The point P(4, -2) lies on the curve y = 2/(3- x). (a) If Q is the point (x, 2/(3- x)), use your calculator to find the slope mpo of the secant line PQ (correct to six decimal places) for the following values of x. (1) 3.9 (1) 3.99 - Odu () 3.999 (v) 3.9999 (v) 4.1 (vi) 4.01 (vi) 4.001 (vii) 4.0001 (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(4, -2). (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4, -2).

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Q: y = vx² – 9

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

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A: Find the points on the curve y=4x-6x2+4  where the tangent line is horizontal.

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Q: Find an equation of the tangent line to the curve at the given polnt. y = 4x² – x², (1, 3)…

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Q: Determine the slope of the tangent line to the graph of x2 + 4y2 = 4 at the point (√2, −1/√2).

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Q: Find the slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

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Q: Find an equation for the tangent line to the curve y = xV 2x² - 14 at the point (3,6). O y- 6 = 14(x…

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Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

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Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3…

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Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

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Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С.…

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A: Topic:- application of derivatives

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A: y=6x3+5x-3 has no tangent line with slope 4

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Q: 2. Find the equation of the line that is tangent to the curve y 3 + 3y = x 2 at the point (2, 1).

A: Find the equation of the line that is tangent to the curve y3 + 3y = x2 at the point (2,1).