Find the arc length parameter along the given curve from the point where t=0 by evaluating the integral ​s= ∫ v(ι)dι. Then find the length of the indicated portion of the curve. r(t)= (4+5t)i +(8+2)j +(2-7)k, -1 t<= t <=0

In part i, the independent variable, the one that is intentionally manipulated, in part ii, the independent variable changes the dependent variable, the one you measure the response in, is the same for parts i and ii. for both parts of the lab, the dependent variable

Pls me this is due today and i need i will make brainliest if you me answer correctly and i will report if you try to give me a dumb answer.

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.