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[DOC File]AP Calculus AB
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This unit prepares the way for calculus by reviewing the basic concepts of functions learned in precalculus. Students are introduced to the four ways of representing a function. The graphing calculator as a tool for approximating values is discussed. A. Representing Functions . 1. Four ways to represent a function . 2. Piecewise Functions. 3.

[DOC File]AP Calculus Free-Response Questions
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d. For the function g defined in part ©, find all values of x, for 0 < x < 4, at which the graph of g has a point of inflection. Justify your answer. 233. A car is traveling on a straight road. For 0 ( t ( 24 seconds, the car’s velocity v(t) , in meters per second, is modeled by the piecewise-linear function defined by the graph above. a. Find .

[DOC File]Financial Math
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Have students graph the piecewise function above with their graphing calculator by entering the following:. The graph of this piecewise function yields . two distinct pieces that are not connected. The pieces of a piecewise function can, However, be connected. For example have students graph the piecewise function:

[DOC File]Advanced Placement Calculus (AB) Rev 4/16/02
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A piecewise function may be used. Set up integral(s), which would determine the volume of the solid form if the region is revolved around the x-axis or y-axis. Use technology to evaluate the definite integral.

[DOC File]AP Calculus AB Syllabus
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To be able to use a graphing calculator to plot a graph of a function within an arbitrary viewing window, find zeros of a function, numerical calculate the derivative of a function, and numerically calculate the value of a definite integral. Course Expectations: To inquire about material and concepts that may not be clear

[DOC File]Functions
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Suppose we have the following definition of a function f: This is called a piecewise definition. You read it as follows: f(x) = x2 + 5 if x is greater than 2 or equal to 2. f(x) = 4x + 1 if x is less than 2. It is still a function, just not quite as simply defined by a single equation.

[DOC File]Railway: TE, acceleration, and braking
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Generally, the gradient is a piecewise-constant function of distance along the track – an example is shown in Figure 5, which refers to part of the UK West-Coast main line [2]. To deal with this, the analysis for both braking and acceleration calculations can be further segmented, with transitions between segments corresponding to instants ...

[DOC File]Ictcm handout - University of Tennessee
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function integral. 10. solves for any variable in an equation. ... The screen shows another way to enter f(x) into the calculator. Evaluating a Function. To evaluate a piecewise-defined function for a specific value of x, enter the following into the calculator. Press ~

[DOC File]Name:
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Without a calculator graph each function then: a) Label all intercepts and asymptotes. ... Write a piecewise formula for the function. ... Objective: At the end of the lesson you should be able to use the geometric interpretation of the definite integral to evaluate certain integrals. Key vocabulary and ideas: Practice problem:

[DOC File]AP Calculus Free-Response Questions
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d. Use the function P defined in part c to find the average value, in degrees Celsius, of P(t) over the time . interval 0 < t < 15 days. 207. A car traveling on a straight road with velocity 55 ft/sec at time t = 0. For 0 < t < 18 seconds, the car’s . acceleration a(t), in ft/sec2, is the piecewise linear function defined by the graph above. a.

[DOC File]AP Calculus (BC) Summer Assignment
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3) Graph the function shown below. Also indicate any key points and state the domain and range. 4) Write a piecewise formula for the function shown. Include the domain of each piece! 5) Graph the function and indicate asymptote(s). State its domain, range, and intercepts. For #6-7, parametric equations are given.

[DOC File]Calculus 2002 AB – Solution #6
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Actually here, since we’re working with a definite integral, we don’t have to worry about C. (b) Using the point-slope equation of a line, , and point (1,-4) all we need to do is calculate the slope. so we get . Hmm, not done yet! We will use this line function to get an estimate for f(1.2). So since y = 5(1.2 – 1) – 4 = 1 – 4 = -3

[DOC File]Tips for Beginners for the TI 89 Calculator
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piecewise defined graph, e.g. , inside Y= key . y1 = when(x > 1, x, else x^2) when(is in CATALOG. If the graph has more than 2 pieces, e.g. , you can use nested when functions or a user-defined function, see p. 194-95. Unfortunately the logic of nested when functions is hard to follow, especially since you have to read it inside the tiny entry ...

Integral of piecewise function calculator