Use linear approximation, i.e. the tangent line, to approximate V36.1 as follows: Let f(x) = Vx. Find the equation of the tangent line to f(x) at x = 36 L(x) = Using this, we find our approximation for 36.1 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

Q: Use linear approximation, i.e. the tangent line, to approximate V16.2 as follows: Let f(x) = Va.…

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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.

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = V12x + 4 at…

A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…

Q: 1. Find the slope of the tangent line for the following function at indicated point: x² – 1 S(x) =…

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

Q: Determine the equation of the tangent line and the quadratic approximation to the function z = e2"…

A: Given function is: z=e2x To find the equation of the tangent at a point x=x0 to curve y=fx,…

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

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Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at 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 the tangent line to g (x) 16 4T at z = 4.

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The…

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Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

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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: Find an equation of the tangent line to the given curve at the specified point. x² - 1 y = (1, 0) "…

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Q: Find the slope of the tangent line to the graph of the function at the given po y = e 5x y (0, 1) -2…

A: Given curve y=e-5x, point 0,1. Differentiation with respect to x we get…

Q: Use linear approximation, i.e. the tangent line, to approximate 3.7° as follows: Let f(x) = x°. The…

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.9° as follows: Let f(x) x'. Find…

A: The equation of the tangent to the function is given by the formula , The derivative of the function…

Q: Find the tangent line of f(x) = V1+x at a = 0 and use it to give an approximation for V1.01

A: To find the tangent line of the below function at a = 0. fx=1+x3

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: 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: find an equation of the tangent line at the point indicated. s(t) = ln(8 − 4t), t = 1

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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: a. Find the equation of the tangent line to f(x) = (93 + x)-1/2 at æ = 7 y = b. Use your answer to…

A: We have to solve the problem

Q: If y = f(x) has slope  −4  at x = 3, and y value 5 at x = 3, a) write the formula for the tangent…

A: (a) To write: The formula for the tangent line to f(x) at x=3. Given information:  If y = f(x) has…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e=*…

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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 the equation of the tangent line to the following curves at a given point y = x² – 6x + 9 at x…

A: 1)y=x2-6x+9 at x=2 2)y=sqrt(x+3) at x=1.

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 f at x = a. f (x) = 3 − 4x,             a = 2

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Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)= V. The…

A: slope at a point is given by its derivative at that point.Equation of line can be found by slope and…

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

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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: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

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Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

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 the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

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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: Use linear approximation, i.e. the tangent line, to approximate V27.2 as follows: Let f(x) = Vx. The…

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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: 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: f(x)=e*(7x' – 5x² + 2); at x =0

A: Given function: f(x)=ex(7x3-5x2+2) To find the equation of tangent line , find out slope at x=0…

Q: Find an equation for the tangent line to the following curve, h(x) = 16x – 2 In x at the point where…

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Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

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

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Q: Use linear approximation, i.e. the tangent line, to approximate 8.4² as follows: Let f(x) = x² and…

A: Equation of the tangent line: - The formula y – y1 = m (x – x1) can be used to find the equation of…