Justification for each step is required for this assignment

Math 1152 Written Homework 1 - Page 3 Spring 2022 2. [22 pts] Let R be the region given by the graph below. Y A. Calculate the intersection points (x, y) of the two curves shown in the graph above. Remember to show your work. B. Set up, but do not evaluate. an integral or sum of integrals in terms of x that would give the area of the shaded region. C. Set up, but do not evaluate. an integral or sum of integrals in terms of y that would give the area of the shaded region. Math 1152 Written Homework 1 - Page 4 Spring 2022 Problem 2 continued... 1' y=(X+1)2 l ) X D. If R is the base of a solid and cross sections through the solid taken perpendicular to the xaxis are semicircles, set up, but do not evaluate, an integral or sum of integrals that would give the volume of the solid. E. If the region R is rotated around the line x = 5, set up, but do not evaluate, an integral or sum of integrals in terms of x that would give the volume of the solid. F. If the region R is rotated around the line x = 5, set up, but do not evaluate, an integral or sum of integrals in terms of y that would give the volume of the solid