Barrons AP Calculus

1. 2. (b) (c) Part A See solution for AB/BC 1. (a) Position is the antiderivative of : To find c, substitute ...

3. (b) (c) 4. Part B (a) By the Ratio Test, the series converges when Thus, the radius of convergence is 2. is ...

5. 6. See solution for AB/BC 5. See solution for AB/BC 6. BC Practice Examination 3 The explanations for ...

3. 5. 6. 8. Part A (A) The series is geometric with a = and r = ; it converges to (C) is the ...

NOTE: We can rewrite comparing to we see that the numerator and denominator therefore ...

(D) using long division, (B) Using parts we let u = x^2 , dv = exdx; then du = 2x dx, ...

(D) (A) The required area is lined in the figure below. Intersections: ; Let r 1 = 3 sin θ an ...

(C) The table indicates both positive and negative values for f ′′(x). f ′′(x) for a linear functio ...

31. 34. Part B (B) Expressed parametrically, x = sin 3θ cos θ, y = sin 3θ sin θ. is undefined where s ...

A calculator yields k = 8. (C) It is given that a(t) = sin t, e−t. Use a calculator to find ...

40. 41. 42. (A) Total distance is (A) Arc length is given by dx. Here the integrand implies th ...

1. (a) (b) (c) Part A The following table shows x- and y-components of acceleration, velocity, and position: The l ...

See solution for AB/BC 2. ...

3. 4. 5. (b) (c) Part B See solution for AB/BC 3. See solution for AB/BC 4. (a) The table below is construc ...

(b) (c) (d) (a) At (−1,8), so the tangent line is y − 8 = 5(x − (−1)). Therefore f (x) ≈ 8 + 5 ...