Use linearization to determine an approximation of V1002.

Q: 7x – 4xy = C

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Q: Find the orthogonal trajectories of the family of curves y=Ce* +10

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Q: How is linear approximation used to approximate the value of afunction ƒ near a point at which ƒ and…

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Q: Estimate using the Linear Approximation or linearization, and use a calculator to estimate the…

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Q: Find the orthogonal trajectories of the curve family ?

A: Given equation: y=x-2+Ce-x

Q: aber of linearly 1 is

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Q: Find the orthogonal trajectories of y = ae" where a be the arbitrary constant.

A: The objective is to find the orthogonal trajectory of y=aex, where a be the arbitrary constant.…

Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

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Q: Which is the linear differantial equation into which the Bernolli differantial equation transforms

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Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: Given, f(x)=1x, a=0.9 now find linearization f(0.9)=10.9=109 so linearization at 910,109…

Q: Find the orthogonal trajectories of the family of curves.

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Q: Estimate the cubed root of 28 using a linear approximation

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Q: Determine the orthogonal trajectories of the family of electric field lines described by the family…

A: Given    x-c3+y2-c23x-c=x3   differentiate  w.r.t.x    3x-c2+2ydydx-3c2=3x2⇒2ydydx=3x2-3x-c2+3c2…

Q: Give a difinition for Gradient

A: Introduction: The gradient of a scalar valued function is very significant in vector calculus. It is…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (3.97)3

A: Linear approximation formula f(x)= f(a)+(x-a)f'(a)

Q: find the orthogonal trajection of the family of curves x2+y2=a2

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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 y=√x  at a=49. Then use your linearization to approximate √56. Show work

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Q: For this Cost/Error Function, Write equations for 'm' and 'c' value updates in context of Linear…

A: Error = ∑(mx+c-Yo) Equation for m  Differentiate Error function with respect to m…

Q: Find the linearization of f(x, y) = −x² + 2y² at the point (3,-1). Use the linearization to estimate…

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Q: Calculate the gradient. h(x, у, 2) %3 хуz7 Vf =

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Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

Q: Find the orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: 5) Find the linear approximation to estimate V9.247. Compare this to the true value and determine if…

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Q: The orthogonal trajectories of the families of curve 3x? + y? = a? is

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Q: Use the linear approximation to estimate

A: In this question, by using a linear approximation to evaluate the value of the expression using…

Q: Find the orthogonal trajectories of

A: Given,          y=ax2+4ax+4a, where a being paarameter.

Q: y6 = C (x² + 1) %3D

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Q: Find the gradient of ?:V x²+y²1Z²

A: Gradient of a function f(x,y,z) is given by ∂f∂xi  ∂f∂yj + ∂f∂zk

Q: Find the gradient function for: 21y-

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Q: Find the orthogonal trajectories to the family of curves:

A: Consider the given equation. x2=C-12y2lny2-1 Find the derivative of the function with respect to x.…

Q: V26.9

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Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

Q: Find the orthogonal trajectories of y² = cx³

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Q: Find the linearization of ƒ(x) = √1 + x at x = 0

A: Consider the following function: fx=1+x Differentiate fx with respect to x: ddxfx=ddx1+xf'x=121+x

Q: Find the gradient function for: 1+3x 1) y = %3D x2 +1

A: Given that  y=(1+3x)/(x^2+1) To find the gradient of y

Q: Estimate 3√9 using a linear approximation at a=8.

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Q: Find the Orthogonal Trajectories: a.) y6 = C (x2 + 1)

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Q: What is the standard linear approximation?

A: A linear approximation is an approximation of a general function using a linear function. They are…

Q: Find the orthogonal trajectories of У — сх CX

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Q: which is the best definition of a counterexample

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Q: Although we used gradient descent to find the minimizer of f in part (a), we can also use calculus…

A: Given: fx=12Ax-b22+γ2x22   To show: The minimizer of the given function is, x^=ATA+γI-1ATb

Q: Find the gradient of the curve . Y=4x^2 at x=3

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Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Find the linearization of f (x) = xe¯* at a = 0. (Hint: Remember thne product rule.)

A: Given : fx = xe-x2

Q: Estimate v16.3 using the linearization L(x) of f(x) = /x at a = 16. (Use decimal notation. Give your…

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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.