Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
ANSWER KEY
Quiz 4, 17 November 2009, 20 minutes, 1 page, 15 points.
Circle your answers.
(4 points)
White version: Find the derivative of
Pink version: Find the derivative of
x3e2x
ln
.
(x + 1)5/3
x3/7ex
.
ln
(x 1)5
Solution.
white version
pink version
Th
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
1
Math 140 Test 3, Fri 6 Nov 2009, 4 pages, 35 points, 50 minutes. ANSWERS
(7 points)
white version
orange version
If f (x) = x3 + 3x1/3 on the interval If g (x) = x4 + 2x3 + x2 + 7 on the inter1 x 1, then the highest value val 5 x 5, then the lowest valu
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
Quiz 1 ANSWER KEY
7 September 2009, 20 minutes, 1 page, 15 points.
General notes on partial credit: A wrong answer will receive partial credit if
some work is shown that demonstrates the student had some idea of what he or she
was doing; how much credit w
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
Test 1 answer key.
(4 points)
Yellow version: What is the domain of the function
White version: What is the domain of the function
4
x7
or
[ 7, )
x 37
x7 ?
x3 7 ?
or
[
3
7, )
Partial credit: I took o one point if the interval was written as x > instead
7
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
1
Math 140 Test 2, Mon 12 Oct 2009, 3 pg, 35 pts, 50 min. ANSWERS
(5 points)
Yellow version: Using the method of dierentials (i.e., using a derivative in
the appropriate fashion), nd the approximate value of 100.1 . (You are not
asked to nd the exact valu
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
ANSWERS TO FINAL EXAM, Monday 14 December 2009, page 1
Section
Name (please PRINT):
Math 140 Final Exam, Fall 2009, 6 pages, 50 points, 120 minutes.
(6 points) Find the equation of the tangent line to the graph of
x2 y 3 y 2 + xy 1 = 0
at the point (1, 1)
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
Quiz 2 answers
(4 points)
White version: Find the line tangent to y = x3 + x at (1, 2).
Solution. y = 3x2 + 1, so when x = 1 we get y = 4. Thus we
want a line through (1, 2) with slope 4. That is y 2 = 4(x 1) or
y = 4x 2 .
Green version: Find the line tan
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
ANSWERS TO FINAL EXAM, Tuesday 15 December 2009, page 1
Section
Name (please PRINT):
Math 140 Final Exam, Fall 2009, 6 pages, 50 points, 120 minutes.
(6 points) Find the equation of the tangent line to the graph of
(x y 1)3 = x
at the point (1, 1). Hint :
Applied Calculus for the Managerial, Life, and Social Sciences
MATH 140

Fall 2009
Quiz 3, 23 October 2009, 20 minutes, 1 page, 15 points. ANSWERS.
(6 points)
white version
green version
Find the absolute maximum value Find the absolute minimum value
of f (x), where f (x) = x4 8x2, of g (x), where g (x) = 1 x2 + x1,
2
1
on the interval