MATH 101 Quiz #3 (v.A2)
Last Name:
Friday, February 12
First Name:
Grade:
Student-No:
Section:
Very short answer question
Z
1. 1 mark Evaluate
sin62 x cos3 x dx.
Answer:
Short answer questions—you must show your work
Z
2. 2 marks Evaluate
4y arctan(2y) dy.
3. 2 marks Find the work (in joules) required to stretch a string 20 cm beyond equilibrium, if
its spring constant is k = 30 N/m. Simplify your answer completely.
Answer:
Long answer question—you must show your work
4. 5 marks The finite region between the curves y = cos( x2 ) and y = x2 − π 2 is rotated about
the line y = −π 2 . Using vertical slices (disks and annuli), find the volume of the resulting
solid. A calculator-ready answer is acceptable. (Hint: to find where the curves intersect, look
at where they both vanish.)