Business Smarts - Sample Module for Calculus II

1) What is the area between the x-axis and f(x) = 5 on the interval [2,7]? Draw a graph indicating the area in question.

 a)  25.0.

 b)  35.0.

 c)  10.0.

 d)  45.0.

 e)  None of the above.

2) What is the area between the x-axis and f(x) = -2 on the interval [2,4]? Draw a graph indicating the area in question.

 a)  4.0.

 b)  -12.0.

 c)  8.0.

 d)  12.0.

 e)  None of the above.

3) What is the area between the x-axis and f(x) = x + 2 on the interval [10,15]? Draw a graph indicating the area in question.

 a)  142.5.

 b)  72.5.

 c)  70.0.

 d)  62.5.

 e)  None of the above.

4) What is the area between the x-axis and f(x) = 4 * x - 10 on the interval [-4,2]? Draw a graph indicating the area in question.

 a)  -84.0.

 b)  84.0.

 c)  72.0.

 d)  60.0.

 e)  None of the above.

5) What is the area between the x-axis and f(x) = -2 * x + 4 on the interval [-20,-10]? Draw a graph indicating the area in question.

 a)  480.0.

 b)  140.0.

 c)  340.0.

 d)  260.0.

 e)  None of the above.

6) What is the area between the x-axis and f(x) = -4 * x + 10 on the interval [0,5]? Draw a graph indicating the area in question.

 a)  -25.0.

 b)  12.5.

 c)  50.0.

 d)  25.0.

 e)  None of the above.

7) What is the area between the x-axis and f(x) = (x - 5)² on the interval [0,5]? Draw a graph indicating the area in question.

 a)  125/3.

 b)  125.

 c)  25.

 d)  250/3.

 e)  None of the above.

8) What is the area between the x-axis and f(x) = x² - 25 on the interval [0,5]? Draw a graph indicating the area in question.

 a)  125/3.

 b)  -250/3.

 c)  250/3.

 d)  125.

 e)  None of the above.

9) What is the area between the x-axis and f(x) = 2 * x - 4 on the interval [0,5]? Draw a graph indicating the area in question.

 a)  1.0.

 b)  5.0.

 c)  9.0.

 d)  13.0.

 e)  None of the above.

10) What is the area between the x-axis and f(x) = -1/2 * x + 2 on the interval [1,8]? Draw a graph indicating the area in question.

 a)  4.25.

 b)  4.0.

 c)  6.25.

 d)  2.25.

 e)  None of the above.

11) What is the area between the x-axis and f(x) = 4 * x³ on the interval [-2,4]? Draw a graph indicating the area in question.

 a)  256.0.

 b)  272.0.

 c)  240.0.

 d)  -256.0.

 e)  None of the above.

12) What is the area between the x-axis and f(x) = √x - 2 on the interval [0,8]? Draw a graph indicating the area in question.

 a)  4.4.

 b)  8.8.

 c)  0.9.

 d)  6.2.

 e)  None of the above.

13) What is the area between f(x) = 4 * x - 5 and g(x) = 2 on the interval [4,8]? Draw a graph indicating the area in question.

 a)  56.0.

 b)  72.0.

 c)  68.0.

 d)  76.0.

 e)  None of the above.

14) What is the area between f(x) = -2 * x + 2 and g(x) = -4 on the interval [-2,2]? Draw a graph indicating the area in question.

 a)  -32.0.

 b)  32.0.

 c)  16.0.

 d)  24.0.

 e)  None of the above.

15) What is the area between f(x) = 2 * x - 8 and g(x) = 4 on the interval [-1,3]? Draw a graph indicating the area in question.

 a)  27.0.

 b)  40.0.

 c)  -40.0.

 d)  14.0.

 e)  None of the above.

16) What is the area between f(x) = -4 * x - 2 and g(x) = -2 on the interval [2,6]? Draw a graph indicating the area in question.

 a)  72.0.

 b)  64.0.

 c)  80.0.

 d)  -72.0.

 e)  None of the above.

17) What is the area between f(x) = x² - 2 and g(x) = -x + 1 on the interval [-2,1]? Draw a graph indicating the area in question.

 a)  8.17.

 b)  5.67.

 c)  7.5.

 d)  -7.5.

 e)  None of the above.

18) What is the area between f(x) = -1/4 * x² + 4 and g(x) = 1/2 * x - 3 on the interval [-4,2]? Draw a graph indicating the area in question.

 a)  39.0.

 b)  26.67.

 c)  12.33.

 d)  14.33.

 e)  None of the above.

19) What is the area between f(x) = 1/2 * x - 2 and g(x) = -x + 1 on the interval [1,6]? Draw a graph indicating the area in question.

 a)  9.0.

 b)  14.75.

 c)  12.25.

 d)  15.25.

 e)  None of the above.

20) What is the area between f(x) = 2 * √x and g(x) = 1/2 * x on the interval [0,4]? Draw a graph indicating the area in question.

 a)  -0.125.

 b)  -1.25.

 c)  0.125.

 d)  -8.0.

 e)  None of the above.

Business Smarts!