Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. g(x) = -√√9-x² -2≤x≤3 Find the absolute maximum value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute maximum value occurs at x = 0. (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) B. There is no absolute maximum.

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A: 1.the formula of derivative of two function is fg'=fg'+gf'

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A: We have to express dwdtby using the chain rule:

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A:

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A:

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A:

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

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A: SOLUTION-

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A: We can solve the given question as below.

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A:

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A:

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A: Follow the procedure given below.

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

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A: Topic = Sequence

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A:

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A: SOLUTION-

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A: Given, g(2)=3 , g'(2)=-2, h(2)=-1 , h'(2)=5, f(x)=g(x)h(x)

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A:

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Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

A:

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A:

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Q: below F(x) = 1.) lim f(x) = X-3 x-3 x² +1 4x + 5 2x² - 1 if x 3 2.) lim f(x) = X-0

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: 18) lim xcos X

A: limx→∞xcos1x

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A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

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A:

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A: Here we have given a function : ⇒x5+y2cosx2z3=7xz+exz2 So for calculating ∂z∂x, y will be treated as…

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A: Let's solve given integration.

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A: ∫x2-xdx

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A:

Q: Q1: Find the for the following functions: dy dx 1- y = e(x+In 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh…

A: 1)y=ex+ln(5x) 2)y=cosh-1sin2x 3)y=xsinhx

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: This question is related to Functions, we will solve it using given information.

Q: 3.§ sin* 2 x sin 4 xdx

A:

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A: Evaluate the integral equation by integration by parts .

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A:

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A:

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Q: Given the differential equation y²dx + (3xy + y² − 1) dy = 0 What is value of SM ? dy

A: Given the differential equation, y2 dx+3xy+y2-1 dy=0To find the value of δMδy.

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A:

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Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential