Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger and David Ellenbogen Book

Elementary Applied Calculus

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These are practice questions

Links to Book Below:

1. Calculus And Its Applications, Brief Version 12th edition | Print ISBN - 9780135164884, eText ISBN - 9780135225103 | VitalSource

2. Bittinger, Ellenbogen, Surgent & Kramer, Calculus and Its Applications: Brief Version, 12th Edition | Pearson

These are are practice questions

7. For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. 4(x) = - x- +64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative maximum point(s) is/are and there are no relative minimum point(s). Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O B. The relative minimum point(s) is/are and there are no relative maximum point(s) (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O C. The relative minimum point(s) is/are and the relative maximum point(s) is/are (Simplify your answers. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O D. There are no relative minimum points and there are no relative maximum points. b) On what interval(s) is q increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function is increasing on and decreasing on (Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.) O B. The function is increasing on The function is never decreasing Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O C. The function is decreasing on The function is never increasing. Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O D. The function is never increasing or decreasing c) What are the coordinates of the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The coordinates of the inflection points are (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no inflection points. d) On what interval(s) is q concave up or concave down? Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O A. The function is concave down on and is never concave up. O B. The function is concave up on and concave down on O C. The function is concave up on and is never concave down. e) Choose the correct graph below. O A. O B. O c OD e LA12. "The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 124 + (t - 80) ed.", where t is the week and 1 sits 52. a) Over what interval of time during the 1-year period is the number of visitors decreasing? b) Over what interval of time during the 1-year period is the number of visitors increasing? c) Find the critical point, and interpret its meaning. a) The number of visitors is decreasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) b) The number of visitors is increasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) c) The critical point is (Type an ordered pair. Type integers or decimals rounded to three decimal places as needed.) Interpret what the critical point means. The critical point means that the number of visitors was (1) - in week at approximately visitors. 'Round to the nearest integer as needed.) (1) O maximized O minimized19. Graph the following function. Then estimate any relative extrema. (x) =x (4 - 5x) Choose the correct graph below. All windows are displayed [ - 2,2,0.4] by [ - 2,2,0.4). O A. O B. O c. D. Q Q What are the coordinates of the relative extrema? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair. Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) O A. There are three relative extrema. In order of increasing x-value, the coordinates of the relative extrema are and O B. There is one relative extremum. The coordinate of the relative extremum is (0.32,1.416) O C. There are two relative extrema. In order of increasing x-value, the coordinates of the relative extrema are and D. There are no relative extrema