Find the length of the curve. r(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4

we are given

now, we can find x , y and z components

Arc length calculation:

we can use formula

now, we can plug these values

now, we can simplify it

now, we can solve integral

now, we can plug bounds

and we get

so,

..............Answer

i would pic false cause it goes down towards negative

step-by-step explanation: