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

Elementary Applied Calculus

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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

22. 15t2 Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases (depreciates) after t months, where V(t) = 70 - - (t + 3)2 a) Find V(0), V(5). V(10), and V(70). ) Find the maximum value of the inventory over the interval [0,co). c) Sketch a graph of V. d) Does there seem to be a value below which V(t) will never fall? Explain. a) V(0) = (1). (Round to two decimal places as needed.) V(5) = (2) (Round to two decimal places as needed.) V(10) = (3) (Round to two decimal places as needed.) V(70) = (4) (Round to two decimal places as needed.) b) To find the maximum value of the inventory over the interval [0,co), it is useful to find the derivative of V(t). Find V"(t). V (t) = The maximum value of V(t) over the interval [0,co) is (Round to two decimal places as needed.) c) Choose the correct graph below. O A. O B. O c. OD. a a AV a LA 30 d) Does there seem to be a value below which V(t) will never fall? O A. No, there is not a value below which V(t) will never fall. O B. Yes, the largest value V(t) will never fall below is 55. This is because the graph of V(t) has a horizontal asymptote at this value. O C. Yes, the largest value V(t) will never fall below is 0 because V(t) is an inventory value, which cannot be negative. O D. Yes, the largest value V(t) will never fall below is 15. This is because the graph of V(t) has a vertical asymptote at this value. Explain your answer in the previous step. O A. The store will maintain stock on its shelves for 15 years. O B. There will always be some goods on the shelves, and the store always has stock valued at least at $55,000. O C. The store will maintain stock on its shelves for 55 months. O D. The store might run out of inventory. (1) O months (2) 0 years (3) O months (4) O thousand dollars O thousand dollars O thousand dollars O years O months 0 years O months O thousand dollars years24. After an injection, the amount of a medication A, in cubic centimeters (cc), in the bloodstream decreases with time t, in hours. Suppose that under certain conditions A is given by the function below, where A, is the initial amount of the medication. Assume that an initial amount of 190 cc is injected. Complete parts (a) through (d)- An A(t) = = 12 + 1 a) Find A(0), A(1), A(2). A(7), and A(10). A(D) = (Type an integer or decimal rounded to the nearest ten-thousandth as needed.) A(1) = (2) (Type an integer or decimal rounded to the nearest ten-thousandth as needed.) A(2) = (3) (Type an integer or decimal rounded to the nearest ten-thousandth as needed.) A(7) = (4) (Type an integer or decimal rounded to the nearest ten-thousandth as needed.) A(10) = (5) (Type an integer or decimal rounded to the nearest ten-thousandth as needed.) b) Find the maximum amount of medication in the bloodstream over the interval [0,co). The maximum amount of medication is (6) att = c) Sketch a graph of the function. Choose the correct graph below. A. O B. O c. D MAI) 200 Q 200- Q 200 Q Q Q Q 1) According to this function, does the medication ever completely leave the bloodstream? Explain your answer. O A. No, since there is a horizontal asymptote at y = 0, there is always some remnant of the medication in the bloodstream. O B. Yes, as time, t, increases, the amount of medication in the bloodstream, A(t), goes to 0. O C. Yes, as time, t, increases, the amount of medication in the bloodstream, A(t) also increase. O D. No, as time, t increases, the amount of medication in the bloodstream, A(1) also increases. (1) OL (2) O in (3) O in (4) OL (5) O CL (6) OL O CL O cc OL O CL OL O CL O CC OL O CL O CC Occ O CC O in 3 O CC 1in 3 O in 3 O in 325. Using graphs and limits, explain how three types of asymptotes are used when graphing rational functions. Select all that apply. A. Slant asymptotes are horizontal lines y = b where functions are not defined because the limit of the function is b as x approaches co or - co. OB. Slant asymptotes are neither horizontal or vertical lines where functions are not defined because the limit of the function is the line as x approaches co or - 00. C. Vertical asymptotes are vertical lines x = a where functions are not defined because the limit of the function is either co or - co as x approaches a. D. Horizontal asymptotes are vertical lines x = a where functions are not defined because the limit of the function is either co or - 00 as x approaches a. O E. Horizontal asymptotes are horizontal lines y = b where functions are not defined because the limit of the function is b as x approaches co or - co. OF. Vertical asymptotes are neither horizontal or vertical lines where functions are not defined because the limit of the function is the line as x approaches 00 Or - 00.19. Sketch the graph of the following function. Indicate where the function is increasing or decreasing, where any relative extrema occur, where asymptotes occur, where the graph is concave up or concave down, where any points of inflection occur, and where any intercepts occur. f() = _ On what interval(s) is f increasing and on what interval(s) is f decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice O A. The function is decreasing on . The function is never increasing- 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 B. The function is increasing on and decreasing on (Simplify your answers. Type your answers in interval notation. Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) O C. The function is increasing on . The function is never decreasing. 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 D. The function is never increasing or decreasing- Determine the coordinates of the relative extrema. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The coordinates of the relative extrema are (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) B. There are no relative extrema. Determine the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. " A. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is Type equations.) O B. The function has one vertical asymptote, - (Type an equation.) O C. The function has no vertical asymptotes Determine the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is Type equations. O B. The function has one horizontal asymptote, . (Type an equation.) O C. The function has no horizontal asymptotes. Determine the slant asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slant asymptote(s) is(are) Type an equation. Use a comma to separate answers as needed.) O B. The function has no slant asymptotes On what interval(s) is f concave up and on what interval(s) is f concave down? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function is concave up on and concave down on (Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.) B. The function is concave down on and is never concave up. Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O C. The function is concave up on and is never concave down. Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) Determine the coordinates of the point(s) of inflection. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The coordinates of the point(s) of inflection are (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There are no points of inflection. Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is(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 x-intercepts. Determine the y-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The y-intercept(s) is(are) (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.) O B. There are no y-intercepts.23. Cities and companies find that the cost of pollution control increases along with the percentage of pollutants to be removed in a situation. Suppose that the cost C. in dollars, of removing p of the pollutants from a chemical spill is given below. Complete parts (a) through (d). 64,000 C(p) = 100- P (a) Find C(0), C(20), C(80), and C(90). C(D) = $ (Round to the nearest whole number as necessary. Simplify your answer.) C(20) = $ (Round to the nearest whole number as necessary. Simplify your answer.) C(BO) = $ (Round to the nearest whole number as necessary. Simplify your answer.) C(90) = $ (Round to the nearest whole number as necessary. Simplify your answer.) (b) Find the domain of C. The domain of C is (Type your answer in interval notation.) (c) Sketch a graph of C. Choose the correct graph below. OA. O B. O C. OD. AC(p) Acp) Acip) 20,000- 20,000- 20,000- 20,000- LA P P 100 100 100 100 (d) Can the company or city afford to remove 100% of the pollutants due to this spill? Explain. O A. Yes, as the percent of pollutants cleaned up, p, approaches 100, the cost, C, arrives at $64,000 which is affordable. O B. No, as the percent of pollutants cleaned up, p, approaches 100, the cost, C, approaches infinity which is not affordable