Calculus

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Question 1 of 20
5.0/ 5.0 Points
You have 332 feet of fencing to enclose a rectangular region. What is the maximum area?
A. 6889 square feet 
B. 6885 square feet 
C. 110,224 square feet 
D. 27,556 square feet 



Question 2 of 20
0.0/ 5.0 Points
x varies inversely as y2, and x = 4 when y = 10. Find x when y = 2.
A. x = 16 
B. x = 5 
C. x = 80 
D. x = 100 



Question 3 of 20
5.0/ 5.0 Points
Suppose that a polynomial function is used to model the data shown in the graph below. For what intervals is the function decreasing?

A. 10 through 25 and 40 through 45 
B. 10 through 25 and 40 through 50 
C. 0 through 10 and 25 through 40 
D. 10 through 50 



Question 4 of 20
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x varies inversely as v, and x = 48 when v = 8. Find x when v = 64.
A. x = 6 
B. x = 64 
C. x = 8 
D. x = 48 



Question 5 of 20
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The graph of a quadratic function is given. Determine the function's equation.

A. j(x) = -x2 + 1 
B. f(x) = -x2 - 2x - 1 
C. h(x) = -x2 - 1 
D. g(x) = -x2 + 2x + 1 



Question 6 of 20
5.0/ 5.0 Points
A rain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to flow.
A. 5 inches 
B. 4 inches 
C. 4.5 inches 
D. 5.5 inches 



Question 7 of 20
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Find the indicated intercept(s) of the graph of the function.

x-intercepts of f(x) =
A. (-7, 0) 
B.  
C. (7, 0) 
D. none 



Question 8 of 20
0.0/ 5.0 Points
Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.

x2- 4x - 12 ≤ 0
A.
[6, ∞)
 
B.
(-∞, -2]
 
C.
(-∞, -2] [6, ∞)
 
D.
[-2, 6]
 



Question 9 of 20
0.0/ 5.0 Points
Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x4 + 3x3 - 5x2- 9x - 2
A. {1, -2, -2 + , -2 - } 
B. {-1, -2, -2 + , -2 - } 
C. {-1, 3, -2 + , -2 - } 
D. {-1, 2, -2 + , -2 - } 



Question 10 of 20
0.0/ 5.0 Points
Find the y-intercept for the graph of the quadratic function.

y + 4 = (x + 2)2
A. (0, 4) 
B. (0, 0) 
C. (4, 0) 
D. (0, -4) 



Question 11 of 20
5.0/ 5.0 Points
Find the zeros of the polynomial function.

f(x) = x3 + 5x2- 4x - 20
A. x = -5, x = 4 
B. x = -2, x = 2 
C. x = -5, x = -2, x = 2 
D. x = 5, x = -2, x = 2 



Question 12 of 20
0.0/ 5.0 Points
Use the Rational Zero Theorem to list all possible rational zeros for the given function.

f(x) = -2x3 + 4x2- 2x + 8
A. ± , ± , ± , ± 1, ± 2, ± 4, ± 8 
B. ± , ± 1, ± 2, ± 4, ± 8 
C. ± , ± , ± 1, ± 2, ± 4, ± 8 
D. ± , ± 1, ± 2, ± 4 



Question 13 of 20
5.0/ 5.0 Points
While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely proportional to the radius of the turn. If the passengers feel an acceleration of 10 feet per second per second when the radius of the turn is 70 feet, find the acceleration the passengers feel when the radius of the turn is 140 feet.
A. 8 feet per second per second 
B. 6 feet per second per second 
C. 7 feet per second per second 
D. 5 feet per second per second 



Question 14 of 20
0.0/ 5.0 Points
Find the vertical asymptotes, if any, of the graph of the rational function.

f(x) =
A. x = 1 
B. x = -1 
C. x = -1, x = 1 
D. no vertical asymptote 



Question 15 of 20
0.0/ 5.0 Points
Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. (2x + 1)(3x - 4) > 0
A.   
 
B.
 
C.
 
D.
 



Question 16 of 20
0.0/ 5.0 Points
Find the vertical asymptotes, if any, of the graph of the rational function.

f(x) =
A. x = 4 and x = 4 
B. x = 4 
C. x = 0 and x = 4 
D. no vertical asymptote 



Question 17 of 20
5.0/ 5.0 Points
If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 9 kilograms accelerates at a rate of per second per second by a force, find the rate of acceleration of an object with a mass of that is pulled by the same force.
A. 3 meters per second per second 
B. 27 meters per second per second 
C. 18 meters per second per second 
D. 24 meters per second per second 



Question 18 of 20
0.0/ 5.0 Points
Add or subtract as indicated and write the result in standard form. 5i - (-5 - i)
A. -5 + 4i 
B. -5 - 6i 
C. 5 + 6i 
D. 5 - 4i 



Question 19 of 20
0.0/ 5.0 Points
Find the range of the quadratic function.

f(x) = (x + 8)2- 7
A. [-7, ∞) 
B. (-∞, -8] 
C. [-8, ∞) 
D. (-∞, -7] 



Question 20 of 20
5.0/ 5.0 Points
Determine whether the function is a polynomial function.

f(x) = - x2+ 3
A. No 
B. Yes 
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