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[DOC File]M CC 160 Calculus for Physical Scientists I
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Use the window suggested by the graph in I.1. (The graph on the calculator screen will be compressed vertically.) Check your algebraic work above by graphing the three tangent lines you found and verifying that these lines appear to be the correct tangent lines and intersect the x-axis at the points you calculated as x1, x2, and x3.
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[DOC File]Equations and Graphs
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Give an example of a function that has two different horizontal tangent lines. Consider the function Generate the graph of using your calculator. Approximate the slope of the tangent line to the graph at the point Use the following set of x values to generate the sequence of secant line slopes.
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[DOC File]AP Calculus AB Syllabus
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Equations of lines. Functions and Graphs. Functions. Domains and ranges. Viewing and interpreting graphs. ... Rates of Change and Tangent Lines. Average rates of change. Tangent to a curve. Slope of a curve. Normal to a curve. Speed revisited. ... The use of the calculator may be at times the only way to solve problems (graphical approach), but ...
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[DOC File]AP® Calculus AB
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Then the graphing calculator TI-89 program tanimate is used to display an animated sequence of tangent lines for several functions. The program also plots points representing the slopes of those tangent lines. By using this graphing calculator program, the students can verify the validity of the conjectures they wrote concerning the ...
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GRAPHING POLAR EQUATIONS
TANGENT LINES AT THE POLE. Sometimes it is necessary (or helpful) to find tangent lines at the pole: If , then the line is tangent at the pole to the graph of . Example 2: Find the area of the region lying inside the . inner loop. of the limaçon . Use the following steps: (i) Graph using Maple. (ii) Set up the integration for the area. Use . exact
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[DOC File]Tips for Beginners for the TI 89 Calculator
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Minima, Maxima, Inflection Points, Tangent Lines & Arc Length 17. Convergence of a Sequence 17. Taylor Series Approximations 17. Riemann Sums 18. Differential Equations 18. Implicit differentiation 18 Operating System. Just as your PC can be upgraded to WinXP, your TI-89 can be upgraded to OS 3.10. In both cases overall you get a better experience.
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[DOC File]EXTRA CREDIT: +5 points
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More Derivative and Tangent Line Problems. NO CALCULATOR!!! 1. The graph of the equation has a slope equal to 5 at exactly two points. Find the coordinates of the points. 2. Find the value of c , where the line l tangent to the graph of at ( 0 , 1 ) intersects the x-axis. 3. Find the equations of all lines through the origin tangent to the ...
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[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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With respect to tangent lines, a function is concave up when: the tangent lines lie below the graph. With respect to tangent lines, a function if concave down when: the tangent lines lie above the graph. Part Four: Points of Inflection and Concavity. Some functions won’t have a single concavity. Let’s look at some examples of those functions.
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[DOC File]M CC 160 Calculus for Physical Scientists I
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An equation for the line tangent to the product function p(x) = f(x) g(x) at the point x = c can be found by multiplying the equations for these two tangent lines and using a little algebraic ingenuity. The slope of this tangent line is, of course, the derivative of the product.
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Equations of tangent lines calculator