AP Calculus BC Exam Multiple Choice Practice Problems

There are . A 5. C10. D15. B Short explanations are given below for each AP calculus BC exam multiple choice problem. Problem 1 (B) â€Æ' t = 3 First, find the derivative of each component. Then set them both equal to zero and solve. The only t-value that makes both components equal to 0 is t = 3. Problem 2 (A) 2/9 Re-express the sum as a geometric series. Then, because the common ratio has absolute value less than 1, the series converges and you may use the sum of a geometric series formula. Problem 3 (B) Ï€/3 Use the antiderivative formula involving arctan. And dont forget about the infinite limit. Problem (A) 42.96 Integrate acceleration twice to find the position function. After each integration, use the initial data to solve for the constant of integration. Since the given initial velocity is 12, we find C = 18. Now the initial position x0 = 8 implies that C = 6. Thus, the position function is: x(t) = -3 sin 2t + 2 cos 2t + 18t + 6. Plugging in t = 2, using a calculator, we find x(2) = 42.96 seconds. Problem 15 (B) 0.565 A graph of the two curves helps to locate the bounds of integration. The left bound is 0, but the right bound is the x-coordinate of the point of intersection of the two curves. You your calculator to numerically approximate this point, which is roughly 0.4336. Then set up the volume integral using the washer method. Finally, find the volume using the numerical integration function on your calculator. Whats Next? Now that youve gotten some practice with multiple choice questions, check out these AP Calculus BC Exam Free Response Practice Problems. Practice makes perfect!