Professor Valdez
Math 3A – Calculus I
College of Alameda
Fall 2014
Final Review Questions
Date: Monday, 12/8/14, 6:00 pm – 8:00 pm
Material Covered: Chapters 1-5, excluding Sections 2.4, 3.8, 3.9, 3.11, 4.6, 4.8, & 5.5.
Resources Allowed: 1 side of a Handwritten 8.5’’x11’’ Cheat Sheet
(a calculator will not be needed)
Use the questions below to study for the Chapter 5 Material on the final. Hints & solutions
may be embedded in the ebook, but you can always check the odd answers at the end of the
ebook. Remember, you are still obligated to review your notes, in-class worksheets,
homework, and especially your old quizzes & tests.
o
o
o
o
Section
Section
Section
Section
5.1:
5.2:
5.3:
5.4:
4
23, 25, 33, 35, 37, 39, 48, 49, 57
15, 17, 45, 51, 57
12, 25, 27, 31, 35, 41, 54, 61, 68
2
o Extra Problem 1: The function f (t ) = et has no known antiderivative of an
elementary function, but why is it impossible
3
ò f (t ) £ 0.
-6
o Extra Problem 2: Find
ò
2
0
f (x) if
ò
2
-2
(f (x) - x 3 )dx = 8 assuming f is even.
o Extra Problem 3: Without using substitution, explain why
o Extra Problem 4: Find
ò
5
2
f (x)dx if f (x) is odd and
ò
5
-2
ò
1
-1
x 1- x 2 dx = 0.
f (x)dx = 8.
o Extra Problem 5: A particle moves back and forth along a straight line where its
velocity at time t seconds is given by v(t) = cost m/s . Find the displacement and
distance travelled by the particle when 0 £ t £ 3p /2.