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i had some trouble with these questions Section 2.6: (page 120) Numbers 4, 5, 7-9 all, 16, 17 Section 2.7: (page 133) Numbers 3-6 all,
i had some trouble with these questions
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
textbrokercom X '9 Final Exam X Canvas LMS X . Untitled documen X e BusCalc.pdf X '9 MATH140-1214'H X e: Dashboard X v): Dashboard X + v ~> C' 0 A NotSecure opentextbookstorecom/buscaIc/BusCalc.pdf Q i) '1} * El 0- Suggesled Sites ' Gmail > YouTube Disney+ canvas 9 find cards saved 0... B Other Bookmarks BusCale.pdf 120 /272 147% + El 03 1 a. 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." 03) "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 year." 2. (a) "The child's temperature is still rising, but slower than it was a few hours ago." (b) "The number of Whales is decreasing, but at a slower rate than last year." (c) "The number of people with the u is rising and at a faster rate than last month." 4. On which intervals is the function in the graph (a) concave up? (b) concave down? 5. On which intervals is the function in graph (a) concave up? (b) concave down? textbroker.com X Final Exam X Canvas LMS X Untitled document X BusCalc.pdf X - MATH140-12141 (0 X Dashboard X *Dashboard X - CD 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 121 / 272 137% Chapter 2 The Derivative Business Calculus 121 6. Sketch the graphs of functions which are defined and concave up everywhere and which have 120 (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 neither 7. f(x) = 2x3 - 15x2+ 6, x=0, 5. 121 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 . 122 11. Which of the labeled points in the graph are inflection points? 123 Whichtextbroker.com X - Final Exam X Canvas LMS X Untitled document X BusCalc.pdf X MATH140-12141 (0 X * Dashboard X *Dashboard X - CD 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 122 / 272 - 137% Chapter 2 The Derivative Business Calculus 122 15. Fill in the table with "+", "-", or "0" for the function shown. 120 g ( x ) g '( x ) g " ( x ) W N - O X 121 In problems 16-22 , find the derivative and second derivative of each function. 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- 1 122 22. f(x) = In(x2 +4) 123textbroker.com X Final Exam X Canvas LMS X Untitled document X BusCalc.pdf X MATH140-12141 (0 X Dashboard X *Dashboard 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 / 272 137% + interval. 2. Find all of the critical points of the function shown and identify them as local max, local min, 131 or neither. Find the global max and min on the interval. AV In problems 3 -8, find all of the critical points and local maximums and minimums of each function. 132 3. f(x) = x2 + 8x+7 4. f(x) = 2x2 - 12x + 7 5. f(x) =x3 - 6x2+5 6. f(x) = (x-1)2 (x-3) 7. f(x) = In( x2 - 6x + 11 ) 8. f(x) = 2x5- 96x + 42 In problems 9-16, find all critical points and global extremes of each function on the given intervals. 33 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) = x3 - 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] . 134 16. f(x)= x-e* on [ 1, 2]Step by Step Solution
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