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

15. Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) =4 - x+x Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and the relative maximum point(8) is/are (Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) B. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) C. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O D. There are no relative minimum points and there are no relative maximum points. Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice. A. The function f(x) is increasing over the interval(s) and is not decreasing anywhere. Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function f(x) is increasing over the interval(s) and decreasing over the interval(s) Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) O C. The function f(x) is decreasing over the interval(s) and is not increasing anywhere. Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) Choose the correct graph below. O A. O B. O c. OD. . Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. G(x) = -x3 +x"+x-6 Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and the relative maximum point(s) is/are (Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) J B. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O C. The relative maximum point(s) is/are and there are no relative minimum points. Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O D. There are no relative minimum points and there are no relative maximum points. Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice. O A. The function G(x) is decreasing over the interval (s) and is not increasing anywhere. Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The function G(x) is increasing over the interval(s) and decreasing over the interval(s) Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) O C. The function G(x) is increasing over the interval(s) and is not decreasing anywhere. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) Choose the correct graph below. O A. O B. O c. OD a Q Q17. Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. F(x) = -4+5x Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O B. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered pair, using integers or fractions. 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. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) D. There are no relative minimum points and there are no relative maximum points. Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice. O A. The function F(x) is increasing over the interval(s) and decreasing over the interval (s) (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) O B. The function F(x) is increasing over the interval(s) and is not decreasing anywhere. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O C. The function F(x) is decreasing over the interval(s) and is not increasing anywhere. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) Choose the correct graph below. O A. O B O C. OD a a24. Graph the function. Then estimate any relative extrema. f(x) = - x0 - 3x + 37x + 50x - 300x - 600x + 7,000 Graph the function. Choose the correct graph below. O A. O B. VC. D. Q Q Q Q Q X = [- 10,10] X = [- 10,10] X =[-10,10] X = [- 10,10] Y = [-10000,10000] Y = [0,8000] Y = [ - 3000,17000] Y = [- 17000,3000] Estimate any relative maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Round to three decimal places as needed. Use a comma to separate answers as needed. Type an ordered pair.) O B. There are no relative maxima. Estimate any relative minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. DA Round to three decimal places as needed. Use a comma to separate answers as needed. Type an ordered pair.) B. There are no relative minima. 25. Use your calculator's absolute value feature to graph the following function and determine the relative extrema and intervals over which the function is increasing or decreasing. State any x-values at which the derivative does not exist F(x) = 10* 2 - 2 Choose the correct graph below. Each graph is contained in a window [ - 10,10,1]. OB O c. OD Q Q Q Q Q Identify all the relative minimum points. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The relative minimum point(s) is/are Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no relative minimum points. Identify all the relative maximum points. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The relative maximum point(s) is/are (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There are no relative maximum points Determine where the function is increasing or decreasing. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. The function is decreasing on and the function is increasing on (Simplify your answers. Type your answers using interval notation. Use a comma to separate answers as needed.) B. The function is increasing on The function is never decreasing. (Simplify your answer. Type your answer using interval notation. Use a comma to separate answers as needed.) D C. The function is decreasing on The function is never increasing (Simplify your answer. Type your answer using interval notation. Use a comma to separate answers as needed.) D. The function is never increasing nor decreasing Where does the derivative not exist? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The derivative of the function does not exist for x = [Simplify your answer. Use a comma to separate answers as needed.) O B. There are no x-values for which the derivative of the function does not exist.22. The temperature of a person during a certain illness is given by the following equation, where T is the temperature ("F) at time t, in days. Find the relative extreme points and sketch a graph of the function. T(t) = -0.21 + 1.6t + 98.6, Osts 8 What are the relative extreme points? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair. Use integers or decimals for any numbers in the expression. Use a comma to separate answers as needed.) O A. The relative minimum point(s) is/are O B. The relative maximum point(s) is/are C. The relative minimum point(s) is/are and the relative maximum point(s) is/are Sketch a graph of the function. Choose the correct graph below. OA. OB. DC. D. ATIO 110 110 10 Q 110 Q 23. The data in the following table give a measure of nutrition and the projected life expectancy for various countries. Use the data to answer the following questions. Country Measure of Life Expectancy at Birth (in Country Measure of Nutrition Life Expectancy at Birth (in Nutrition years years) Country 1 091 76 Country 6 1161 78 Country 2 1024 82 Country 7 605 60 Country 3 721 67 Country 8 1090 74 Country 4 1177 82 Country 9 1282 77 Country 5 758 75 Country 10 819 a) Use regression to fit a cubic function y = f(x) to the data in the table, where x is the measure of nutrition and y is life expectancy. Then fit a quartic function and decide which fits best. Choose the correct answer below. O A. Quartic function B. Both functions fit well O C. Cubic function b) What is the domain of the function? Type your answer in interval notation.) c) Does the function have any relative extrema? A. The function may have a relative minimum near x = 1100. O B. The function definitely has a relative maximum near x = 1100. O C. The function may have a relative maximum near x = 1100. O D. The function definitely has a relative minimum near x = 1100. E. The function has no relative extrema