The function h(x) (z + 4)° can be expressed in the form f(g(x)) where f(x) = r°, and g(x) is defined below: %3D g(z)= Preview

Q: For what value of x does the function f(x) = x - 9x - 120x + 6 have a local minimum? O A. 4 OB. 10…

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Q: 21) Find the maximum and/or minimum values of f (x, y) = x² + 2xy + 2y² - 6y + 2

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Q: – x®y³, 6. Given f(x, y) = e®° - show that fxy = fyx.

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Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 2x?.…

A: The given function is  f(x, y) = 2x2 - 5x - 3y + 5y2 To find the critical points of the function.

Q: Find the linearization L(x) of the function at a. f(x) = Væ, a = -8 L(x) =

A: Consider the given information. fx=x3,a=-8 The linearization of the function is defined as,…

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

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

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Q: Find all points (x, y) on the graph of g(x) = 1/3 x3 - 3/2 x2 + 1 withtangent lines parallel to the…

A: Given: The function gx=x33-3x22+1, To find: All the points x,y on the graph of given function at…

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Find all the local maxima, local minima, and saddle points of the function f(x, y) = e" (x² – y?).

A: The expression of function is .

Q: Find the relative maximum and minimum values. 3 3. f(x,y) =x +y° - 15xy

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

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Q: find the critical point and classify the function f(x,y)= x3 +y3 - 6xy

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Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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Q: Find the absolute maxima and minima of the function on the given domain. f(x, y) = 9x + 8y on the…

A: Option (C) is correct.

Q: a) Find the maximum percentage error in z if the percentage error in x is 1% and y is 2% given that…

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Q: Find all the local maxima, local minima and saddle points of the function f(x,y)=3+2x+2y-2x2-2xy-y2

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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: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and

A: The given function is: f(x,y)=(x2+2y)e2xy+8xy...(1) The function f(x,y) is said to be homogeneous…

Q: Find the local minimum value of f(x, y) = 4+ x³ + y³ – 5xy.

A: Explanation of the answer is as follows

Q: Can i get help step by step please

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Q: 3 Let f(x) = 8x° 1 df 15x - 5, x2 1.5. Find the value of dx at the point x= 2004 = f(7). %3D

A: Known fact: derivative of f-1x=1f' f-1x.

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

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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: 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: 10. Find y' with the implicit function below. 3(x² + y²)² = 100(x² – y²)

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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: Q3. Find local maxima, local minima, and saddle point of the function f (x, y) = x² + 2xy.

A: The given function is f(x,y)=x2+2xy

Q: The general solution of Besseal function is given by y = c,J,(x) +y,(x)

A: Given statement, The general solution of Bessel function is given by y=C1Inx+ynx

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 L(x) of the function at a. f(x) = Va, a = -8 L(x) =

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Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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

A: We have to find linearisation

Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: 3 xf(x2)dx df(x) dx = -9, find If f is continuous and 0

A: f(x) is continuous

Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 11,x2, 2 0 Using Lagrange…

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

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Q: f(x) = Ae (x-b)2 2a2 - f(x) z e° ze-x²

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Q: Find the relative maximum and minimum values. f(x,y) = x° +y° - 3xy

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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: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

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: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: Find the absolute maxima and minima of the function on the given domain. 6) f(x, y) = 6x + 5y on the…

A: f(x,y) = 6x+5yfx(x,y) = 6     fy(x,y) = 5  (Hence No critical points of the function itself)Lets…

Q: Find the highest point, low point and saddle point (if any) of the f(x, y, z)=3x² + 2xy + y²

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