Find equation of line tangent
[DOC File]AP Calculus Free-Response Questions
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Find the equation of the tangent line to the graph of at the point at which x = 0. 7. The cost function for a product is given by , where x is the number of items produced and C(x) is the cost in dollars to produce x items. How much would it cost to produce the 101st item? 8. A drug concentration curve is given by , with C in mg/ml and t in ...
[DOC File]Section 1 - Radford University
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1. Find the zeros. 2. Find equation of the line tangent to f(x) at (a,b) 3. Find equation of the line normal to f(x) at (a,b) 4. Show that f(x) is even 5. Show that f(x) is odd. 6. Find the interval where f(x) is increasing 7. Find the interval where the SLOPE of f(x) is increasing 8. Find the minimum value of …
[DOC File]Tangent Lines and Rates of Change
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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 ( 0.
How to Find the Equation of a Tangent Line: 8 Steps
Find the derivative of and the equation of the tangent line at . Solution: Using the definition of the derivative, Thus the slope of the tangent line at is . For , we can find by simply substituting into . Thus the equation of the tangent line is . Notation. Calculus, just …
[DOC File]Introduction to Tangent Lines using TI-nspire CAS
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Find the equation of the line tangent to f(x) at x = -2. f. Find the equation of the line normal to f(x) at x = -2. (This is the line perpendicular to the tangent line to f at x = -2.) g. Suppose f(x) gives the acceleration (cm/sec2) of an object when it is at . position x (cm).
[DOC File]AP Calculus Assignments: Derivative Techniques
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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. To draw a point on the curve and draw a tangent through that point, refer to Activity 1.
[DOC File]mrbermel
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To find the equation of any line, including a tangent line, we need to know the line’s slope and a point on the line. Since we already have a point on line, we must find the tangent line’s slope, which is found using the derivative. Using the limit definition of the derivative, we see that. Continued on next page. Using , we can now find ...
[DOC File]AP Calculus AB – Final Review Sheet
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Find h((x) and write an equation for the line tangent to the graph of h at x = 0. 2007 Graphing Calculator on 1st 3 questions only. 241. Let R be the region in the first and second quadrants bounded above by the graph of y = and below by the horizontal line y = 2. a. Find the area of R. b.
[DOC File]CALCULUS BC
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Find the slope of the graph of f at the point where x = 1. Write an equation for the line tangent to the graph of f at x = 1 and use it to approximate f(1.2) Find f(x) by solving the separable differential equation with initial condition. Use your solution from part (c) to find the exact solution to f(1.2).
[DOC File]1
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(a) Find in terms of t. (b) Find an equation of the tangent line to C at the point where t = 2. 7. A curve C is defined by the parametric equations. (a) Find in terms of t. (b) Find an equation of the tangent line to C at the point where t =. _____ On problems 8 – 10, find: (a) in terms of t. (b) all points of horizontal and vertical tangency ...
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