MATH 101 Quiz #2 (v.T2)
Last Name:
Thursday, January 28
First Name:
Grade:
Student-No:
Section:
Very short answer question
2
1. 1 mark Suppose that f (x) is apfunction and F (x) = e(x 3) + 1 is an antiderivative of f (x).
Z 5
Evaluate the definite integral
f (x) dx. Simply your answer as far as possible.
1
Answer:
Short answer questions—you must show your work
2. 2 marks Use substitution to evaluate
Z
2
2
2
yey cos(ey ) dy.
0
3. 2 marks Find the area between the curves: y = x and y = 3x
points of intersection and then integrating.
x2 , by first identifying the
Long answer question—you must show your work
p
4. 5 marks Find the total area between the curves y = x 25
0  x  3.
x2 and y = 4x, on the interval