Cracking The Ap Calculus ab Exam 2018

= −∞ and The curve has a vertical asymptote at x = −2. If we take = 3 and = 3, the curve ...

Now it’s time to practice some problems. Do each problem, covering the answer first, then check ...

3 x^2 − 18x + 24 = 0 3(x ² − 6x + 8) = 0 3(x − 4)(x − 2) = 0 x = 2, 4 Plug x = 2 and ...

PROBLEM 2. Sketch the graph of y = 8x^2 − 16x^4 . Plot all extrema, points of inflection, and asymptotes. ...

When x = 0, y = 0 When x = , y = 1 When x = − , y = 1 Thus, there are critical points ...

PROBLEM 3. Sketch the graph of y = . Plot all extrema, points of inflection, and asymptotes. Answer: This ...

The derivative is zero when x = 4, and the derivative is undefined at x = −3. (There’s an asymptote ...

Answer: By inspection, the x-intercept is at x = 4. Next, find the y-intercepts. When x = 0, y = ≈ ...

PRACTICE PROBLEM SET 11 It’s time for you to try some of these on your own. Sketch each of the graph ...

Chapter 10 Motion ...

This chapter deals with two different types of word problems that involve motion: related rates and the ...

is 4 inches. As the circle gets bigger and bigger, the radius will expand at a slower and slower rate. Exampl ...

= Example 3: A spherical balloon is expanding at a rate of 60π in.^3 /sec. How fast is the surface area of ...

when the water is 12 feet deep? This “cone” problem is also typical. The key point to getting these ri ...

= 2πr Now, plug in = 16π and r = 2. 16 π = 2π(2) When you solve for , you’ll get = 4 ...

sec^2 θ We know that = 5,400 miles per hour, but the problem asks for time in seconds, so we need ...

8.The minute hand of a clock is 6 inches long. Starting from noon, how fast is the area of the ...

See the negative velocity? The sign of the velocity is important because it indicates the direction of the ...

a(t) = v′(t) = 6t − 24 So the acceleration will be negative when t < 4, and positive when ...

This is the distance that the particle traveled. Example 5: Given the position function x(t) = t^4 ...