MATH 22 COMMON FINAL EXAM - High Point University



MATH 152 Test 2 INFORMATION Summer 2008

|SECTIONS COVERED |

|Chapter 3: Sections 3.4,3.5, 3.7 |Chapter 4: Sections 4.1- 4.5 |

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|MAIN TOPICS |

|Chapter 3: Marginal Analysis (Cost, Revenue and Profit functions), 2nd derivatives, velocity and acceleration, differentials |

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|Chapter 4: the 1st derivative test for relative extrema, the 2nd derivative test for relative extrema, finding intervals on which a |

|function is decreasing, increasing, concave up, concave down, finding inflection points, criteria from in-class handout (and text, |

|too) for finding equations of vertical and horizontal asymptotes for the graph of a function, taking limits as x ( (( or as x ( ( |

|of a polynomial or rational function; graphing using asymptote information and information about the first and second derivatives of |

|a function (also using information about the sign of the values of the function itself),finding absolute extreme values; optimization|

|word problems |

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|FORMULAS, DEFINITIONS, PROCEDURES |

|quadratic formula |Total Profit =Total Revenue - Total Cost |

|power rule, product and quotient rule formulas, chain rule and general|Profit = (# sold) (profit per unit) |

|power rule formulas |Revenue = (demand) (unit price) |

| |= (# sold)(revenue per unit) |

|boxed procedure, p. 302; boxed procedure, p. 315 |for y = f(x), dy = f ' (x0) dx (same as |

| |dy = f ' (x0) delta-x, though dy and delta-y are not the |

| |same) |

|box, bottom of p. 287; box, p. 234 | lots of boxes - sections 4.1 and 4.2 |

RELEVANT REVIEW PROBLEMS ONLINE

Table abbreviations: F97 is Fall 1997 final exam; S00 is Spring 2000 final exam; PT 1, PT 2, and PT 3 are Mr. McCombs's math 152 practice tests 1, 2, and 3, respectively. T1Key, T2Key, and T3Key are his test keys. OptWksheet is Mr. McCombs's optimization problems worksheet.

| |Sec. 3.5 |Sec. 3.7 |Sec. 4.1 |Sec.4.2 |Sec. 4.3 |Sec.4.4 |Sec. 4.5 |

|PT 1 |16 |12ac, 14 | | | | | |

|PT2 |7 | |11ac,14 |11b,15 |5,13 |3, | |

|PT3 | | | | | |1 |2,3 |

|T1Key |8 |10b,12ab | | | | | |

|T2Key | | |3 |7 |8, 10-12 | | |

|T3Key | | | | | |1 |2,3 |

|F97 | |8 |16a |16b |19 |14 |18 (contrast with|

| | | | | | | |#10, p. 323 in |

| | | | | | | |our text), 12 |

|S00 | | |9 |10 |13 |12 |7, 14 |

|OptWksheet | | | | | | |all |

SEE NEXT PAGE.

All of the above are available at Mr. McCombs's website at .

Short- form keys are available. (Exception: long, detailed key for the Optimization Problems Worksheet.)

Click on "Teaching information" and then on the link to the math 152 materials.

To get to the worksheets link and the link to the common finals, scroll down to the bottom of .

You probably won't have time to work all these problems. Look them over before you start working problems; see which problem types come up over and over again. Mr. McCombs has taught this class so often that he knows what's likely to show up on the final and plans tests accordingly.

TEST FORMAT

• 8 problems. Clear and correct communication of mathematics, not just a right answer, must be your goal. To repeat, notation and clarity are important.

• Do not bring blue books, op-scan sheets, or blank paper. If you need more paper, I will give you some.

• I will try to be in the classroom about 5 minutes early. If you are able to make it there about 5 minutes

early, that will help us get started on time.

• Plan to write in pencil. Bring pencils and eraser. Bring your calculator.

• No one will help you use your calculator during the test. You will be allowed to use your calculator on

all parts of the test. Remember that a symbolic manipulator (e. g. a TI-89) may not be used, but that a

that a 'regular' graphing calculator (e.g. a TI-83 Plus) or scientific calculator is fine.

STUDY SUGGESTIONS

1. Don't wait until the night before the test to study. Spread your studying out over several days.

2. Carefully read through class notes and study examples in notes and text.

3. Rework HW/Quizzes (first without notes, then with notes if necessary) and note problem areas.

4. Work practice problems from HW which cover problem areas from (1) and (2).

5. Work suggested problems from old Final Exams and Mr. McCombs's practice test with notes closed. (See

websites listed on common syllabus.)

6. DON'T STAY UP ALL NIGHT THE NIGHT BEFORE THE TEST! GET PLENTY OF SLEEP.

OTHER SUGGESTIONS

1. When you get the test, find the problems that you are most confident about and work those first. If you get

"stuck," move on to something else.

2. BRING YOUR CALCULATOR!! (Be sure beforehand that you have good batteries.)

Bring pencils and eraser. Use your eraser. Do not take the test in pen.

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