Free response questions 14 in the gure to the right a

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Unformatted text preview: . t = 2 III. t = π . (A) I only (B) II only (C) I and III only (D) I and II only (E) I, II, and III Continue to the next page Part IV. Free-Response Questions 14. In the ﬁgure to the right, a line is given tangent to the 1 graph of y = 2 at point the P , whose coordinates are x 1 w, 2 , where w > 0. Point Q has coordinates (w, 0). w This line crosses the x-axis at the point R, with coordinates (k, 0). (a) (5 points) For all w > 0, ﬁnd k in terms of w. y . Q y=1/x 2 P . R . x (b) (5 points) Suppose that w is increasing at the constant rate of 7 units per second. When w = 5, what is the rate of change of k with respect to time? (c) (5 points) Suppose that w is increasing at the constant rate of 7 units per second. When w = 5, what is the rate of change of the area of P QR with respect to time? Determine whether the area is increasing or decreasing at this instant. 15. (10 points) Two particles leave the origin at the same time and move along the y -axis with their respective positions determined by the functions y1 = cos 2t and y2 = 4 sin t. For which values of t, 0 ≤ t ≤ 2π do these particles have the same acceleration? End of test...
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This note was uploaded on 12/01/2009 for the course BIO 071265836 taught by Professor Solana during the Spring '09 term at Air Force Institute of Technology, Ohio.

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