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[DOCX File]www.mayfieldschools.org
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Why is it reasonable to believe that the slope of the tangent line is the instantaneous rate of change of the balloon height at time t 1 ? 9.Sadly , we cannot compute the slope of the tangent line to a curve using the same formula that we developed in problem (7).
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[DOC File]Factor and Remainder Theorems
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(i) Show that the equation of the tangent to the curve with equation at the point where x = 1 is y = 4x -2. (ii) Show that the curve meets the tangent line again when . By expressing as a product of three factors, find where the tangent meets the curve again. f(x) = . Calculate f(2). Solve the equation f ′(x) = 0.
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[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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The tangent line is below the curve, so any point on the tangent line will be less than the true point on the curve. Now consider the point (-2,2) on the curve. The equation of the tangent line at this point is . What is the linear approximation of at the point x = -2.08? The linear approximation of x = -2.08 is y = 1.92
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[DOC File]Constructing Tangents to Functions and Calculating the ...
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In Figure 11.6 the red curve is the graph of f(x)= a•sin(b•x+c). The blue line is a secant-tangent to this curve. The tall, dark blue curve is the graph of the slope of this tangent line as x varies. The light blue curve is the graph of a•cos(b•x+c). When b=1 the two blue curves coincide. Why? In Figure 11.6, b > 1.
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[DOC File]mrbermel
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(a series of line segments that use the slope of the line or function used to estimate the value of the function or curve) 1A. Suppose with. Write an equation of a line tangent to the graph of y at and use it to approximate. 1B. Use Euler’s Method to approximate y(3) starting with y(1.5)=4 and using. 1C.
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[DOC File]Calculus 2 Lecture Notes, Section 9.2
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Finding the slope of tangent lines and the area enclosed by a curve described by parametric equations require slightly different formulas than when we had y = f(x). Big skill: You should be able to calculate the first and second derivatives of a graph defined by parametric equations, the area of a closed graph, and the velocity and acceleration ...
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[DOC File]Introduction to Tangent Lines using TI-nspire CAS
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Next calculate the slope of the tangent line you drew in step 3. Choose the menu icon, select 7:Measurement→3:Slope. Move the cursor to the tangent line until “line” appears and hit enter twice. The number should darken. Hit the esc key. (You can move this number to an empty area of the graph by following the directions at the end of step 2.)
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[DOC File]MAT 271 .edu
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Jul 13, 2008 · Section 1.1 Tangent lines and the approximate length of a curve. Equation of the tangent line . through the point having slope m is . The slope of a tangent line, which passes through and is . The middle point of a line segment joining the points and is . Examples. Find the equation of a line through (1, 2) and (5, 7).
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Calculate tangent line of curve