Math 1152 Written Homework 1 - Page 2 Spring 2022 Improper Markings: Incomplete bubbles, x's, checkmarks. and other markings will not be recognized. Do not use these marks to indicate correct or incorrect answers. - Acceptable Marking for selected answers: . o Acceptable Marking for mselected answers: Q o Unacceptable MarkingS: 1. Directions: Fill in the circle next to the correct response(s). Q1: True or False [6 pts] Determine whether each statement below is true or false. 1 If the region bounded by y = ;. y = 0, x = 1, and x = 2 is revolved about y = 2. the washer method could be used to set up the volume of the resulting solid as an integral or sum of integrals with respect to x. The region bounded by y = J}, x = 1, x = 4 and y = 8 is revolved about the line y = 3. If the shell method is used to find the volume of the resulting solid, more than one integral is needed. 6') The base of a solid is the region in the (x,y)-plane bounded by y = 4 x2 and y = 2. If cross-sections taken parallel to the yaxis are equilateral triangles, then an integral with respect to y should be used to compute the volume of the solid. 5 Q2: Multiselect [10 pts] Consider the integral / 2\\/)_( dx. Fill in the circles next to all of the quantities below that this 2 integral represents. The area bounded by x = y2. x = 2, and x = 5. 4 The family of functions X3/2 + C, where C is the constant of integration. The volume of the solid whose base in the (x,y)-plane is bounded by y = 2\\/)_