Assignment:
Q1. Using the integral ∫1-1 ∫1x2 ∫1-y0 dz dy dx
a) Sketch the region of integration. Write the integral as an equivalent iterated integral in the order:
b) dy dz dx
c) dx dz dy
d) dz dx dy
Q2. Find the volume of a wedge cut from the cylinder x2 +y2 =1 by planes z=-y and z=0.
Provide complete and step by step solution for the question and show calculations and use formulas.