MAT 168H Suggested HW Problems

Highlighted homework will influence the next test.
Problems in bold were on quizzes (or would have been).

Due Date

 Assignment
Syllabus quiz remains radioactive to the end of the semester, with a half-life of one week.
7 Dec
  • p. 540 #13, 23, 27, 37, 43, 49, 51, 65, 71, 87
  • p. 556 #7, 8, 13, 27, 32(b), 35 (ignore the Trapezoidal Rule and the table but find the error), 39(b), 53
  • p. 567 #7, 11, 27, 29, 37, 39, 47, 61, 62, 74, 83, 87
23 Nov p. 529 #9, 11, 21, 25, 35 (Hint: complete the square first), 66, 81
23 Nov p. 521 #11, 13, 15, 19, 25, 31, 37, 39, 41, 46, 47, 51, 55, 59, 64, 67, 71
20 Nov p. 512 #7, 9, 11, 17, 19, 23, 25, 33, 45, 47, 49, 51
16 Nov p. 506 #9, 11, 15, 19, 23, 29, 31, 33, 39, 45, 49, 63
Material on Test 2 from here down.
6 Nov p. 459 #17, 19, 27, 29, 53
28 Oct
  • p. 440 #3, 9, 27, 33
  • p. 449 #4, 9, 15, 33
26 Oct p. 432 #5, 7, 17, 17, 27, 41, 66, 67
21 Oct p. 420 #7, 15, 17, 22, 27, 29, 35, 43, 45, 55
18 Oct p. 408 #5, 7, 13, 26 (integrate with respect to \(y\)), 29, 51, 53, 61, 65
11 Oct p. 399 #9, 19, 33, 37, 41, 43, 54, 61, 65
7 Oct p. 374 #9, 17, 19, 21, 23, 25, 29, 31, 35, 37, 39, 44, 47
Turn in by due date for Extra Credit: p. 383 #84, p. 374 #65
2 Oct
  • p. 383 #1, 5, 8, 13, 15, 19, 21, 29, 31, 33, 35, 41, 51, 53, 57, 65, 77, 91, 93, 102
    Hint for #77: factor the denominator first.
  • p. 320 #13-23 odd, 31, 35, 37, 45, 47, 49, 53, 37, 59, 73, 83, 89, 93, 101, 111
  • p. 366 #23, 31, 39, 45, 49
Material on Test 1 from here down.
16 Sepp. 366 #11, 17, 61, 63, 67, 69 (Hint: FTC says the first function should be the derivative of the second), 75, 85(a, b, e), 95, 111
11 Sepp. 351 #3, 7, 9, 25, 29, 31, 35, 39, 41, 43, 45, 47, 51, 69, 73
Turn in by due date for Extra Credit: p. 354 #79
7 Sepp. 336 #1, 3, 5, 9, 11, 13, 17, 21, 27, 35, 39, 41(a,b,c,d), 55, 59, 65, 67
2 Sepp. 300 #4, 6, 17, 25, 37, 39, 45, 53 (Hint: use trig identities), 55, 63, 69, 95, 102, 103
26 Augp. 309 #1, 5, 7, 9, 15*, 24, 27, 39, 45
*To find the intersection of two curves defined by functions \(f(x)\) and \(g(x)\), find the root of the difference between their functions, \(f(x)-g(x)=0\).
21 Aug
  • Read the syllabus. There will be a quiz!
  • In class, we computed the second guess of Newton’s Method for \(f(x)=\cos(x)-x\) as follows:
    • The first guess was \(x=0.8\). We don’t know if that’s close enough, so we need a second guess.
    • We build a tangent line at \(x=0.8\). For the point, we need \(y=f(0.8)=\cos0.8-0.8\) and for the slope we need \(m=f'(0.8)=-\sin0.8-1\approx-1.7174\).
      (I made a typo when I used my computer in class. The correct value is this one.)
    • The second guess is the root of the tangent line, which turned out to be \(0.7399\).
      (Again, I made a typo when I used my computer in class. The correct value is this one.)
    Compute the third guess by building a tangent line at \(x=0.7399\) and finding the root of that tangent line.