Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) = Preview %3D Submit

Q: Find all values of x such that dy/ldx = 0 where y is the function stated below. x2 y = -3x + 4)

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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: What is the relative minimum value of the function f(x, y) = x³ – 3xy + y³ – 2?

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Q: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

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Q: Find and sketch the domain of f(x, y) = √√1 − (x + 1)² − y² + 2 ln (x − y + 1).

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Q: Calculate the linearization L of f(x) : 5e* at x = 1. x2 Express your answer in terms of e and x.

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Q: Find linearization of the function f(x) = Vx + 3 at a = 1 and use it to approximate V3.98

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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

A: To find the derivative

Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: Find the MRSxy of the utility function U=In(x)+y.

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Q: Use chain rule to find express answer in terms of x only. dx y = Vu² – 1 u = 4Vx

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Q: Differentiate the function. y = (3x- 2)² (1 –x³)² dy

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Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: Find the linearization L(x) of the function at a. f(x) = Vx, a = 25 L(x) =

A: The solution of the problem is given in the next step.

Q: 1. Let f(x, y) = 8x³ + y³. Find fæ(0,0). %3D

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Q: What is the linear approximation of the function f (x) = e x at x = 1?

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Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

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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: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

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Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

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Q: Find the linearization L(x)of f(x)at x = a where f(x) = Vx² + 9 at a = –4

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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: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: Find the minimum values of the function (x, y) = x² + 2y² that lic on the cirele x² + y² =1

A: Given : Function fx,y = x2 + 2y2  Circle x2 + y2 = 1   To find : Minimum values of the given…

Q: Find the streamlines corresponding to: f(z) = z²

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Q: First write the function y = Vx2 +1 as a composition of y = f(u) and u = g(x), and then dy apply…

A: y=x2+1y=f(u), u=g(x)To find:dydx

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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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 particular sölution f"(x) = 4, f'(2) = 12, f(2) = 17

A: integration 2 times and after applying initial condition we get f(x)

Q: Supposed that z is defined implicitly as a function of x and y by the equation x2 + y2 +z2 = 4. Find…

A: The given data is: x2+y2+z2=4 To find the value of dzdx

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: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: Find the linear approximation of f(x) = Vx-1 approximate 2.02. near a = 2. Use the result to

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

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Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: Consider the function f(x, y) = e^(10x - x^2 -10y - y^2). Find and classify all critical points of…

A: The given question can be solved as shown in step 2.

Q: Find f fy. - f(x.y.z) = x - Vy² + 22? + 2z² = (Type an exact answer using

A: Here we have to find fx , fy and fz  of

Q: Q3: Find fxx of the function f (x, y, z) = -In/1-x2 - y2 – z2 %3D

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Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4)

Q: Determine the extrema of the implicit functions: (2² + y² + z²)² = 1 – a² – 2², z = 2(x, y) | |

A: Given x2+y2+z22=1-x2-z2 Differentiate with respect to x:…

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: (b). Examine the behavior of e*+iy as x → -.

A: Euler's formula states that for any real number x  Any complex number z = x + iy,  can be written…

Q: Find constants c1 and c2 such that F(x) = c1xe -x + c2e -x is an antiderivative of f(x) = 3xe -x .

A: Given: Fx=C1xe-x+C2e-x  and fx=3xe-x

Q: Is g(x) = Vx + 1 differentiable or not? Justify.

A: Note :-  f(x) is exist only if f(x)≥0.

Q: 12. Differentiate the function (use chain rule): y = 2x2 Vx+1'

A: To differentiate the given function

Q: Describe the domain of : f (x,y) = Ln(2 + x + y)

A: in the question it is asked to write the domain of f(x, y)=ln(2+x+y).

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

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Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…