3.1.18 Question Help Find the slope of the function's graph at the given point. Then find an equation for the line tangent to the graph there. f(x)= 3x+4, (7,5) The slope of the function's graph at (7,5) is (Simplify your answer.)

Q: f(3) = -9 and f'(3) = 7 . Then the equation of the tangent line to the graph of y = f(x) at x = 3 is

A: Given Data: The value of function at x=3 is: f(3)=-9 The value of the derivative of the function at…

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Q: 4 e 2x Find the equation of the tangent line to the graph of f(x) = 5x -2 at (0, - 2). The equation…

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Q: Find the slope of the tangent line to the graph of f(x) = 5x at the point (4,80). Find the…

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A: The given function is:

Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 5 is y = 9x –…

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Q: = -4 and g'(2) = 3. (Enter your answer as an equation in Find an equation of the tangent line to the…

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Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: Given:f(x)=x2x+7        at  (1,16)

Q: ind the point on the graph of the given function at which the slope of the tangent line is the given…

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Q: Consider the functionf(x) = x3 + 3and the point(1, 4).(a) Find the slope of the tangent to the graph…

A: Given the function f(x) = x3+3 and a point (1,4).The slope of the tangent to the graph of f(x) at…

Q: 2) Find the equation of the line through the point (2, 5) with a slope of m = -. Graph the line on…

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Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2…

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Q: 8. The slope of a curve follows the following function y = 3x – 2, the curve passes through the…

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Q: Find the slope of the graph of the function y = 2x at (2,2) Then find an equation of the line…

A: We need to find slope and equation of tangent line.

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Q: An arrow is shot from 5 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If…

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Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =

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Q: 3) a) Find the slope of BDUsing the FORMULA. Show all work.

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Q: The graph of f(x) passes through the point (0, 6). The slope of f at any point P is 5 times the…

A: Given:   Graph passes through point ( 0 , 6)    Slope = 5*y1 = 5(6)  = 30

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x +…

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Q: 4x Find the slope of the graph of the function y = at (5,10). Then find an equation for the line…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. f(x) =…

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Q: Suppose f(x) = 2Væ. (a) Find the slope of the function's graph at a = 4. Slope = f'(4) = (b) Find an…

A: Explained below

Q: Let f(x) = 3x – 5æ? + 4. Find the equation of the line tangent to the graph of y = f(x) at the point…

A: Equation of line passing through x1,y1 having slope m is (y-y1)=m(x-x1).

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Q: 1. Find the slope of the function's graph at the given point. Then find an equation for the line…

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Q: An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If…

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Q: Find an equation of the tangent line to the graph of f(x) = -3-3x at (-3,- 30). %3! The equation of…

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Q: 1 If g(x) is the f(x) = x after a vertical compression by a 2 shift left by 3, and a shift up by 1,…

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Q: For small changes in temperature, the formula for the expansion of a metal rod under a change in…

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Q: - 14 / 15 9. Find an equation of the curve whose tangent line has a slope of f'(x) = 3x given that…

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Q: or the given function, find (a) the equation of the secant line through the points where x has the…

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Q: find the slope of the function's graph at the given point. Then find an equation for the line…

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Q: Can you help me with this problem step by step?

A: The equation of the given curve is,