Derivatives problems and answers
[DOC File]AP Calculus Free-Response Questions
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The derivatives of these functions are given by. x’(t) = 10 + 4 cos t. y’(t) = (20 – t)sin t + cos t – 1. a. Find the slope of the path at time t = 2. Show the computations that lead to your answer. b. Find the acceleration vector of the car at the time when the car’s horizontal position is x = 140.
[DOC File]Calculus 1401: Exam 2
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Calculus 1501: Practice Exam 1. 1. State the following definitions or theorems: a) Definition of a function f(x) having a limit L. b) Definition of a function f(x) being continuous at x = c
[DOC File]Inverse Functions
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In problems #4-6, use the horizontal line test to determine if the following functions have inverses. In problems #7-8, use the functions and to find the specified functions. In problems #9-10, show that is monotonic (invertable) on the given interval (and therefore has an inverse). Review Answers…
[DOC File]Indefinite Integrals Calculus
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In problems #4–7, solve the differential equation for given the initial condition. and . and . and . and . Suppose the graph of f includes the point (-2, 4) and that the slope of the tangent line to f at x is -2x+4. Find f(5). In problems #9–10, find the function that satisfies the given conditions. with and . with and . Review Answers;
[DOC File]Answers to Questions in Chapter 11 Derivative Instruments
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An investor may choose to purchase a derivative rather than the underlying asset, because in many cases derivatives are less expensive. Commissions and required investments (margin requirements) for derivatives are generally lower than in the corresponding cash market. Problems. 4 (a) One July corn contract = 5,000 bu. x $2.4625 per bu.= $12,312.5
[DOC File]Exponential and Logarithmic Derivatives Worksheet
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For problems 14-28, find the derivative of the given function Title: Exponential and Logarithmic Derivatives Worksheet Created Date: 3/2/2007 3:25:00 PM Other titles: Exponential and Logarithmic Derivatives Worksheet ...
[DOC File]Derivatives of trigonometric functions
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Find the derivative. 2. 4. 6. Find the equation of the tangent line to at .. 10. 12. 14. 16. 18.
[DOC File]Calculus Basic Skills Pre-Test
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Show all your work for problems in this section. Justify answers with full sentences. Use complete and correct notation on each and every item you work. 1. Consider the profit function, given by . a. Determine the critical points (values) of . Create and complete a sign chart for . b. Determine all intervals of increasing and decreasing for .
[DOC File]AP Calculus Assignments: Derivative Techniques
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15. Review the graphs of and and then use nDeriv on your calculator to graph the derivatives of those functions. From the graphs, determine the derivatives of and . 16. A problem on a long-ago homework assignment said: Estimate the value of the following limits. Then put the answers in your brain. a. b. Retrieve those answers from your brain.
[DOC File]AP CALCULUS AB
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Answers: 1 1 . 0 0 . 2 . 4 1 . 0 AP CALCULUS AB. LIMIT WORKSHEET #3. Find the indicated limit. where ; (Graphically) Find the interval for which the function is continuous. Find the discontinuities (if any) for the given function. State whether they are Removable, Nonremovable Jump or Nonremovable Infinite. Use your TI-83/84 to verify your ...
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