Cracking The Ap Calculus ab Exam 2018

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 ...

5.Consider the curve given by x^3 y^2 − 5x + y = 3. (a)Find . (b)Find . (c)Find the equation of the norma ...

Practice Test 4: Answers and Explanations ...

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

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

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ANSWERS AND EXPLANATIONS TO SECTION I C Use the double angle formula for sine, sin 2θ = 2 sin θ cos θ to ...

sin^2 = . Next, we find m by taking the derivative, and then plugging in x = . We get: = ...

There is no need to simplify, just plug in the point (2, 1): B Start by plugging (0, 2) into y = ...

Step 2: = 4 tan−1(x) = 4 tan−1(−1) = 4 − 4 = 2π. A Use u-substitution. Here, u = x^3 ...

Step 2: (x − 1)^2 dx = (x^2 − 2x + 1) dx B Since you are not told which method to use to find the ...

(2, 0): = 6x − 6, which is 6 at (2, 0). Since this is the slope of the tangent line, and the slope ...

2 x − 2x − 2y +6y = 0 − 2x + 6y = 2y − 2x Factor out the , and then isolate it. (6y − 2x) ...

D Rolle’s Theorem states that if y = f(x) is continuous on the interval [a, b], and is differentiable ever ...

. B The formula for the area under a curve using right-endpoint rectangles is: A = (y 1 + y 2 + y 3 ...

C First, rewrite 2x + y = k in slope-intercept form: y = −2x + k; thus, the slope of the tangent, ...

0 < t < + − < t < − − < t < 3 − + t > 3 + + Since the velocity and a ...

curves cross the x-axis because multiple integrals will be required if this happens. In this case, th ...

and set it equal to −5: = 2ax + b and = 2 (a)(0) + b = −5. Therefore, b = −5. Finally, solv ...