Barrons AP Calculus - David Bock

(dmanu) #1

  1. Which of the following equations can be a solution of the differential equation whose slope
    field is shown above?
    (A) 2 xy = 1
    (B) 2 x + y = 1
    (C) 2 x^2 + y^2 = 1
    (D) 2 x^2 − y^2 = 1
    (E) y = 2x^2 + 1

  2. If y is a differentiable function of x, then the slope of the curve of xy^2 − 2y + 4y^3 = 6 at the point
    where y = 1 is
    (A)
    (B)
    (C)
    (D)
    (E) 2

  3. In the following, L(n), R(n), M(n), and T(n) denote, respectively, left, right, midpoint, and
    trapezoidal sums with n subdivisions. Which of the following is not equal exactly to
    (A) L(2)
    (B) M(2)
    (C) T(3)
    (D) M(4)
    (E) R(6)

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