MATH 101 Quiz #3 (v.M1)
Last Name:
Friday, February 12
First Name:
Grade:
Student-No:
Section:
Very short answer question
Z
1. 1 mark Evaluate
tan62 x sec4 x dx.
Answer:
Short answer questions—you must show your work
Z
2. 2 marks Evaluate
log x
dx.
x3
3. 2 marks A 10-meter-long cable of mass 7 kg is used to lift a bucket off the ground. How
much work is needed to raise the entire cable to height 10 m? Ignore the weight of the bucket
and its contents. Use g = 9.8 m/s2 for the acceleration due to gravity. A calculator-ready
answer is acceptable.
Long answer question—you must show your work
4. 5 marks √Let a > 0 be a constant. Let R be the finite region bounded by the graph of
2
y = 1 + xex , the line y = 1, and the line x = a. Using vertical slices, find the volume
generated when R is rotated about the line y = 1.