Calculus II Homework

  • Problems are normally due at 11:59pm (I won't check 'til morning).
  • Late homework will not be accepted.
  • You are encouraged to work together on these problems.
  • They may be handed in jointly (unless I change my mind).
  • Present work neatly and legibly (your grader thanks you).
  • Label each problem and page number or chapter/section.
  • Assemble them in correct order.
  • Scan your homework into one .pdf
  • At the top of page 1, clearly print your NAME(S).
Homework 1, due 1/24: Honor Code

Homework 2, due 1/29

  • Show (prove) that the derivative of sinh(x) = cosh(x)
  • Show (prove) that the derivative of cosh(x) = sinh(x)
  • Define what sech(x) should be. Prove tanh(x)′ = [sech(x)]^2
  • 6.1, pg 280: 12, 14, 20, 26, 80, 82
  • 6.2, pg 292: 6, 8

Homework 3, due 2/5

  • 6.2, pg 292: 14, 36, 46
  • 6.5, pg 320: 9
  • 6.7, pg 339: 18, 24, 30, 36, 46

Homework 4, due 2/14

  • 6.8, pg 351: 8, 14, 24, 34
  • 6.8, pg 351: 30, 32, 36,  42, 44
  • 7.4, pg 386: 4, 18

Homework 5, due 2/28

  • 10.2, pg 586: 18, 20, 22, 24
  • 10.3, pg 600: 6, 8, 18, 20, 22 (no sketch), 26 (no sketch), 32
  • 10.5, pg 621: 6, 8, 10 (Only the vector equation!)
  • 10.6, pg 629: 8, 10, 12

Homework 6, due 3/7

  • 11.1, pg 636: 20, 22, 26, 28, 30
  • 11.2, pg 649: 12, 14, 16, 22, 24, 26, 30, 32, 34, 42
  • 11.4, pg 672: 8, 12, 22

Homework 7, due 3/26

  • 12.1, pg 689: 18, 20, 22, 28 (Use Mathematica.)
  • 12.3, pg 711: 8, 10, 14, 18, 24, 28, 30, 32
  • 12.6, pg 738: 8, 12, 14, 18, 20, 24, 26
  • 12.8, pg 758: 6

Problems to look at for Exam II

  • Do the practice exam and other problems.

Homework 8, due 4/9

  • 13.1, pg 767: 6b
  • 13.2, pg 779: 6 (evaluate both iterations of the integral), 8, 14, 20
  • 8.1, pg 417: 10, 12, 18, 24, 26, 38

Homework 9, due 4/16

  • 8.2, pg 432: 14a, 16, 18, 20 (use limit theory!), 22, 24, 36, 38, 44, 46
  • 8.3, pg 441: 6, 8, 12, 14, 16, 20, 24, 30, 38, 40
  • 8.4, pg 447: 10, 12, 26, 30

Homework 10, due 4/23

  • 8.5, pg 458: 6, 8, 10, 14, 20
  • 8.6, pg 471: 10, 12, 14, 18, 26

Homework 11, due 4/28

  • 8.8, pg 496: 12, 18, 20, 32 hint: write sqrt(x) as x^(1/2)