Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = - %3D 5+x? (Use decimal notation. Give your answer to five decimal places.)

Q: 4. Find the linear approximation to f(x) = cos(x) near a =- [Where L(x) = f(a) + f'(a)(x – a) ]

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Q: Use the linear approximation to f (x, y) = √x/y at (9, 4) to estimate √9.1/3.9.

A: f(x,y)=xy at (9,4) to estimate 9.13.9

Q: Find the local linear approximation to f(x) = Vx at x = 1 and use it to approximate both 1.1 and…

A: To know which one is better we have to compare with calculator values of sqrt(1.1)  and sqrt(0.1)

Q: Let f(x, y) = . Use the Linear Approximation at an appropriate point (a, b) to estimate…

A: Given,f(x,y) = x2y2+1To estimate,f(4.02,0.93) using the LinearApproximation at an appropriate point…

Q: Use the linear approximation of f(x) = at r = 0 to approximate f(-0.1). 1+r

A: Use the linear approximation of f(x)=1/(1+x) at x=0 to approximate f(-0.1).

Q: Using a local linear approximation of f(x) = v4 + x at a 0 to estimate the value of v4.3 gives

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Q: Find the linearization of the function f(x,y) = V9x² + 16y² at the point (1, 1), and use it to…

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Q: Use the Linear Approximation to f(x, y) = x/y at (9, 4) to estimate 9.1/3.9.

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Q: Find the linear approximation of f(x) = e(a) at a = 1.

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Q: The linear approximation at x and where B is:

A: Given a trigonometric functionf(x)=sin(6x)

Q: Find the local linear approximation of the function f(x) = /1+ x at xo = 3, and use it to…

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Q: d Use the chain rule to calculate f(x), if f(x) dx, dt. -x12 f(x) =

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Q: Let y = sin(5x). If Ax : = Ay ~ = Find the percentage error error = 0.2 at x = 0, use linear…

A: Linear approximation of y=f(x) at x=x0 is L(x)≈f(x0)+f'(x0)(x-x0)

Q: With the use of: local linear approximation Estimate: In (V0.99)

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Q: Find the linear approximation to f(x) = cos(x) near a =- [Where L(x) = f(a) + f'(a)(x – a) ] 3

A: Solution: The objective is to find the linear approximation

Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

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Q: Exercise 10. Find the derivative d 7x (* + 2) dt dx

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Q: Verify the final value theorem of f(t) =1+et[sint + cost]. O- 1 1

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Q: Find the linear approximation of the function f(x) = v9+x at xo = 0, and use it to approximate v8.9…

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Q: Find the linear approximation of f(x) = In r at a = 1 and use it to estimate In(1.14). L(2) = %3D…

A: Please refer the attached image for complete solution.

Q: Find the linear approximation to the function f(x, y) = sin y --- |T at x, = (1, -2) 2 and use it to…

A: The solution is given as

Q: ) Find the local linear approximation of the function f(x) = V1+x at xo = 3, and use it to…

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Q: Find the linear approximation to f(x)= cot (x) LCx) = f (a) + f'Ca) (x-a). near a=" as

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Q: Use the Quotient Rule to compute the following: d ( t2 +1 at t = -4 %3D dt \ t2 – 1 The derivative…

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Q: Find the linear approximation of f(x) = (5 + x)n at x = 0. Use the approximation to estimate the…

A: fx=5+xn at x=0. Differentiating with respect to x, we get f'x=n5+xn-1 Now, f0=5+0n=5n &…

Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a 6

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Q: Find a linear approximation of the function f(x) = V1-x at a = 0. %3D

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Q: Find the best linear approximation, g, to f on the interval [0, 1]. (x) = 2/x g(x) %3D

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Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the…

Q: Calculate the derivative d da 34 dt using Part 2 of the Fundamental Theorem of Calculus. 34 d dx…

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Q: Find the linear approximation of f(x) = sin x, for x close to 0

A: The given function is: f(x)=sin x To find the linear approximation of it close to 0.

Q: d Use the chain rule to calculate f(x) if f(x) In (1+ tº) dt. dx, 0. f(x) =

A: let's use chain rule and find derivative of integral.

Q: Find the best linear approximation to f(x) = ex on the interval [-1,1]

A: We have to find the best linear approximation of f(x)=ex on the interval -1,1.

Q: What is the linear approximation for any generic linear function y=mx+b?

A: Given: y=mx+b

Q: Let f(x) = Vx - 10 and use the Linear Approximation to this function at a = 35 with Ax = 0.6 to…

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Q: Find the linear approximation of f(x) = Vx +I at a = 1.

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Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate V9.2

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Q: Obtain the MSE of f(x) = ex.

A: MSE = Maclaurin Series Expansion f(x)=ex formula f(x)=∑k=0∞f(k)(0)k!xk

Q: Consider the function y defined implicitly by 3(x2 + y2)? = 100xy. Use the linear approximation at…

A: Given : 3(x² + y²) = 100xy

Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: Find the linearization of the function f(x)=x5 at x=1. L(x)= Using this linearlization, f(1.04).is…

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Q: a). Find the linear approximation to f(x) = VI at r = 64, (b). Use it to approximate V65. c).…

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Q: Let f(x) = V3+ x, a = 13, and Ax = 0.1. Estimate Af using the Linear Approximation and use a…

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Q: Find the local linear approximation L (x)of the function f (x) = lnx at x = 1 %3D

A: LINEAR APPROXIMATION

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given function is, h(x)=x4.

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. V35.63 2

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Q: Find the linear approximation of f(x)=(1+x)3 at x=0. Using this approximation to estimate (1.01)3…

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Q: 2. Find the linear approximation of f(x) vx at x 4. Then, find the approximate value of 4.4 using…

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