- Part A Knowledge And Understanding 20 Marks For The Graph Below The Concavity Switches At X 1 7 And 0 And There 1 (144.33 KiB) Viewed 27 times
- Part A Knowledge And Understanding 20 Marks For The Graph Below The Concavity Switches At X 1 7 And 0 And There 2 (189.34 KiB) Viewed 27 times
- Part A Knowledge And Understanding 20 Marks For The Graph Below The Concavity Switches At X 1 7 And 0 And There 3 (226.91 KiB) Viewed 27 times
- Part A Knowledge And Understanding 20 Marks For The Graph Below The Concavity Switches At X 1 7 And 0 And There 4 (227.92 KiB) Viewed 27 times
- Part A Knowledge And Understanding 20 Marks For The Graph Below The Concavity Switches At X 1 7 And 0 And There 5 (190.07 KiB) Viewed 27 times
1. Choose the intervals where f'(x) > 0 a) (-00,-2.2) and (2.2,3) c) (-1.7, 1.7) b) (-00,-1.7) and (1.7,3) d) none of these 2. Choose the intervals where f'(x) > 0 a) (-00,-1.7) and (1.7,3) c) (-1.7, 1.7) b) (-0,-1.7) and (0,1.7) d) none of these 3. Which of the following pairs of intervals shows that the product of f'(x) and f(x) > 0? a) (-2.2,-1.7) and (1.7, 2.2) c) (-1.7,0) and (2.2,3) b) (-2.2,-1.7) and ( 2.2,3) d) none of these 4. At the point where x = 2.2 there is a(n) a) Absolute minimum value c) Both a) and b) b) Local minimum value d) none of these 5. At the point where x = -2.2 there is a(n) a) Absolute maximum value b) Local maximum value c) Both a) and b) d) none of these
6. Questions 6 and 7 deal with functions in general. Iff" (a) = 0 at the point P(a, b), then P(a,b) is an inflection point: a) Never b) Sometimes c) Always d) none of these 7. If f'(a) = 0 and f"(a) > 0, then P(a, f(a)) is a maximum: a) Never b) Sometimes c) Always d) none of these For full marks on questions 8 and 9 you must show rough work in the whitespace. 8. The position function of an object is defined as: s(t) = 3+3 - 2 - 86 Find the minimum velocity of the object. a) -12 b) -9 C) 0 d) none of these
9. The height of an object is determined by the function h(t) = -6t2 + 36t What is the acceleration of the object when its velocity is zero? a) -12 b) 12 c) 36 d) none of these 10. Consider the following graphs: Which one is the graph of the curve with x²1 x2+ equation: f(x) = *** 1. Explain at the bottom. [2 marks] А B C Explain why you chose the one you did and why the others are not correct.
17. Two large sound speakers are 80 m apart, but one speaker is 3 times larger and louder than the other speaker. You stand at various places between the speakers and 1 3 S(x) = + is used to optimize sound where x is your distance from the 12 (80-x)2 smaller speaker. Determine S'(x), set it = 0 and solve for x. This will give you the value of x that optimizes S(x). Use FDT to prove whether this x value is a max or a min. Make a clear final statement. [7 marks]