# calculus 2 0

Multiple Choice: Type your answer choice in the blank next to each question number.

_____1.

Find the indicated sum.

 A. 2 B. 54 C. 46 D. -54

_____2.

Graph the ellipse and locate the foci.

 A.      foci at (0,  6) and (0, -6) C. foci at (, 0) and (-, 0) B.      foci at ( 5, 0) and (-5, 0) D.foci at (0,  5) and (0, -5)

_____3.

Solve the system by the substitution method.

2y – x = 5

x2 + y2 – 25 = 0

 A. B. C. {( 5, 0), ( -5, 0), ( 3, 4)} D. {( -5, 0), ( 3, 4)}

_____4.

Graph the function. Then use your graph to find the indicated limit.

 f(x) = 5x – 3, f(x) A. 5 B. 25 C. 2 D. 22

_____5.

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.

4x – y + 3z    =   12

x + 4y + 6z    = -32

5x + 3y + 9z    =   20

 A. {(8, -7, -2)} B. {(-8, -7, 9)} C. ∅ D. {(2, -7, -1)}

_____6.

Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.

x + y + z      =      -5

x – y + 3z     =     -1

4x + y + z    =     -2

 A. {( 1, -4, -2)} B. {( -2, 1, -4)} C. {( 1, -2, -4)} D. {( -2, -4, 1)}

_____7.

A woman works out by running and swimming. When she runs, she burns   7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Graph an inequality that describes the situation. Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the graph to quadrant I only.

 A. C. B. D.