Use linear approximation, i.e. the tangent line, to approximate 16.1 as follows: Let f(x) = Vx. Find the equation of the tangent line to f(x) at a = 16 L(x) = Using this, we find our approximation for 16.1 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

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A: Given function: fx=x2-1x+1 Simplifying the function: fx=x2-1x+1       =x2-12x+1Using: a2-b2=a-ba+b…

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Q: Use linear approximationn to approximate /81.1 as follows: Let f(x) = Vx. Find the equation of the…

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Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

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Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

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Q: Find the slope indicator of the tangent lines of the given function and evaluate the slo the given…

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Q: Use linear approximation, i.e. the tangent line, to approximate v25.3 as follows: Let f(x) = Vx.…

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Q: #36 Find the equation of the tangent line to the graph of X²(x²+y²) = y? at

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 – 6xy = 0,     (4/3,…

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Q: Find the slope of the tangent to the graph of the following function at the point (e^2,4). Give your…

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Q: Find an equation of the tangent line to the curve at the point (1, 1). y=ln(xe^x^9)  (e is raised…

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Q: ху 2x — 9 = 0; x = -3 =

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Q: 4. Find the slope of the tangent line to the curve 2xy + 4* = y? – tan(2x) at the point (0, 1). Give…

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Q: f (x) = x² + Vx at the point where x = 1

A: We have to find equation of tangent line for the given function at the specified point: fx=x2+x at…

Q: Find all values of x where the slope of the tangent line to f(x)=4x^2−3x+2 is 0. x = ____

A: The detailed solution is given below Thank you

Q: Find an equation of the tangent line to the graph of the function                    y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: For which value(s) of x does f(x)=4x33+2x2+7x−21 have a tangent line of slope 6? Select all correct…

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

Q: Use linear approximation, i.e. the tangent line, to approximate 2.8' as follows: Let f(x) = x". The…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows: Let f(x) = x³. The…

A: We have to approximate 3.93 using linear approximation, i.e. the tangent line. Given fx=x3. The…

Q: Consider the function f(x) = 1/x and show it on grap. Find the equation of the tangent line at x =3.

A: Given function is fx=1x. To graph the function and the find the equation of the tangent line at x=3.…

Q: Given that f(2)=−3 and f′(2)=6, find an equation for the tangent line to the graph of y=f(x) at x=2.

A: For the function y=f(x), slope of the tangent at any point (a, f(a)) is given by mT=f'(x) at (a,…

Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

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Q: Find the equation of the tangent line to the following curve at the given point y = cosh(x) + e3when…

A: we have to find equation of the tangent

Q: 2n 5) h(x) = tanx, x = 3

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Q: Find the equation of the tangent line to the graph of h at the point (1, 0) xh += 1 = 2x2 + h where…

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Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: Find the equation of the tangent line to the function f(x) = –3x² form y - 2x at the point where x…

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Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

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Q: Find an equation of the tangent line to the graph of the function f(x) = e6x, at the given point (0,…

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Q: Find two integer values of b so that y = -x +b is an equation of a tangent line to the graph of y =…

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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.

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

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Q: Use linear approximation, i.e. the tangent line, to approximate 1.97 as follows: Let f(x) = x7. Find…

A: Given, y=f(x)= x⁷ Slope of the tangent is given by , f'(x)=d(x⁷)/dx f'(x)= 7x⁶

Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx.…

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Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

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Q: Find the equation of the tangent line to the following curve at the given point. y = cosh(x) +…

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Q: Find an equation of the tangent line to the curve at the point (1, 1/e)   y = x3e−x

A: Given query is to find the equation of tangent line to the curve   y = x3e-x

Q: Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√x. Find…

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Q: 12. Find the equation of the tangent line to the given function at the point (0,1). f(x) = In(3xe¬x)

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

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Q: Find an equation of the tangent line to the graph of Y=x(x+1)^5 at the point (2,486)

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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.

Q: Find an equation of the tangent line to the graph of the function at the given p h(x) = (x2 – 2)(x –…

A: In this question we will use basic of calculus I.e application of differentiation. We wilo find…

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

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Q: Use linear approximation, i.e. the tangent line, to approximate 5.85° as follows: Let f(x) = x°. The…

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Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

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Q: 1. Find the equation of the tangent line to the graph of f(x) = x?e-* at x = 1.

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