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# Limits in AP Calculus: Homework Help Resource Chapter Exam

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Page 3 Question 11 Which of the following is true? How do you write the limit of the function g k as the variable k approaches the constant C? Using the given data, solve for z.

Page 4 Question 16 Use the given graph and formula to solve for z. Page 5 Question 21 If g k is continuous everywhere, then which of the following is true? Page 6 Question 26 The limit of sin x as x approaches a value will always be: Previous Page Next Page. Limits in AP Calculus: Create an account today. Browse Browse by subject. Email us if you want to cancel for any reason. Start your FREE trial. What best describes you? Choose one Student Teacher Parent Tutor. Your goal is required.

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Password confirm must be at least 8 characters long. Password confirm may only be 56 characters long. Password confirm does not match password. Unlimited access to all video lessons Lesson Transcripts Tech support. See all other plans. First Name Name is required. If yes, divide and integrate. If no, proceed to 2. If the quotient is rewritten as a product, is the exponent -1? Evaulate function at endpoints: Continue the interval table by: The critical value for which f x is increasing to the left and decreasing to the right is a relative max.

Determine the relative extrema using the Second Derivative Test: Be sure to consider the limit approaching both positive infinity and negative infinity. How to Do Optimization Problems: Identify the unknown variables; add to diagram or table. Write an equation to relate the given and the to find.

Reduce the number of variables to 2. Find the derivative and Critical Numbers. Test the critical numbers for max or min, using 1st derivative or 2nd derivative test, and state solution.

Is "to find" found? Does solution make sense? Using the Limit Definition to Find Area: Sketch the function f and indicate the region on the interval [a,b]. Is f continuous and nonnegative on the interval? Substitute c i for x in the function and proceed with the sums, using Summation Formulas, Theorum 4. Evaluate the limits at infinity. Find the points of intersection of the curves. If the curves are close and orientation is difficult to determine, substitute values between those of the points of intersection to determine which is above or to the right of the other.

Use the sketch to determine which integral to use: If each curve passes the vertical line test in the bounded region, use vertical rectangles, the x variable, and the integral:

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