Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 3
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
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21-112 Calculus II:
Homework #7 Solutions
Kevin C. Lee
November 18, 2004
1
7.1
Problem 8:
C(x, y, z) = 3xy + 10yz + 5xz. The reason for 10yz is that there are two yz sides.
Problem 18:
To nd out the l
21-112 Calculus II:
Homework #9 Solutions
Chris Mirabito
December 7, 2004
1
7.4 #4 Minimize 2 x2 3xy + y 2 +
1
2
subject to the constraint 3x y 1 = 0.
A: Use the method of Lagrange Multipliers. In thi
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21-112 Calculus II:
Homework #8 Solutions
Kevin C. Lee
December 2, 2004
Section 7.3
Problem 2:
f (x, y) = 1/2x2 + y 2 3x + 2y 5. Take the partial derivatives with respect to x and y
and equate them to
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21-112 Calculus II:
Homework #2 Solutions
Kevin C. Lee
September 15, 2004
1
6.3
Problem 38:
It is the total amount of pollutants in tons that are discharged from 1995 to 1997.
Problem 42:
(a) The tota
21-112 Calculus II:
Homework #4 Solutions
Chris Mirabito
October 7, 2004
6.6 #18 Determine
e x
x
dx by making an appropriate substitution.
1
1
A: In this case the appropriate subsitution to make is u
21-112 Calculus II:
Homework #3 Solutions
Kevin C. Lee
September 24, 2004
1
6.5
Problem 10:
The formula to calculate amount with the interest compounded continuously is P ert (ref.
to page 280). Hence
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Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Announcement of Test #4
Test #4 will be administered in lecture on Friday, May 3, 2002. This is a
closed-b
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Announcement of Test #2
Test #2 will be administered in lecture on Friday, March 1, 2002. This is a
closed
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Announcement of Test #1
Test #1 will be administered in lecture on Friday, February 8, 2002.
This is a clo
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 6
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 2
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 4
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 7
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 1
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 5
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 10
Solutions to all the following problems should be written up and
handed in to your TA.
Due i
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 8
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 9
Solutions to all the following problems should be written up and
handed in to your TA.
Due in
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Assignment 11
Solutions to all the following problems should be written up and
handed in to your TA.
Due i
Department of Mathematical Sciences
Carnegie Mellon University
Spring 2002
21-112 Calculus II
Announcement of Test #3
Test #3 will be administered in lecture on Friday, March 22, 2002. This is
a close
21-112 Calculus II:
Homework #1 Solutions
Kevin C. Lee
September 10, 2004
1
6.1
Problem 46:
(a)
s(t) =
(32t) dt = 16t2 + C
Since we know at t = 0, s(t) = 400, substitute t = 0 into s(t), we get:
s(0)