Homework

In case you miss a homework assignment in class, you can find it below. Unless otherwise specified, all problems are from the 12th Edition of Calculus for Business, Economics, Life Sciences, and Social Sciences published by Prentice Hall (Pearson). When I return graded homework, I may post some solutions here too; see the downloading help if you have trouble reading them. (See the grading policies for general instructions on doing homework and how it will be graded.)

Introduction and review:
- Date assigned: April 1 Monday;
- Date due: April 3 Wednesday;
- Problems from Chapter 1 Review (pages 40–42):
  - Show at least one intermediate step for each: 1–4;
  - No additional work needed: 11&12;
  - Show at least one intermediate step for each part: 13, 28&29;
  - Show what equations you solve or what numerical calculations you make: 36&37;
- Problems from Chapter 2 Review (pages 120–124):
  - Show what numerical calculations you make: 5;
  - No additional work needed: 6–9;
  - Show what numerical calculation you make on a calculator: 13–16;
  - No additional work needed: 17;
  - Show what calculations you make: 47–50;
  - No additional work needed: 68&69;
- Extra credit (essay): Explain your background in mathematics and what you are going to use this course for;
- Some answers: DjVu format, PDF format.
Continuity and smoothness:
- Date assigned: April 5 Friday;
- Date due: April 8 Monday;
- Problems from Chapter 2 Review (pages 120–124): No additional work needed: 88.A&B, 90.A&B
- Problems from Section 3.3 (pages 161–164):
  - No additional work needed: 11.E, 14.E, 20.E, 21.E, 22.E;
  - Show a sign chart: 35–41 odd;
  - No additional work needed: 57, 59, 61, 77, 81;
- Referring to Exercise 3.3.81 again, is S smooth at 50?;
- Some answers: DjVu format, PDF format.
Differences and differentials:
- Date assigned: April 10 Wednesday;
- Date due: April 12 Friday;
- Problems from the handout (DjVu, PDF):
  - Show what numerical calculations you make: 1–6;
  - No additional work needed: 7, 9;
  - Show at least one intermediate step for each: 11, 13, 15, 16, 17, 19;
  - Some answers: DjVu format, PDF format.
More differentials:
- Date assigned: April 12 Friday;
- Date due: April 15 Monday;
- Problems from the previous day's handout (DjVu, PDF):
  - Show at least one intermediate step not shown in the answers at the end of the handout: 25, 27;
  - No additional work needed: 29, 30, 32;
  - Show at least one intermediate step not shown in the answers at the end of the handout: 35, 37, 41, 43, 45, 53;
  - Some answers: DjVu format, PDF format.
Derivatives:
- Date assigned: April 15 Monday;
- Date due: April 17 Wednesday;
- Problems from Section 3.5 (pages 184–187):
  - No additional work needed: 1, 3, 5, 9;
  - Show at least one intermediate step: 11, 13, 17;
- Problems from Section 4.4 (pages 240–243): Show at least one intermediate step not shown in the answers in the back of the book: 51, 63, 79, 81;
- Problems from Section 4.3 (pages 231–233): Show at least one intermediate step not shown in the answers in the back of the book: 39, 41, 45;
- Problems from Section 4.5 (pages 248–249): Find dy/dx at the given value of (x, y); show a general formula for dy/dx as an intermediate step: 11, 13, 15, 16;
- Some answers: DjVu format, PDF format.
Applications of derivatives:
- Date assigned: April 19 Friday;
- Date due: April 22 Monday;
- Problems from Section 5.2 (pages 296–301): Show the first derivative as an intermediate step: 7, 9;
- Problems from Section 3.5 (pages 184–187): Show what calculations you make or what equations you solve: 53, 55, 88, 89;
- Problems from Section 4.4 (pages 240–243): Show what calculations you make or what equations you solve: 92;
- Problems from Section 4.3 (pages 231–233): Show what calculations you make or what equations you solve: 88;
- Problems from Section 3.7 (pages 200–203):
  - No additional work needed: 1–7 odd;
  - Show at least one intermediate step: 9, 11;
  - No addtional work needed if you do them all in order: 13–18;
  - Show what numerical calculations you make: 31, 35, 37.
Related rates:
- Date assigned: April 24 Wednesday;
- Date due: April 26 Friday;
- Problems from Section 4.6 (pages 254&255):
  - Show at least two intermediate steps: 1, 3, 5;
  - Show what equation you differentiate, as well as at least one more intermediate step: 9, 17, 18, 19, 21;
- Some answers: DjVu format, PDF format.
Limits:
- Date assigned: April 29 Monday;
- Date due: May 1 Wednesday;
- Problems from Section 3.1 (pages 138–141): For each limit, show what numerical calculation or calculation with infinities you make and show one intermediate step whenever you use an algebraic simplification (or L'Hôpital's Rule): 21, 23, 27, 29, 32, 34, 43, 46, 52, 53, 54;
- Problems from Section 3.2 (pages 150–153):
  - No additional work needed: 1–8;
  - For each limit, show what numerical calculation or calculation with infinities you make and show one intermediate step whenever you use an algebraic simplification (or L'Hôpital's Rule): 9, 11, 13, 15, 31, 33;
