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

8. According to a study, a vehicle's fuel economy, in miles per gallon (mpg). decreases rapidly for speeds over 65 mph. 30 a) Estimate the speed at which the absolute maximum gasoline mileage is obtained. b) Estimate the speed at which the absolute minimum gasoline mileage is obtained. - 24- c) What is the mileage obtained at 10 mph? Fuel economy Impg 18- a) The speed at which the absolute maximum gasoline mileage is obtained is 12- approximately (1) (Type a whole number.) b) The speed at which the absolute minimum gasoline mileage is obtained is 15 25 35 45 55 05 75 85 95 approximately (2) Speed (mph) [ Type a whole number.) c) The mileage obtained at 10 mph is (3) [Type a whole number.) (1) O mpg. (2) O mph. (3) O mph. O mph O mpg. O mpg. 9. An employee's monthly productivity M, in number of units produced, is found to be a function of the number t of years of service. For a certain product, a productivity function is shown below. Find the maximum productivity and the year in which it is achieved. M(t) = - 3t" + 162t + 160, Osts 40 The maximum productivity is achieved in year The maximum productivity is units. . For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the dosage at which it occurs B(x) = 400x - 4000x , 0s x s 0.10 The maximum is obtained for a dosage of (Round to two decimal places as needed.) The maximum blood pressure obtained is 'Round to two decimal places as needed.) 11. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = 4 + 2x - 2x": [0,3] The absolute maximum value is at x = (Round to two decimal places as needed. Use a comma to separate answers as needed.) The absolute minimum value is at x = (Round to two decimal places as needed. Use a comma to separate answers as needed.) 12. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = x"- 8x - 5; [2,5] The absolute maximum value is at x = (Use a comma to separate answers as needed.) The absolute minimum value is at x = Use a comma to separate answers as needed.)13. Find the absolute maximum and minimum values of each function over the indicated interval, and indicate the x-values at which they occur. f(x) = 3x - 3x"- 3x + 7: [ - 1,0] The absolute maximum value is at x = (Use a comma to separate answers as needed. Type an integer or a fraction.) The absolute minimum value is at x = Use a comma to separate answers as needed. Type an integer or a fraction.) 14. Find the absolute maximum and minimum values of each function over the indicated interval, and indicate the x-values at which they occur. f(x) = 15x4 - 4x , [- 2,2] The absolute maximum value is at x : (Use a comma to separate answers as needed.) The absolute minimum value is at x = Use a comma to separate answers as needed.; 15. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = (x + 5) # - 1; [ - 8,8] The absolute maximum value is at x = (Round to two decimal places as needed. Use a comma to separate answers as needed.) The absolute minimum value is at x = (Round to two decimal places as needed. Use a comma to separate answers as needed.) 16. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = x+ : [1,20] The absolute maximum value is at x = (Use a comma to separate answers as needed.) The absolute minimum value is at x = (Use a comma to separate answers as needed.) 17. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. 5x f(xx) = [-4,4] x2+9 The absolute maximum value is at x = (Round to two decimal places as needed. Use a comma to separate answers as needed.) The absolute minimum value is at x = (Round to two decimal places as needed. Use a comma to separate answers as needed.)19. Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified, use the real numbers, ( - co,co)- f(x ) = Vx; [0,1] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = and the absolute minimum is at x = (Use a comma to separate answers as needed.) B. The absolute maximum is at x = and there is no absolute minimum. (Use a comma to separate answers as needed.) O C. The absolute minimum is at x = and there is no absolute maximum. (Use a comma to separate answers as needed.) O D. There is no absolute maximum and no absolute minimum. 20. Find the absolute maximum and minimum values of the function, and sketch the graph. 7x + 1, for - 1sxs1 f(x) = 9 - x2, for 1xxs2 Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum of the function is at x = O B. This function has no absolute maximum. Find the absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum of the function is at x = O B. This function has no absolute minimum. Sketch the graph of the function. Choose the correct graph below. O A. O B. O c. O D. Q a Q a L