Barrons AP Calculus - David Bock

(C)

(D)

(E)

12. A smooth curve with equation y = f (x) is such that its slope at each x equals x^2. If the curve
    goes through the point (−1, 2), then its equation is
    (A)
    (B) x^3 − 3y + 7 = 0
    (C) y = x^3 + 3
    (D) y − 3x^3 − 5 = 0
    (E) none of these


13. is equal to

(A) ln(1 + e^2 u) + C

(B)

(C)

(D) tan−1eu + C

(E)

14. Given f (x) = log 10 x and log 10 (102) 2.0086, which is closest to f ′(100)?

(A) 0.0043

(B) 0.0086

(C) 0.01

(D) 1.0043

(E) 2

15. If G(2) = 5 and then an estimate of G(2.2) using a tangent-line approximation is

(A) 5.4

(B) 5.5

(C) 5.8

(D) 8.8

(E) 13.8