Barrons AP Calculus - David Bock

(A)

(B) y ′ = ln x

(C) y ′ = ex

(D) y ′ = y

(E) y ′ = −y^2

41. If we substitute x = tan θ, which of the following is equivalent to
    (A)
    (B)
    (C)
    (D)
    (E)


42. If x = 2 sin u and y = cos 2u, then a single equation in x and y is
    (A) x^2 + y^2 = 1
    (B) x^2 + 4y^2 = 4
    (C) x^2 + 2y = 2
    (D) x^2 + y^2 = 4
    (E) x^2 − 2y = 2

BC ONLY

43. The area bounded by the lemniscate with polar equation r^2 = 2 cos 2θ is equal to
    (A) 4
    (B) 1
    (C)
    (D) 2
    (E) none of these


44. 
    

    (A) 0
    (B)
    (C) π