Barrons AP Calculus - David Bock

(dmanu) #1

  1. If = kx, and if x = 2 when t = 0 and x = 6 when t = 1, then k equals
    (A) ln 4
    (B) 8
    (C) e^3
    (D) 3
    (E) none of these

  2. If y = x^2 ln x (x > 0), then y ′′ is equal to
    (A) 3 + ln x
    (B) 3 + 2 ln x
    (C) 3 ln x
    (D) 3 + 3 ln x
    (E) 2 + x + ln x

  3. A particle moves along the curve given parametrically by x = tan t and y = 2 sin t. At the instant
    when the particle’s speed equals
    (A)
    (B)
    (C)
    (D)
    (E) none of these

  4. Suppose and y = 2 when x = 0. Use Euler’s method with two steps to estimate y at x =

    1. (A) 1
      (B) 2
      (C) 3
      (D) 4
      (E)




Questions 20 and 21. The graph below consists of a quarter-circle and two line segments, and
represents the velocity of an object during a 6-second interval.

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