The function r(t) traces a circle. determine the radius, center, and plane containing the circle r(t)=−9i+ (11cos(t))j+ (11sin(t))k

we are given

r(t)=−9i+ (11cos(t))j+ (11sin(t))k

now, we can find x-components , y-component and z-component

now, we can square and add them

now, we can simplify it

we can also write as

now, we can compare it with

Center:

(0,0,0)

radius:

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

good luck on your studies! : )

david edward.