calculuspracticetest

calculuspracticetest - Calculus Practice Test Name Period...

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Calculus Practice Test Directions : Solve the following problems. Show all your work. 1. Below are the graphs of three functions, f, g, and h. Explain why f(x) and g(x) have limits as x approaches 7, but h(x) does not have a limit. 2. A concept of calculus is the definite integral, which is a means of finding the product of x and y in a function where y varies. Definite integrals can be calculated graphically. The following graph shows the velocity v(t), in feet per second, of a moving object. (a)Find an estimate of the definite integral of v(t) with respect to t from t = 10 to t = 30 seconds. (b)What is the physical meaning of the answer in part a? 3. A concept of calculus is the derivative, which is an instantaneous rate of change. For the graph above, at t = 20 seconds, approximately what is the instantaneous rate of change of velocity? Is the velocity increasing or decreasing? Explain. Name_______________ Period_______
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4. Derivatives and definite integrals can be estimated from tables of data. The
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