(22 + y²+2)ds, where C is parmeterized by r(t) = (3 cos(5t), 3 sin(5t), 4t) for 0

Sketch the following, marking points of interest. Y = (x+2)(x+4)/(x+3) Y = 2 sin x + 1 Y = sin (2x)

en/6 . Evaluate : (i) cos 30 sin 60 de Jo 2a (i) x*(1-x*y/2 dx (iii) (2ax-x) dx.

A bee flies along a path given by r(t) =< sin(2t), cos(2t), 5t + 1 > . Knowing thatthe bee started on this path at t = 0 seconds and ended her flight by landing on aflower after 30 seconds, find the distance along the path traveled by the bee.(Assume r(t) is measured in centimeters.)

Evaluate sin (x) cos“(x) dx.