Type:
Test Bank
Resource:
Calculus for the Life Sciences
Edition:
1st Edition
Author(s):
Marvin L. Bittinger Neal Brand John Quintanilla
CONTENTS
I. CHAPTER TESTS, FORMS A-F and FINAL EXAMINATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
There are six DIFFERENT test forms for each chapter and the final examination. All six test forms are modeled after the Chapter Tests in the text.
Included at the end of each chapter test and the final exams are both synthesis and technology-based exercises. The synthesis exercises are meant to be more challenging and they generally require students to go beyond the immediate objectives of the chapter. Synthesis exercises are separated from the main body of the test by a solid line. The technology-based exercises follow the synthesis exercises and are separated by a bold line. Both the synthesis and the technology-based exercises have been placed at the end of the tests to make it easy to omit them if the instructor wishes to do so.
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 Final Examinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235
II. ANSWER KEYS FOR TESTS, FORMS A-F, AND FINAL EXAMINATION . . . . . . . . . . . . . . . . . . . . . 283
III. ANSWERS TO THE EVEN-NUMBERED EXERCISE SETS IN THE TEST . . . . . . . . . . . .. . . . . . . . . . 369
If the instructor wants students to have all of the answers for the exercises in the exercise sets of the test, these answers can be easily duplicated.
IV. ANSWERS TO THE EXTENDED LIFE CONNECTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 449
These answers are provided for the Extended Life Science Connections that occur at the end of each chapter in the text. The Extended Life Science Connections are designed to consider interesting applications of calculus in the life sciences. These problems make use of curve fitting, regression, modeling and problem-solving using technology; and allow for possible group or collaborative learning.
Special thanks to Joanne Ha for technical and production support. Special thanks to Joe Vetere for producing numerous graphs required for this manual and test bank.
CALCULUS FOR THE LIFE SCIENCES Name: ______________________
Chapter 1, Form A 1. Heart Attacks and Cholesterol. The following graph relates the annual heart attach rate per 10,000 men and their blood cholesterol level. (Copyright 1989, CSPI, Adapted from Nutrition Action Healthletter)
Use the graph to answer the following: (a) What is the annual heart attack rate per 10,000 men for those whose blood cholesterol level is 275 mg/dl?
1. (a) _________________________
(b) What is the blood cholesterol level for men with a heart attack rate of 100 attacks per 10,000 individuals?
1. (b) _________________________
2. A function is given by f ( x ) = x 3 − 4 . Find
(a) f ( −2 ) .
2. (a) _________________________
(b) f ( x + h ) .
2. (b) _________________________
3. What are the slope and the y-intercept of y = −
4. Find an equation of the line with slope
( 3, −6 ) .
1 x −5 ? 2
3. ____________________________
2 , containing the point 3
5. Find the slope of the line containing the points ( 3, −2 ) and ( −6 , −8 ) .
4. ____________________________
5. ____________________________
2
CALCULUS FOR THE LIFE SCIENCES, Chapter 1, Form A
Find the average rate of change. 6.
7.
6. ____________________________ 7. ____________________________ 8. Ohm’s Law. The electrical current I, in amperes, in a circuit is directly proportional to the voltage V. When 45 volts are applied, the current is 15 amperes. Find an equation of variation expressing I as a function of V.
8. ____________________________
9. For the following graph of function, f, determine (a) f (1) ; (b) the domain; (c) all x-values such that f ( x ) = 3 ; and (d) the range.
9.(a) _________________________
9.(b) _________________________
9.(c) _________________________
9.(d) _________________________
10. Solve for x: x 2 + 4 x − 8 = 0.
11. Convert to rational exponents:
10. ____________________________
1 5
x4
12. Convert to radical notation: y − 2 3 .
.
11. ____________________________
12. ____________________________
CALCULUS FOR THE LIFE SCIENCES, Chapter 1, Form A
13. Graph: f ( x ) =
2 x
3
13. 5
y
4 3 2 1 −5
−4
−3
−2
−1
x 1
−1
2
3
4
5
−2 −3 −4 −5
14. Graph: f ( x ) =
x 2 − 16 x−4
14. 10
y
8 6 4 2 −10
−8
−6
−4
−2
−2
x 2
4
6
8
10
−4 −6 −8 −10
Determine the following exactly. 15. cos ( − 5π 6 )
15. __________________________
16. sin ( 5π 6 )
16. __________________________
17. tan (π 2 )
17. __________________________
18. Solve for the missing side, x.
x 50 4.27
18. ____________________________
4
CALCULUS FOR THE LIFE SCIENCES, Chapter 1, Form A
Find all values of t that satisfy the equation. 19. 4 sin 2 t = 3
19. ____________________________
20. 2 sin 2 t − sin t − 1 = 0
20. ____________________________
For each of the following functions, find the amplitude, period, and midline. Also, find the maximum and minimum 21. y = 3sin ( 2t ) − 4
21. ____________________________
22. y = cos ( 2t ) − 2
22. ____________________________
23. Determine if the graph should be modeled by either y = a sin bt + k or y = a cos bt + k , Then find a, b, and k. y
1 −π
−3π/4
−π/2
−π/4
−1
t
π/4
π/2
3π/4
π
−2 −3 −4 −5 −6 −7 −8
23. ______________________________
2 ⎪⎧ x + 1, for x ≥ 1 24. Graph: f ( x ) = ⎨ ⎪⎩ x − 2, for x < −1
24. 5
y
4 3 2 1 −5
−4
−3
−2
−1
−1 −2 −3 −4 −5
x 1
2
3
4
5