Barrons AP Calculus - David Bock

(dmanu) #1
particle is decreasing when
(A) − 1 < t < 1
(B) − 1 < t < 0
(C) t < 0
(D) t > 0
(E) |t| > 1


  1. A rectangle with one side on the x-axis is inscribed in the triangle formed by the lines y = x, y
    = 0, and 2x + y = 12. The area of the largest such rectangle is
    (A) 6
    (B) 3
    (C)
    (D) 5
    (E) 7


CHALLENGE



  1. The x-value of the first-quadrant point that is on the curve of x^2 − y^2 = 1 and closest to the
    point (3, 0) is
    (A) 1
    (B)
    (C) 2
    (D) 3
    (E) none of these

  2. If y = ln(4x + 1), then is
    (A)
    (B)
    (C)
    (D)
    (E)

  3. The region bounded by the parabolas y = x^2 and y = 6x − x^2 is rotated about the x-axis so that a

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