  - State what limits you calculate: 63, 65;
  - Show what numerical calculation or calculation with infinities you make and show one intermediate step if you use an algebraic simplification (or L'Hôpital's Rule): 73;
- Some answers: DjVu format, PDF format.
L'Hôpital's Rule:
- Date assigned: May 1 Wednesday;
- Date due: May 3 Friday;
- Problems from Section 5.3 (pages 309&310): For each limit, show what numerical calculation or calculation with infinities you make and show one intermediate step whenever you use L'Hôpital's Rule (or an algebraic simplification): 1, 3, 9, 31, 33, 35, 37;
- Some answers: DjVu format, PDF format.
Optimisation:
- Date assigned: May 3 Friday;
- Date due: May 6 Monday;
- Problems from Section 5.5 (pages 330&331):
  - No additional work needed: 1–4;
  - Show what equations you solve and what numerical calculations you make (without using a graph): 11, 15, 16, 17, 21, 25, 27, 33, 37, 41, 45, 57, 59, 61;
  - Some answers: DjVu format, PDF format.
Applied optimisation:
- Date assigned: May 8 Wednesday;
- Date due: May 10 Friday;
- Problems from Section 5.6 (pages 340&343): Show what equations you solve and what numerical calculations you make: 11, 13, 17, 23, 24, 34, 37.
Graphs:
- Date assigned: May 13 Monday;
- Date due: May 17 Friday;
- Problems from Section 3.2 (pages 150–153): Show what limits you take: 21, 23, 27, 40, 42, 43, 48, 52;
- Problems from Section 3.5 (pages 184–187): Show what calculations you make or what equations you solve: 49, 51;
- Problems from Section 4.4 (pages 240–243): Show what calculations you make or what equations you solve: 43, 45;
- Problems from Section 4.3 (pages 231–233): Show what calculations you make or what equations you solve: 49, 51;
- Problems from Section 4.5 (pages 248–249): Show what calculations you make or what equations you solve: 33, 37;
- Problems from Section 5.1 (pages 278–283):
  - No additional work needed: 1–8, 11–18;
  - Show what equations or inequalities you solve: 27, 31, 35, 39, 63–68;
- Problems from Section 5.2 (pages 296–301):
  - No additional work needed: 1, 2;
  - Show what equations or inequalities you solve: 19–29 odd, 89, 91;
- Problems from Section 5.4 (pages 319–323):
  - No additional work needed: 1, 2;
  - Use a graphing calculator if you like, but calculate the window size first and make sure that all intercepts, local extrema, and asymptotes appear: 17, 19, 29, 35, 37.
Exponents and logarithms:
- Date assigned: May 20 Monday;
- Date due: May 22 Wednesday;
- Problems from Section 4.2 (pages 222&225): No additional work needed: 1, 3, 5, 7, 31–41 odd;
- Problems from Section 4.4 (pages 240–243): Show at least one intermediate step not shown in the answers in the back of the book: 29, 32, 55, 58, 83, 87;
- Problems from Section 4.3 (pages 231–233): Show at least one intermediate step not shown in the answers in the back of the book: 9, 11, 23, 25, 48;
- Problems from Section 4.5 (pages 248–249): Find dy/dx at the given value of (x, y); show a general formula for dy/dx as an intermediate step: 17, 18, 21;
- Problems from Section 5.2 (pages 296–301): Show the first derivative as an intermediate step: 15;
- Problems from Section 5.3 (pages 309&310): For each limit, show what numerical calculation or calculation with infinities you make and show one intermediate step whenever you use L'Hôpital's Rule (or an algebraic simplification): 5, 7, 11, 13, 23, 25, 27, 29, 39, 41, 43, 45.
Applications involving exponents and logarithms:
- Date assigned: May 24 Friday;
- Date due: May 29 Wednesday;
- Problems from Section 4.1 (pages 215&216): Show what numerical calculations you make or what equations you solve: 17, 19, 25, 33, 38;
- Problems from Section 4.7 (pages 260–262):
  - Show at least one intermediate step for each: 25, 27, 29, 31, 33;
  - No additional work needed: 37;
  - Show what equation or inequality you solve: 39, 41, 45;
  - Show what calculation you make or what equation you solve: 63, 65.
Integration:
- Date assigned: May 31 Friday;
- Date due: June 3 Monday;
- Problems from Section 6.1 (pages 358–361):
  - No additional work needed: 1–15 odd, 17, 21;
  - Show at least one intermediate step for each: 35, 37, 39, 43, 47, 51, 61, 63, 65, 71;
- Problems from Section 6.2 (pages 370–372): Show what substitution you make: 13, 17, 21, 25, 29, 33, 49, 53, 55, 57, 61, 63;
- Problems from Section 6.5 (pages 401–404):
  - Show at least what numerical calculation you make for each: 5, 9, 13, 17, 21, 25, 27, 29, 31, 35;
  - This is a trick question, so explain why: 39;
  - Show at least what numerical calculation you make for each: 49, 51, 53.

That's it!

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This web page and the files linked from it were written between 2003 and 2013 by Toby Bartels, last edited on 2013 June 12. Toby reserves no legal rights to them.

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