Section 2.6: (page 120) Numbers 4, 5, 7-9 all, 16, 17 Section 2.7: (page 133) Numbers 3-6 all, 9-12 all Section 2.8: (page 140) Numbers 10-12 all

textbrokercom X 4." Final Exam X 6 1 Canvas LMS X e MATH140-12141(ONL X 6 BusCalc.pdf X * Course Hero X 7 7 C 0 A NotSecure opentextbookstoreroom/buscaIc/BusCalcvpdf it '1'! * El 0 Suggested Sites ' Gmail > YouTube Disney+ canvas 6 find cards saved on. BusCalc.pdf 120 /272 100% 2.6 Exercises In problems 1 and 2, each quotation is a statement about a quantity of something changing over time. Let f(t) represent the quantity at time t. For each quotation, tell what f represents and whether the rst and second derivatives of f are positive or negative 1. (a) "Unemployment rose again, but the rate of increase is smaller than last month" (b) "Our prots declined again, but at a slower rate than last month" (c) "The population is still rising and at a faster rate than last yeart" (a) "The child's temperature is still rising, but slower than it was a few hours ago." 0)) "The number of whales is decreasing, but at a slower rate than last yeari" (c) "The number of people with the u is rising and at a faster rate than last month." On which intervals is the function in the graph (a) concave up? (b) concave down? On which intervals is the function in graph (a) concave up? (b) concave down? textbroker.com X Final Exam X X Canvas LMS X MATH140-12141 (ONL) X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks BusCalc.pdf 121 / 272 100% 117 Chapter 2 The Derivative Business Calculus 121 6. Sketch the graphs of functions which are defined and concave up everywhere and which have (a) no roots. (b) exactly 1 root. (c) exactly 2 roots. (d) exactly 3 roots. In problems 7 - 10, a function and values of x so that f'(x) = 0 are given. Use the Second Derivative Test to determine whether each point (x, f(x)) is a local maximum, a local minimum or 118 neither 7. f(x) = 2x3 - 15x2 + 6, x=0, 5. 8. g(x) = x3 - 3x2 - 9x + 7, x=-1, 3. 9 . h (x ) = x4 - 8x2 - 2 , x=-2, 0, 2 . 10. f(x) = x.In(x), x=1/e. 119 11. Which of the labeled points in the graph are inflection points? 12. Which of the labeled points in the graph are inflection points? 120 13. How many inflection points can a (a) quadratic polynomial have? (b) cubic polynomial have? (c) polynomial of degree n have? "0" fotextbroker.com X Final Exam X X Canvas LMS X MATH140-12141 (ONL) X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas ) find cards saved o... Other Bookmarks BusCalc.pdf 122 / 272 100% 118 Chapter 2 The Derivative Business Calculus 122 119 15. Fill in the table with "+", "-", or "0" for the function shown. g ( x) g'( x ) g " ( x ) W N - O / AU In problems 16 -22 , find the derivative and second derivative of each function. 120 16. f(x) = 7x2 + 5x - 3 17. f(x) = (2x - 8)5 18. f(x) = (6x - x2) 10 19. f(x) = x . (3x + 7)5 20. f(x ) = (2x3 + 3)6 21. f(x) = Vx2 + 6x- 1 22 . f (x ) = In (x2 + 4 ) 121 122textbroker.com X Final Exam X X Canvas LMS X MATH140-12141 (ONL) X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks BusCalc.pdf 133 / 272 100% + 2.7 Exercises 1. Find all of the critical points of the function shown and identify them as local max, local min, or 130 neither. Find the global max and min on the interval. 2. Find all of the critical points of the function shown and identify them as local max, local min, or neither. Find the global max and min on the interval. 131 In problems 3 -8, find all of the critical points and local maximums and minimums of each function. 3. f (x) = x2 +8x+7 4. f(x) =2x2 - 12x + 7 AV 5. f (x) = x3 - 6x2 +5 6. f(x) = (x - 1)2 (x- 3) 7. f(x) = In( x2 - 6x + 11 ) 8. f(x) = 2x3 - 96x + 42 In problems 9-16, find all critical points and global extremes of each function on the given intervals. 132 9. f(x) = x2 - 6x + 5 on the entire real number line. 10. f(x) = 2 - x' on the entire real number line. 11. f(x) = x' - 3x + 5 on the entire real number line. 12. f(x)= x -e* on the entire real number line. 13. f(x) = x2 - 6x +5 on [-2, 5] . 14. f(x) = 2 -x on [-2, 1]. 15. f(x) = x3 - 3x +5 on [-2, 1] . 16. f(x) = x -e* on [ 1, 2] . 133textbroker.com X Final Exam X X Canvas LMS X MATH140-12141 (ONL) X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas ) find cards saved o... Other Bookmarks E BusCalc.pdf 141 / 272 - 100% + height (feet) 200- 200 200- 100- 100- 100- 10 6. time (minutes) 6. time (minutes) 7 time (minutes) Functions f Derivatives f' 139 8. In the graphs to the right, match the graphs of the functions with those of their derivatives 9. In the graphs below, match the graphs showing the heights of rockets with those showing their velocities. Height 140 IT . P . D.S . D. KA 141 In problems 10 - 14 , use information from the derivatives of each function to help you graph the function. Find all local maximums and minimums of each function. 10. f(x) = x3 - 3x2 -9x -5 11. g(x) = 2x3 - 15x2+6 12. h(x) =x4 -8x2+3 13. r(t) = 2 x - + 3 2 + 1 14. f( x ) = 142