1) z^4+8=i83 2) An area D is limited by the x-axis, the line x=3 and the graph to f(x)=x^2-2x.

Hi!I need some help with these assignments:1) z^4+8=i8√32) An area D is limited by the x-axis, the line x=3 and the graph to f(x)=x^2-2x. Find the the volume of the rotating body you get when D rotates around the line x=3. Use integration.3) You are 1.8 meters high and walks away from a 5.4 meters high light-pole in a straight line. You walk with a speed of 2.4 m/s. how fast does your shadow grow?4) A 3 meter tall painting hangs on a vertical wall in front of you. The lower edge of the painting is 1 meter above your eye-level. How far away from the painting should you stand for the angle θ, between your eyes and the lower and upper edge of the painting, to be as big as possible?

1)z^4+8=i8√3GivenZ4 = -8+8i√3 Z4 = 16(-1/2 + i√3/2) Z4 = 16(cos2π/3+ isin2π/3) Z4 = 16ei2π/3 Z = (16ei2π/3)1/4 = 2eiπ/6 Z = 2(cos(π/6)+isinπ/6) = √3+i2) An area D is limited by...