Homework Math 141 (Stewart 8th Ed.)

 

Section Exercises
5.5 7,11,13,15,21,25,45,53,59,67
7.1 3,5,7,11,15,17,27,33,37
7.2 1-49 e.o.o. (e.o.o. stands for every other odd.  So, do problems 1, 5, 9, . .., 49)
7.3 5, 7, 11, 13, 15, 17, 19, 21, 27, 29
7.4 1-33 e.o.o, 43
7.5 5, 9, 13, 17, 33
4.4 9-65 e.o.o, 73, 74
7.8 1, 7, 9-41 e.o.o, 49, 51, 53
6.1 5, 9, 11, 13, 17, 20, 21, 25, 29, 47
6.2 1-17 odd, 31, 55.  Also do 63 from section 7.8. Also derive the formula for the volume of a sphere of radius a using the equation for the top half of a circle y=(a^2-x^2)^(1/2).
6.3 5, 7, 9, 11, 13, 17, 19, 25, 37, 43
6.4 2,7,9,13, 15, 16 (ans. 1411.2 J), 23, 28 (ans. 813645Pi J)
6.5 1, 5, 7, 9, 17
11.1 5, 11, 15, 17, 19, 23-55 odd, 73, 75
11.2 1, 15-25 odd, 29-45 odd
11.3 3, 7, 9, 11, 17, 19, 25, 34
11.4 1, 3, 5, 7, 11, 13, 17, 19, 23, 27, 29, 31 (on #31 use the fact that sin(x)/x goes to 1 as x goes to 0, which means sin(1/n)/(1/n) goes to 1 as n goes to infinity)
11.5 1-13 odd, 23, 25, 27
11.6 1-37 e.o.o, 43
11.8 1-3, 5, 7, 9, 11, 15, 17, 19, 23, 27
11.9 1-9 odd, 13, 15, 17 (Hint: see example 5 from text), 25, 29
11.10 7, 9, 11, 13, 14, 25, 35, 39, 54, 57, 67, 73, 77
10.1 1,5,7,9,11,13,15,19,34
10.2 1, 3, 9, 15 (Hint: 2nd derivative >0 when f is concave up), 17, 29, 31, 33, 37, 39, 41, 43
8.1  7, 9, 15, 19, 43
8.2 3 , 7, 13, 15, 17, 28 (The answer is about 7.211799724.  For the integral, use u = -e^(-x) and formula 21 from reference page 6 near the back of the book), Also try #57 from section 10.2
10.3 3, 5, 7, 11,15, 17, 21, 23, 29 (use your graphing calculator), 31, 35, 39, 55, 61, 63 (for 31, 35, and 39, don't worry about graphing in Cartesian coordinates)
10.4  7, 9, 11, 17, 21, 27, 29, 45, 51
8.3 1, 5, 7, 11, 13, 21 (find the center of mass only), 27, 29, 31
Extra Practice Evaluating Double Integrals (click here),    Solutions  (you don't need to do the last two unless you want to)
10.5 1, 5, 7, 9, 13, 15, 17, 19, 23 (For any of these problems, don't find foci, directrixes, or equations of asymptotes)
   
   
   
   
   
   
   

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