Solve 1 c and 3, give a detailed explanation

1. For each of the following, set up the integrals that represent the area of the region using (i) vertical slicing; (ii) horizontal slicing. Simplify the integrand of each integral. (a) y = x2 +4, y = -x+10 and y = 4 Done (b) y = 1 72 , y = x and y = Done (c) y= x3 - 2x2 +5 and y = x2 + 4x - 7 (Only vertical slicing) X 2. Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at (2, 4) and the x-axis. Done 3. Find the number a such that the line x = a bisects the area under the curve y = each of the following improper integrals is convergent or divergent. De