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[DOC File]Metes and Bounds Descriptions – Describing Curves
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Non-tangent curve. description may give the angle of the radial line pass-through the ending point of the last course — this line being the bearing of the radius of the non-tangent curve; or the description may give the bearing of a line passing through the ending point of the last course to which the curve would be tangent.
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[DOC File]AP Calculus Free-Response Questions
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for t ( 0. At time t = 2, the object is at the point (6, -3). (Note: sin-1x = arcsin x) a. Find the acceleration vector and the speed of the object at time t = 2. b. The curve has a vertical tangent line at one point. At what time t is the object at this point? c. Let m(t) denote the slope of the line tangent to the curve at the point …
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Activity overview:
The Tangent Line Problem (TI-Nspire technology) ( 8315. The Mean Value Theorem (TI-Nspire technology) ( 9896 Part 1 – Graph of Secant and Tangent Lines. On page 1.3, the graph of y = x2 is shown. Students are to grab point Q and move it toward point P. They are then asked to make an observation about the lines and the values of the slopes.
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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 = …
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[DOC File]2006 AP Calculus AB – Part A (with calculator) - Solutions
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First we use the tangent line at (-1,-4) to approximate f(-.5): Now we use that point (-.5,-1) to find the approximate slope at x = -.5 . Finally, we use this approximate slope and the approximate point (-.5,-1) to… 2006 AP Calculus BC – Part B (no calculator) – Solutions (a) Using the Ratio Test (absolute convergence), we obtain:
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[DOC File]Match the slope fields with their differential equations
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tangent line to the curve through the point (1, 1). Then use your tangent line. equation to estimate the value of (c) Find the particular solution to the differential equation with the initial . condition . Use your solution to find . (d) Compare your estimate of found in part (b) to the actual value of found in. part (c).
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[DOC File]Calculus 1 Lecture Notes, Section 3.1
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If you look at a small enough region of a function near a given point, the function can be approximated pretty well by its tangent line at that point. Here is a graph of the function y = f(x) = x3 –3x2 + 2x + 1 and its tangent line at the point (2,1). The equation of the tangent line is y = 2x – 3.
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[DOC File]AP Calculus Assignments: Derivative Techniques
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8. Find the equation of the line tangent to at the point where x = 2. 9. Find the equation of the line tangent to at the point where x = 1. 10. A bug travels along the x-axis. Its position as a function of time is given by (x in meters, t in seconds; it’s a very fast bug) for t …
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[DOC File]CALCULUS BC
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(b) When so the tangent line equation is _____ 8. (a) (b) A horizontal tangent occurs when so a horizontal tangent. occurs when which is at t= 2. When t = 2, x = 7 and y = 4 so a horizontal. tangent occurs at the point. A vertical tangent occurs when Since, there is no point …
find tangent line at given point

[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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Tangent line calculator at a point