Produce the linear minimax approximation to f(x) = ln (x) on [1,2). Graph the error, and compare it with the Taylor approximation.

Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: By the use of local linear approximation of g at x=2, estimate g(-1.998) if g(-2)=-1 and g’(-2)=10

A: local linear approximation formula for g(x)g(x)=g(a)+g'(a)(x-a)

Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: Given: Dx be the linear transformation from C'a,b into Ca,b. To find: Preimage of the function…

Q: Let y = 5x + 7x + 3. If Ax = 0.3 at x = 3, use linear approximation to estimate Ay Ay =

A: Follow 2nd step.

Q: Find the average rate of change of f(x)=−x2+9x on the interval [1,6].

A: Given: The given function is, f(x) = -x2 + 9x  on [1, 6]   To determine: The average rate of change…

Q: Find the linear approximation L (x) to ƒ (x) = xcosx at a = T.

A: Given that, f(x) = x cosx and we have to find linear approximation L(x) at a = π

Q: Find the equation of normal to the function f(x) = x³ - 3x + 1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: consider the function f(x)=x4-5x3+8x2+5x+7 compute the linear approximation Lf,1(x). Check that its…

A:

Q: Find a linear approximation to f(x,y) : = (x? + y²)e-(x²+y*). At (0, 0), and use it to approximate…

A:

Q: For the function f(x, y) = (cos x)ey +v 1 + x + y. %3D Show the process of using the linearization…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

A: Topic- Vectro

Q: Find the linear approximation to the equation f(x, y) = 4 ln(x¹ −y) at the point (3,80,0), and use…

A: Linear approximation

Q: Determine the appropriate f(x) and a, and evaluate L(x) (1 + 11/01 ) ²⁰0 10 = f(a) + f'(a)(x − a). -…

A: The linear approximation of f(x) is given by:L(x) = f(a) + f'(a)(x - a)We have to evaluate (1 +…

Q: An object travels in a straight line with velocity v(t) = 6 − 3t over the timeinterval [0, 5]. Find…

A: We first find the t intercept of v(t)=6-3t  for that, we plug v(t)=0 and solve for t For t<2 ,…

Q: Find the local linearization of f(I) = 1/1 at-3. %3D Ls(z) =U %3D

A:

Q: Let X be a set of 2×3 matrices. if for any a1 az az A = B = b1 b2 b3 b4 b5 b6 EX, a4 a5 a6 6 d(A, B)…

A:

Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

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

A:

Q: Find the local linear approximation L (x) of the function f(x) = 5 – x² at =2.

A: To find the linear approximation of given function.

Q: ) L(3.98) where L(x) is the linearization of y = √√x +3 at x = 1 (tangent line approximation)

A:

Q: Use linearization to estimate v26. Use L(x) = f(a) + f'(a)(x – a), where f(x) = vx and a = 25. Once…

A: Linearization formula L(x)=f(a)+f'(a)(x-a)

Q: Calculate L6 for f(x) = v9x + I over [1,3]. (Give your answer to three decimal places.)

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is

Q: Consider the function, f(x) = 3 In(2x+ 1) - 7. Approximate f(-0.1) using a linear approximation.

A: