Chapter 7 Quiz Calculators allowed

1. Find the area between the functions y=x 2 and y=x 3 a) 1/3 b) 1/12 c) 7/12 d) 1/4 2. Find the area between the y=cos(x) and y=sin(x) from -3∏/4 to 5∏/4 a) 0 b) 4/√2 c) 8/√2 d) 4

3. The base of a solid is the region bounded by y=x 2 and the line y=1. Each cross section perpendicular to the x-axis is a rectangle whose height is twice as long as the length. If the shorter side is always the base, what is the volume of the solid? a) 2/4 b) 4/5 c) 4/7 d) 3/2 4.The base of a solid is the region bounded by y=x 3 and y=x. Each cross section perpendicular to the y-axis is a square. What is the volume of the solid? a).076 b) c).598 d).202

5. Determine the volume of the solid obtained by rotating the area enclosed by y=e x and y=x+2 around the line y=-1 a) b) c) d) Determine the volume of the solid obtained by rotating the area enclosed by y=sin(x), x-axis, x=0, and x=∏ around the line y=1 a)3.394 b) c) d) 2.989

7. Determine the volume of the solid obtained by rotating the area enclosed by y= √x and y=x 2 around the y-axis. a).673 b) c).942 d) Determine the volume of the solid obtained by rotating the area enclosed by y=x and y=0 from 0 to 2 around the y-axis a) b) c) d)

9. What is the length of the curve y=e x from 0 to 1? a) b) c) d) What is the length of the curve y=sin(x) from 0 to ∏? a) b) c) d) 2.201

Answer key 1 b 2 c 3 b 4 a 5 a 6 b 7 c 8 d 9 a 10 a