Math 132: Calculus for the Physical and Life Sciences 2
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Section 5.1: # 1, 12, 17, 20
Homework 2 due Friday, January 30
Section 5.4: # 2, 5, 8, 10, 11, 15, 18, 19, 21
Section 5.5: # 2, 5, 7, 10, 13, 16, 19, 21, 22, 25, 28, 31, 40, 43, 46, 51, 61.
Homework 3 due Friday, February 6
Section 5.6: # 5, 8, 11, 14, 17, 20, 23, 26, 34, 37, 42, 45 (Note for # 34 ‑‑ this problem is similar to example 6 on page 397)
Section 5.7: # 1, 2, 5, 6, 7, 11, 14
Homework 4 due Friday, February 13
Section 5.7: # 18, 19, 20, 23, 28
Section 5.8: # 2, 6, 8, 9, 12, 17, 18
Section 5.10: # 2, 7, 8, 13, 24, 28, 32, 42, 45
Homework 5 due Friday, February 25.
Section 6.1: #1, 4, 6, 7, 8, 14 (the curves meet in only two points; you can guess the points of intersection from the graphs), #15, 22, 38
Section 6.2: #1, 4, 9, 11, 12, 22, 27, 30, 35
Section 6.3: #8 (Hint: x^2+1/2+1/(16x^2)=(x+1/(4x))^2), #22 (after setting up the integral, complete the square, make a u-substitution, and use the tables of integration)
Section 6.4: #2, 3, 6, 10
Homework 6 due Friday, March 13.
Section 6.5: # 36, 38 (assume the mass density is constant)
Section 7.1: # 2, 3, 6, 7, 8, 9, 12
Section 7.2: # 2, 3-6, 8, 13
Also the following additional problems (PDF file ). They cover material from sections 6.1-6.5.
Selected answers to the additional problems:
1) (a) 293 π/15, (c) 8 π-(π^2)/2, (e) 4 π/3 (√2-1), (g) 49 π/4;
2) 36 √3;
3) 40000 π;
4) (a) The graph is a straight line from the point (3,-2) to the point (11,4). The arclength is 10. (c) The curve is the arc of circle with radius 3 and center (0,0), starting at (0,3) and proceeding clockwise to (0,-3) (one half of the full circle). The arclength is 3 π.
5) (a) -2/(9 π);
7) 3.44 units
Complete solutions to additional problems (PDF file )
Homework 7 due Friday, March 27.
Section 7.2: # 20, 23, 24a
Section 7.3: # 2, 3, 5, 8, 10, 12, 16, 17, 35
Section 7.4: # 3, 8, 12, 15
Section 7.5: # 3, 8, 9
Section 8.1: # 3, 4, 5, 10, 11, 16, 18, 21, 27, 42, 43
Homework 8 due Friday, April 3.
Section 8.2 # 3, 4, 6, 9, 12, 13, 15, 18, 21, 24, 35, 36
Section 8.3 #2, 3, 4, 6, 7, 8, 9, 12, 15, 16, 17, 18, 22, 23
Homework 9 due Wednesday, April 8.
Section 8.3 # 19, 24, 25, 27
Section 8.4 # 2, 3, 4, 7, 8, 20, 21, 22, 24, 25
Homework 10 due Friday, April 17.
Section 8.5 # 4, 5, 8, 10, 12, 13, 16, 17, 21
Homework 11 due Monday, April 27 at 4PM (if you don't hand in the assignment in class, please bring it to my office by 4PM).
Section 8.6 # 2, 5, 6, 9, 12, 14, 23, 33
Section 8.7 # 2, 6, 7, 12, 13, 16, 22, 23, 33, 36, 42