A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to 18cm. What is the maximum possible area for the triangle

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A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

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A: I am attaching image so that you understand each and every step. Here "c" is integration constant.

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A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

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A: Solution is here

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A: lim   16x2/4x x -->∞   lim   4x/4x x -->∞ = 1

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Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

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A: Topic:- geometry

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A: We have to solve the integral

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A: Given that Cartesian coordinates (x,y,z)=(3sqrt(3),-3,-8).

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A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

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Q: 5 Let f(x) = 5x + 3x²³² + 1 and g(x) = 3x²+2x+1 in 27 [X]. Determine the quotient and remainder upon…

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Q: (b)show that: I(cosh at cos at) s*+40*

A: Solution is here

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A: The given function is f(x)=4x2-8x+3x2+x-12

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A: given r=-2+3cos∅   it is the equation of limacon.

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A: Given :∫cosxcos4xdx

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Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

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A: To identify the family of curve.

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A: The given differential equation is;  xdy/dx =xtan(y/x) +y.

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A: Graph :

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A: answer is in next step

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A: Given query is to find the slope of the line.

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