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[DOC File]Equations and Graphs
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Continuing our discussion of the tangent line to at we next wish to find the equation of the tangent line. We know that it passes though but we do not yet have enough information to generate its equation. What other information do we need? (Answer: The slope of the line.) Yes, we need to find the slope of the line.
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[DOCX File]MATH 201 – CALCULUS I
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Write the equation of the tangent line to a curve at a given point. State and be able to use Rolle's and the Mean Value Theorems. Differentiate any algebraic or trigonometric function using the rules of differentiation, including implicit differentiation, and write answers in simplified form.
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[DOC File]AP Calculus Free-Response Questions
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Write an equation for the line tangent to the graph of f at (1, -1) and use it to approximate f(1.1). c. Find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1. 2006 Graphing Calculator on 1st 3 questions only . 235.
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[DOC File]Calculus 1 Lecture Notes, Section 3.1
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Linear approximations are useful if we want to calculate values of a function that a calculator can’t handle with its limited number of digits. Linear approximations can be used to interpolate between data points. Equation for the tangent line (linear approximation) of a function f(x) at x = x0: y = L(x) = f(x0) + f …
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[DOC File]CALCULUS BC
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A vertical tangent occurs when so a vertical tangent occurs when . When, so a vertical tangent occurs at the . point. _____ 10. (a) (b) A horizontal tangent occurs when so a horizontal tangent. occurs when which is at. When t = , x = 3 and y = 3, and when, x = 3 and y = 5 so a horizontal tangent …
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[DOC File]Using your Calculator - Sine, Cosine, and Tangent Ratios
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Rearrange the equation so the unknown is on a side by itself. Take the ‘a’ to the other side and multiply (do the opposite operation) And now we get … Take the Tan 30˚ to the other side and divide (do the opposite operation) Now we get…. a = Solve for the unknown using your calculator. Now do this calculation on your calculator…
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[DOC File]M CC 160 Calculus for Physical Scientists I
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The calculator will draw the line tangent to the graph of the function at the point (3, f(3)) and display an equation for the tangent line at the bottom of the screen. If you use some other make or model of calculator, refer to the manual for your calculator to learn how to get the calculator to draw a tangent …
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[DOC File]LAB – DERIVATION OF THE SLOPE FUNCTION
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The calculator will draw the tangent line and give you the equation in slope intercept form. (Enter both the equation and the slope on the chart.) Repeat for each of the x-values and complete the chart. Notice that the slope changes as the x-value changes!!
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[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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Extension Two: Linear Approximation and Tangent Lines. Graph the equation y = x3 + 2x2 - 3x – 4 on the window [-10, 10] by [-10, -10]. Draw a point on the curve, draw a tangent line through that point, and find the equation of the tangent line, using the TI-Nspire.
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Equation of the tangent calculator