1. Chapter 7 Quiz Calculators allowed

2. 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. 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) 1.202 c).598 d).202

4. 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) 29.346 b) 33.326 c) 21.093 d) 37.203 6. 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) 2.429 c) 1.235 d) 2.989

5. 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) 1.340 c).942 d).471 8. 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) 13.923 b) 19.238 c) 11.239 d) 16.755

6. 9. What is the length of the curve y=e x from 0 to 1? a) 1.642 b) 1.120 c) 1.339 d) 2.000 10. What is the length of the curve y=sin(x) from 0 to ∏? a) 2.828 b) 3.229 c) 3.142 d) 2.201

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