Cracking The Ap Calculus ab Exam 2018

CALCULUS AB SECTION I, Part B Time—45 Minutes Number of questions—15 A GRAPHING CALCULATOR IS REQUIRED FOR SOME ...

33.Find the value(s) of of x^2 y + y^2 = 5 at y = 1. (A)− only (B) only (C)± (D)± 34.The graph ...

37.A sphere is increasing in volume at the rate of 20 . At what rate is the radius of the sphere incre ...

(D)148.413 41.∫ sin^4 (πx)cos(πx)dx = (A) + C (B) + C (C) + C (D) + C 42.The volume of a cube is in ...

45.If f(x) is continuous and differentiable and f(x) = , then b = (A) 0 (B) 2 (C) 6 (D)There is no valu ...

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

(a)Find the area of region R. (b)Find the volume of the solid generated when R is revolved about the x-axi ...

Practice Test 2: Answers and Explanations ...

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

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

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ANSWERS AND EXPLANATIONS TO SECTION I B First, take the derivative. g′(x) = (4x^3 ) − 5(2x) = − 10x ...

C There are two ways we could evaluate this limit. First, we could recognize that this limit is in ...

Notice that it crosses the x-axis at x = −2 and at x = 4. The formula for the area of the region under t ...

D The Mean Value Theorem for Derivatives says that, given a function f(x), which is continuous and dif ...

B We can use Implicit Differentiation to find . First, differentiate with respect to x: 3 y^2 = x ...

If we multiply through by 8, we get 8y + 8 = 9x − 18 or 9x − 8y − 26 = 0. D Acceleration is the ...

Rather than simplifying this, simply plug in (0, 1) to find . We get = 1. This means that the slo ...