Please help!

Clear Writing

Shade in the described region. Use one or more integrals to represent the area of the region. Show all work finding the limits of integration when indicated. Do not evaluate the integrals!

[1] Use one or more integrals to represent the area of the region bounded by f and g. f (x) = = 72 and g(x) = 5 -x2 Calculate the limits of integration here. Show all work. Integral(s): [2] Use one or more integrals in terms of y to represent the area of the region bounded by g and h. x =g(y) (c, d)x Integral(s): x = h(y) (a, b)[3] Use the sum of integrals to represent the area bounded by the functions below. e (x) (4,8) g(x) f (x) (15,6) * h(x) (11,2) Integral(s): [4] Use the graph below to complete the two multiple choice statements. (Circle your answers.) (a, b) The area of the region bounded by f and g is: g (x) Positive Negative 0 Undefined X (c,d) f (x) [(() - 9(x)dx is a Positive Negative 0 UndefinedII. DENTIFYING SOLIDS OF REVOLUTION [1] Find the region and axis of revolution that will generate the solid of revolution in the drawing. (Circle your answer. If more than one answer applies, circle all answers.) Solid of Revolution [1] Region bounded by: y = -2x + 8, y = 2x, y =0 Axis of revolution: y = 0 [2] Region bounded by: y = -2x + 8, y = 2x, x =0 Axis of revolution: x = 0 [3] Region bounded by: y = -2x + 8, y = 2x Axis of revolution: x - axis [4] Region bounded by: y = -2x + 8, y = 2x Axis of revolution: y - axis [2] Determine which axis, or axes, of revolution will produce the solid shown. Circle your answer. If more than one answer exists, circle all of the answers. The region is bounded by the two functions in Quadrant III. Shade in the region. The points of intersection are (-3, -6) and (1, 2). [Note: You do not need any additional information about the functions to do this problem.] Axis of revolution: [1] x = 1 [2] y = 3 [3] x = -3 [4] y =-6 [5] the x - axis [6] y = 1 [7] x = 3 [8] y = -3 [9] x = -6 [10] the y - axis