1. How do you find the linearization of f (r) at r = a? Illustrate with a concrete example.

Q: 1. ( A) Find the linearization of the function at the given point. f (x, y) = (x + y + 1)², at (2,…

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Q: 1-Find the gradient of (1) f (x,y)= In(x²+y²) (1,1)

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Q: Find the direction at which the function f(x, y, 2) = a In(e-az) increases fastest at (-3,0, 0) O…

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Q: Find the linearization of the function f(x,y) = ln(x3y6) at the point (x0,y0) = (4, 3). Leave all…

A: Given fx,y=lnx3y6     at (4, 3) The linear approximation in 2 variables is given by Lx, y=fa,…

Q: What is the formula for the linearization of a function f at the point x = a? %3D

A: Given :To provide the formula for linearization of a function f at the point x=a

Q: What is the linearization L (x) of a function ƒ(x) at a point x = a? What is required of ƒ at a for…

A: linearization is finding the linear approximation to a function at a given point.It is given by,

Q: Find the linearization of g(x) = 3 + sec (t - 1) dt at x = -1.

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Q: A:- Find the orthogonal trajectories for functions In -1) = - COS X +a y

A: The given family of curves is: lny-1y=-cos x+a ,            where a is an arbitrary constant.

Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: 8 Find the linearization L(x, y) of the function at the given point f(x, y)=1+xIn(xy-5), (2,3)

A: Given: f(x,y)=1+xln(xy−5)(2,3)L(x,y)=?

Q: Find the linearization of the function f (x) = x' at x = 1. a ab Va |a| sin (a) 7 х-6 L (x) Using…

A: Given a function,

Q: 3. Find the linearization L(x) of the function at a. F(x) = Vx, a = 4

A: Use the formula for the linearization of a function about any point.

Q: Find the linearization of the function given below at the specified point. f(x) 4 In(x) at a = 1…

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Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: 2. Find the gradient of the function f(r.y) In(r y²) at the point( 1, 1).

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Q: Find the linearization of the function z = x/j at the point (3, 64). L(x,y)

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: Find the linearization of the function a) z = cos(sin y – x); at (-2,0) and use it to approximate…

A: Suppose f(x,y) be a differentiable function at (a,b). Then linearization of f(x,y) at (a,b) is given…

Q: Find the local linearization of f(x)=x^(2) at 2

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Q: Find the linearization L(x) of f(x) = cot(x) at x = π/4.

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Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…

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Q: 13. Let f(xy) = 2x3 – 4xy + yt. Give detailed explanations for your answers to the %3D following.…

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

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Q: Find the linearization of the function given below at the specified point. f(x) 2 In(x) at a = 1…

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Q: Find the linearization L(x)of the function at a .

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Q: Find the linearization of the function given below at the specified p f(x) = 4 In(x) at a = 1 L(x) =…

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Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

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Q: Recall the chain rule from differential calculus: f (g (æ)) = f' (9 (æ)) · g' (æ). d dx Find de tan…

A: We have to find

Q: What does it mean for the differentiability of a function if only one of the Cauchy-Reimann…

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Q: Find the linearization f(x) = √x, L(x) = L(x) of the function at a. a=4

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

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Q: (a) find the local linearization of f(x)=fourth root(x) at x=16 (b) Use the linearization to…

A: It is a linear approximation problem

Q: (a) Find the linearization of the function f(x) =x+ at x= a=1

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Q: Find the linearization L(x) of f(x) = cot x at x = 4

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Q: Find the linearization L(x) of f(x) = cot x at x = 4 %3D -

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Q: 1. Find the Gradient of the following a. F, = x'e" - y': b. F, = 4x' - 3y +5=?

A: Solution is given as below:

Q: Find the linearization of the function f(x): L(z)= ab a --4x-5 va a न 4x+3 at z=-1 sin (a) E

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Q: Find the linearization L(x) of the function at a. f(æ) = VT, a = -8 L(x) = %3D

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

A: To find the linearization of the following function

Q: 8. (a) For f(x) = Vx, give the linearization at a = 25. (b) Use your answer from part a to approxi-…

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

A: Given: y=mx+b

Q: Suppose f(x, y)= g(x)h(y), where g and h are continuously differentiable functions of one variable…

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Q: Find the linearization of the function f (x) = a° at a = 1.

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Q: FInd the linearization of the function given below at the specified point. f(x) = 5 In(x) at a = 1…

A: f(x)=5ln(x)  at x=1

Q: Find the linearization of the function f(x)=x2+2cosx at a=0.

A: Linearization of a function f(x) at x = a is given by, Now,

Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: Find the linearization of the function f (x) = =° at z = 1. L (1) = Using this linearlization, ƒ…

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Q: Find the linearization L(x) of the function at a. f(x) = e5x, a = 0 %3D L(x) 1 + 5x

A: f(x)=e5x point a=0

Q: . Find the linearization of √ x at a = 49. Then use your linearization to approximate √ 56.

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