Use linear approximation to approximate√25.4 as follows. Let √f(x)=x. The equation of the tangent line to f(x) at x=25 can be written in the form y=mx+b Compute m and b. m= b= Using this find the approximation for √25.4.

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A: we have to find value of  x at which f'(x)=6

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Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…

Q: Find the tangent line at t=1/2 for the graph given by x=4+4ln(2t) and y=t2+10 for all Real numbers…

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Q: Use linear approximation to approximate v25.1 as follows. Let f(x) Vx. The equation of the tangent…

A: The given functin f(x)=x at x=25

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A: the slope of the secant line over the interval [1, t]

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Q: If the tangent line to y = f(x) at (4, 2) passes through the point (0, 1), find f(4) and f'(4). f(4)…

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=x. The…

A: Our Aim is to find the approximation for 27.13 using linear approximationgiven that f(x)=x3.

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Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: For which value(s) of x does f(x)=6x+11 have a tangent line of slope −2?Select the correct answer…

A: we have to find value of x at which tangent line slope to f(x)=-2

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Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) Vr. The…

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Q: If the Tangent line to y=f(x) at (1,2t pass through the point (0,3) Find l1) and f'(1) A. (1) = 0…

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Q: Find the equation of the tangent line to f(x) = (36 + 4x²)¯ at x = Use your answer to (a) to…

A: (a) Given,              f(x)=(36+4x2)-12       at  x=0.

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The…

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Q: 2. Given f (x) = x² – 2x + 5, find the tangent line at x = 7

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: Let f(x) = Vx. The equation of the tangent line to f(x) at = 1 can be written in the form y = mx + b…

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