Equivalent Problems for the 5th Edition Text Be sure to number your problems according to the original assignment so the grader does not go postal on us. Hwk Set #1 Ch 3 Review: 1, 5, (x + 1/x^2)^sqrt(7), 14, 15, 17, 35, (x tan x)^(1/5), 56. Ch 5 Review: 16, 21, 25, 29, 30, 31, 35, 36. 12.1: 6, 10ce, 13, 17, 25, 28 but x=z not y=x, 33, 38. 12.2: 25-33. 12.3: 1, 2, <4,1,1/4>*<6,-3,-8>, 6, 7, 11, 22, 36. Hwk Set #2 12.4: 1, 6 , 9, 13, 14, 22, 23, 27, 31, 35. 12.5: 3, 4, ?, 9, 10, 16, 17, 21, 23, 24, 27, 30, 31, 32, 35, 36, 37, 38, 65. 12.6: 3-8, 15, 16, 21-28. 13.1: 1,8, 10, <1, cos t, 2*sin t>, 17, 19-24, 25, 13.2: Use directions for 3-6 but apply to ?: r(t) =, t = -1 4: r(t) = <1+t, sqrt(t)>, t = 1 ?: r(t) = sin(t)i+ 2cos(t)j, t = pi/4 6: r(t) = (e^t)i + (1/e^t)j, t = 0 13.2 continued: 9, 10, 19, 24, 35, ?? Find r(t) if r'(t)= and r(0)=<1,1,1>, and #40 back in 13.1 = #66 in 10.7 of the new book. Note: Your 12.7 has been moved to a later chapter. 10.7 in the new book is 13.1 & 13.2 in your book. ---------------------------------------- I have corrected Hwk Set #3. The two blue problems were left out. ---------------------------------------------- Hwk Set #3 Ch 3 R: Solve for x: ln(x+1) + ln(x-1) = 1. (Was #17 in original assignment) Find ( t^2 ln(t) )'. (Was #21) Find ( e^t / (1+e^t) )'. (Was #22) #33 (Was #25) #8 (Was #26) #32 (Was #48) #48 (Was #46) Ch 4 Review #11 (Was Ch 3 Review #79) 13.3 (Was 10.8 in original assingment) 1, 6, 10, ??, 12, 13, 15, 17 19, 25, 36, 37, 40, 41, 47, 50. ?? = "Let r(t)=< 3sin t, 4t, 3cos t>. Starting from <0,0,3> move 5 units of length along the curve. What is your new position?" (#9 in original assignment is similar to your #11, but not the same.) 13.4 (Was 10.9 in orinial assignment) Follow the diecrtions for 3-8 for 1. < -(t^2)/2, t> , t=2 3. < 3cos t, 2 sin t> , t = pi/3 6. < t, 2cos t, sin t> , t=0 Follow the directions for 17-18(a) 11. a(t) = i + 2j, v(0)=k, r(0)=i 20 (was 16) 32 (was 28) 33 (was 29) 40 (was 34) --------------------------------------------- Check that Hwk Set #4 makes sense now. --------------------------------------------- Hwk Set #4 Chapter 11 in new book is chapter 14 in old book. 14.1 Sketch the domain of f(x,y)=sqrt(xy)., 16, Graph z=6-3x-2y., Graph z=y^2+1., 26, 28, 34, Draw contour map of z=x^3 - y., 39, 40, 42, 44, make computer graph for the next three: z = e^x cos y, z = (1-3x^2+y^2)e^(1-x^2-y^2), 51. You will need to borrow someone's book for 41-46. They are matching problems but the pictures are different. 14.2: 10, 11, 14, 16, 15, 23, 35, 37, 38. 14.3: 20, 26, 30, 67, 69. ---------------------------------------------------- Hwk Set #5 14.4: 2, 3, 5, 6. 14.5: 3, 4, 6, 7, 11, 12, 14, 17, 19, 21, 23, 51. 14.6: 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 25, 34, 41, 44. ------------------------------------------------- Hwk Set #6 (Note: New 12.1 = Old 15.1+ 15.2. New 12.2= Old 15.3) 11.7: 5, 6, 9, 10, 16 (include computer graphs), 27, 30, 37, 39 but use y^2 = 9 + xz, 43. 14.8: [f(x,y) = e^(xy); x^3 + y^3 = 16], 7, 9, 11, 17, 18. 15.1: (none, but be sure to read it) 15.2: 3, 4, 5, 8, 15, 14. 15.3: 3, 7, 13, 16, 20, 21, 25, 27, 43, 45. --> ------------------------------------------------- Hwk Set #7 15.4: 12, 24, 27, 18, 33, 35. 15.5: 2, 3, 7, 9, 11, 15, 17. (Skip 15.6) 15.7: 4, 5, 7, 10, 12, 13, 19. Hwk Set #8 12.7: 37, 44, 50a; 15.8: 7-13, ??. 12.7: 40, 42, 50b: 15.8: 17, 18, 19, 20, 21, 24, ??, 29, 30, 37, ??, 38. 15.9: 3, 7, 9, 11, 13, 19, 20. 16.1: 2, 4, 6, 11-18. Hwk Set #9 16.2: 7, 10, 11, 17, 20, 21, 38, 39. 16.3: 4, 5, 7, 15, 19, ??, ??. 16.4: 7, 8, 10, 13, 15, 18. 16.5: 2, 3, 14, 15, 18, 19, 25, 28, 36a. Hwk Set #10 Ch 7 Review: 5, 8, 9, 10, 15, 16, 19, 24, 26, 50. 16.6: 11, 14, 15, 16, 17, 18, 19, 32, ??, ??, ??, 39. 16.7: 17, 5, 7, 9, 11, 15, 16, 21, 35, 37. Hwk Set #11 Ch 11 Review: 11, 12, 27, 40, 41, 45, 47, 48, 51. 16.8: 2, 3, 5, 6, 9, 10, 14. 16.9: 5, 7, 8, 11, 12, 18. Ch 16 Review: ??, ??, 11, 16, 20, 27-30.