Cracking The Ap Calculus ab Exam 2018

(C)19.972 (D)27.879 38.The second derivative of a function f is given by f′′(x) = x sin x − 2. How many ...

41.Which of the following is an equation of the line tangent to the graph of y = x^3 + x^2 at ...

(D)0.693 STOP END OF PART B, SECTION I IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON ...

Section II SECTION II GENERAL INSTRUCTIONS You may wish to look over the problems before starting to work o ...

your problem, namely the equation, function, or integral you are using. If you use other built-in features ...

SECTION II, PART B Time—1 hour Number of problems—4 No calculator is allowed for these problems. During the timed ...

(c)Find the positive difference between the total distance that A traveled and the total distance that B ...

END OF EXAM ...

Practice Test 3: Answers and Explanations ...

ANSWER KEY Section I 1.B 2.D 3.B 4.A 5.B 6.A 7.C 8.C 9.A 10.C 11.C 12.A 13.B 14.A 15.D 16.D 17.C 18.B 19.D 20.A 21.B 22.A 23.D ...

35.A 36.B 37.C 38.C 39.D 40.B 41.C 42.C 43.C 44.D 45.B ...

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ANSWERS AND EXPLANATIONS TO SECTION I 1. B First, take the antiderivative: ∫ cos(2t) dt = sin(2t). Next, plug ...

isolate . But because we are asked to solve for at a specific value of x, we don’t need to simplify. ...

The area is (3)(2) = 3. Thus, the value of the integral is 7 − 3 = 4. A If we take the limit as ...

Given f(x) = , then f′(x) = Here we have f′(t) = . Next plug in t = −1 and solve. 9. A Y ...

C The derivative of tan(u) = sec^2 . Here we need to use the Chain Rule. tan^2 (4(x) = 2[tan (4(x)][s ...

A A graph is concave down where the second derivative is negative. First, we find the first and second deri ...

graph of f′(x) that is positive from x = 2 to x = ∞. The graph in (D) satisfies all of these re ...

that the average value of f(x) on the interval [a, b] is f(x)dx. Here we have sec^2 x dx. Next, rec ...