Find the linearization L(x) at x =a. .3 f(x)=4x² +3x-1 a =-3 L(x) =

Q: EXERCISE 1. Find equation 2. For the E different- Xフ5 -h (x 5oɔ 9-T)(XUIS h+ X) =(x) J () a) f(x) =…

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Q: equilibrium

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Q: Two equivalent forms of the Chain Rule for calculating the de-rivative of y = f(g(x)) are presented…

A: Given, if y=fx and u=gx then the derivative of their composition can be expressed as

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

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Q: Find the linearization of y = at x = 16.

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Q: 5. Find the linearization, L (x) f (a) + f' (a) (x – . a) of the given function "f" at "a". %3D - f…

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Q: Find the first partial derivatives of the function.   f(x, y)=-5xy

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Q: 1. A) Find the linearization of the function at the given point. f (x, y) = 2 + x In (4 – xy), at…

A: (NOTE- These are two completely different questions, only required to do the first one. Please post…

Q: Given f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?

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Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: The following linear model dx x(0) = 1000 6x, dt describes growth of populations Select one: True…

A: True.

Q: Q3:Find all the second order partial derivatives of the f(x, y) = 2x*- 5x'y3-y

A: Given: A function fx,y=2x4-5x3y3-y3. First, find first-order partial derivatives fx by…

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

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

Q: (b) Find the first order partial derivative af and for the function f(x, y) = x/y –x²y+ y²

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Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¯2y.

A: We need to find the orthogonal trajectories of the family of the curve given by x2=2y-1+ce-2y We…

Q: Compute the partial derivative if z = A) - 3ry? B) 1 C) D) Does not exist.

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Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) %3D

A: Given, The function, W = ln(x + 3y + 6z)

Q: find the first partial derivatives of the given function. complete solution z= 3x2y - y3 + 4x - 7

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Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

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Q: Find the linearization L(x) of y = e5* In(x) at a = 1. L(x) =

A: Given that:y=e5xln(x)a=1To find the linearization

Q: If Σ α An diverges then E ca can diverges only if c > 0 only if c < 0 only if c+ 0 for any real…

A: Given, ∑an diverges then find for which values of c, ∑can diverges.

Q: Find the partial derivative. z = (2² + 2x – 6y)"

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Q: b. Find the orthogonal trajectories for the family of curves x² + y² =C².

A: we have to find the orthogonal trajectory of the given family of curve

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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

A: The nearest integer to a=-0.9 is -1 because at this point, we can easily find the function's value…

Q: Find the Linearization L(x) of y= (3+ x)-1/2 at a = 1. L(x) =

A: To find the Linearization.

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: find a linearization at a suitably chosen integer near a at which the given function and its…

A: (1)Given:

Q: Find the linearization of y=2^x at a=0

A: use derivative to find the Linearization of y

Q: For the function f (x,y,z,w) with x, y, z, and w all functions of s, t, andr, write out the chain…

A: The function is fx,y,z,w x,y,z,w are functions of s,t,r.   Partial derivative of a function with…

Q: 2] write the chain rule formula for the derivatives Of and E , where Z=ZCrisit).

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Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

Q: Find the equation of orthogonal trajectories of the given function 8x² + y² = c.

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Q: In an effort to make the distribution of income more nearly equal, the government of a country…

A: Given: Lorenz curve for first year: y = 0.97x2.1 And for the next year: y = 0.35x2 + 0.65.

Q: Use the gradient descent method in the equation f=2(x_1)^2 + (x_2)^2 with the starting point (1,2)…

A: Given : equation                fx1, x2=2x12+x22 with starting point 1, 2 Use gradient descent in…

Q: Find the orthogonal trajectories of У — сх CX

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Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Compute the indicated partial derivative. g(x, у) %3 сos(x + ) 9xxy

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Q: find the partial derivatives of l(BO,B1) Σ 2 i=1 yi log ( 17 1² (B₁ + B₁ x)) + (1-y₁ ) log (1-² (B₁…

A: As per the question we are given a function l(β0 , β1) in partial summation form and from that we…

Q: Find the partial derivatives of the function V1r2 + 1s² + 6r² w =

A: Given,  w=1r2+1s2+6t2

Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: Find the first partial derivatives of the following function. f(x,y)-./ 3x2 + 8xyty2

A: To calculate the first partial derivatives of the given function of two variables

Q: Find the linearization L(x) of y=e10xln(x) at a=1

A: y=e10xln(x)  The linearization L(x) of a function f(x) at x = a is, Now  Now differentiating given…

Q: Find the partial derivative with respect to z of the function (3a – 2)e2y-5 In(-5z - 1).

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Q: Find all the second order partial derivatives of the given func f(x.y) = xy2 + yex + 5 A.

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Q: 8. Find the orthogonal trajectories of y cx

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Q: Find the linearization L(x) of y = e6« ln(x) at a = 1. L(x) =

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