Let y=f(t) be as shown. Y ↑ (1,4) Show all work a) Express flE) in terms of the "switch". b) Find c) use L and fl to solve y'- 3y = f(t), Y(o) =- 7. Donot %3D use PFD. Clearly show all convolution calculations.

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + BỊ.

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Q: 9) Find the zeros of y = 9x? – 1.

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Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: DERIVE THE FF. FUNCTIONS: )y (x*+x+1)*: FwO y"

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Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

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A: Given: Here, the dependent variable is z, independent variables are x and y. And the type is a…

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A: For quadratic equation to be only one x-intercept , discriminant should be equal to zero.

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: Assume that the function y is defined implicitly as a function of x by the given equation. Use the…

A: Simply take the derivative of the given equation and simplify.

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Q: The change of the energy efficiency function ( P ) of a factory with respect to uj and u2

A: In this question, we have to find the maximum value for the two-variable function. Here we use the…

Q: dy 2) Find for each function: dx a. y= 5x – 7x² - b. y= Jx 1 y С. x² - 5 d. y Зх +1

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Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: The function y = Ce* + C2e-Sx is the general solution of a) Oy" – 3y – 10y = 0 b) Oy" + 2y + 10y = 0…

A: We have to find the differential equation whose general solution is y=C1e2x+C2e-5x .

Q: Q2: Given the function fa) = {(2,1), (,5), (5, lo)) fo, D(f) , R(fw). Find

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