f(x) = x – x³ [0, 1]. Find the global extremum.

Q: Find the linearization of the function f (x) = x' at x = 1. L (x) =

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Q: Suppose that g is a continuous function. Find the general solution of y" – y = g(t).

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Q: Given f(x, y) = x²y – 2xy + x² – 2x + y² – y. (a) Find the critical points of f. (b) Use the Second…

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Q: Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = -√x²+y² is Z- continuous?

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Q: Find the linearization of f(x) = (1+ x)20 at x = 0. Use it to approximate (1.001)20.

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Q: Differentiate fx) with respect to g(x) of yx= xsiny

A: To find the derivative

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

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Q: Differentiate f(x) with respect to g(x) of yx=xsiny

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Q: Find the absolute maximum and minimum of the function f (x , y) =x² + y² on a closed triangular…

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Q: Find the linearization L(x) of f (x) = tan x at a =

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Q: Find the local linear approximation L (x)of the function f (x)= x² +3 at x = 1

A: Given that: f(x)=x2+3

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

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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: Find the linearization L(x) of the function f(x)=x^3/4 at x=1

A: Given, f(x)= x³/4 x=1 Therefore, f(x=1)=1³/4 f(x=1)=1/4

Q: A) Find and classify the critical points of f(z, y) = x³ + y3 – 6y? – 3.x + 9 using the first and…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Find the linear approximation to f(x) = at a = 4.

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

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

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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: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

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) at x=a. f(x)=x/2x+9 a=0

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

A: To find the linear approximation of given function.

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: + A(- for 0<x< 1, then u attains its maximum in the interval 0 sxs1 either at x=0 or at x= 1.

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

A: Given, f(x)=x6

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: Find a multivariable function f(x, t) that satisfies the Black-Scholes equation: ft = f - xfx -…

A: f(x,t)=etlog(x) satisfies Black-Scholes equation: ft = f - xfx - x2fxx

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: Find the linear approximation L(x)of f(x)=x^4 at the point a = −5 L(x)=

A: Given that f(x) = x4 We have to find the linear approximation L(x) of f(x)=x4 at the point a= -5.

Q: Find the maximum and minimum value of f (x,y) =x' + 3xy² – 3x² – 3y² +4 = X" - -

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Q: Find the linearization of L(x) of f(x) at x=a f(x)=StartRoot x2 +17, End Root a =8

A: Given function and point is

Q: At what value of x does the curve y = x(x – a²)(x – b²) have a local maximum?

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

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

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

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Q: Show that the linearization of f(x) = (1 + x)k at x = 0 is L(x) = 1+ kx.

A: We need a linear approximation formula for f(x).

Q: 2 f(x, y) = x² + 3xy

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Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: The value of Wronskian of two functions y, =7* and y2 =7** is

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Q: Find ý of the function x2 - e2x+3y - In(xy) = 0. %3D

A: Consider x2-e2x+3y-ln(xy3)=0We differentiate it implicity, we…

Q: Given f (x,y) = 3 – 2x² – 2xy – 2y² – 16x, find and classify all critical points of f. -

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y)=3-2x2-2xy-2y2-16x as follows.…

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 maximum value of J (x) f(x) = V1 + x² on the indicated interval. [0,2]

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