AP Calculus AB/BC #3

Are you ready? This little quiz will cover all the concepts up till the middle of Unit 5! Note: Solve these without a calculator. These are also pretty easy. Make sure to enter all answers as decimals rounded to the nearest hundredth. Enjoy!

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Last updated: September 25, 2024

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First submitted	March 7, 2024
Times taken	52
Average score	40.0%
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Hint

Answer

What is the relative maximum x-value for all numbers on the function y = 4x^3+4x^2?

-0.67

What is the area under the function 4x^3 from x= 0 to x= 3?

What is the limit as x approaches 2? Use L'Hopital's rule. Function: (x^26)/(x^2-3x+2)

What is the limit as x approaches 5? Use factorization. Function: (x^2-6x+5)/(x^2-8x+15)

If you want to approximate the area under a graph on the interval [-5,5] in 20 rectangles, what would delta x be equal to?

0.5

You are given the horizontal asymptote, the vertical asymptote, and the maximums and minimums of a function. Is this enough information to sketch the graph of the function? Yes Or No?

You are given the maximums and minimums, the points of inflection, the increase and decrease intervals, the concavity intervals, the asymptotes, and the x and y intercepts of a function. Is this enough to sketch the graph of the function? Yes Or No?

Yes

You are tasked to find the limit of the function x^7/(x-6) at the x value 6. Does the limit exist in this situation? Yes Or No?

What rule is used to compute the exact area under a function?

Fundamental Theorem Of Calculus I/FTC I

What rule is used to differentiate the following function: x^200

Power Rule

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