer 17

i would think the solution is \[y=Cx^3\]right?

Answer 18

maybe there is something here i am missing