Chapter 2 - MDC Faculty Home Pages

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98) Given the revenue and cost functions R = 30x - 0.3x2 and C = 3x + 13, where x is the daily production, find the rate of change of profit with respect to time when x = 10 units and dx = 8 units per day. dt A) $168 per day B) $192 per day C) $211.2 per day D) $210 per day 99) A heart attack victim is given a blood vessel dilator to increase the radii of the blood vessels. After receiving the dilator, the radii of the affected blood vessels increase at about 2% per minute. According to Poiseulle's law, the volume of blood flowing through a vessel and the radius of the vessel are related by the formula V = kr4 where k is a constant. What will be the percentage rate of increase in the blood flow after the dilator is given? A) 8%/min B) 6%/min C) 12%/min D) 10%/min 100) A zoom lens in a camera makes a rectangular image on the film that is 8 cm length x 5 cm width. As the lens zooms in and out, the size of the image changes. Find the rate at which the area of the image begins to change (dA/df) if the length of the frame changes at 0.5 cm/s and the width of the frame changes at 0.1 cm/s. A) 3.3 cm2/s B) 8 5 cm2/2 C) 0.66 cm2/s D) 4.5 cm2/s 28 PDF Created with deskPDF PDF Writer - Trial :: http://www.docudesk.com 98) 99) 100)
Answer Key Testname: MAC2233-GA-CHP2 1) Relative minimum at (2, 3) 2) Relative maximum at - 3 79 41 , ; relative minimum at 3, - 2 8 2 3) Relative minimum at (0, 32) 4) Relative minimum at (-5, 3) 5) B 6) D 7) B 8) C 9) 10) 11) 12) B 13) C 14) C 12 8 4 y -6 -4 -2 2 4 6 -4 -8 -12 8 4 y -5 -4 -3 -2 -1 1 2 3 4 5 6 4 2 -4 -8 y -5 5 -2 -4 -6 x x x 29 PDF Created with deskPDF PDF Writer - Trial :: http://www.docudesk.com
Page 1 and 2: MAC 2233 Group Activity/Review #2-C
Page 3 and 4: 7) 8) A) None B) Relative minimum o
Page 5 and 6: 14) f(x) = x2 + x A) 2x3/2 - 1 x3/2
Page 7 and 8: 20) f(x) = 2x3 + 3x2 - 12x - 2 A) R
Page 9 and 10: Determine where the given function
Page 11 and 12: Suppose that the function with the
Page 13 and 14: MULTIPLE CHOICE. Choose the one alt
Page 15 and 16: (x - 3)(2x + 5) 57) x-intercepts of
Page 17 and 18: Find the absolute maximum and absol
Page 19 and 20: Find the absolute maximum and absol
Page 21 and 22: 74) P(x) = -x3 + 27 2 x2 - 60x + 10
Page 23 and 24: 79) Find the maximum profit given t
Page 25 and 26: 85) A company finds that when it sp
Page 27: 94) 9x3 - x2y3 = 7 A) 27x2 - 2xy2 x
Page 31 and 32: Answer Key Testname: MAC2233-GA-CHP

Chapter 2 - MDC Faculty Home Pages

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