Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. 7t *-=-~--~--~- - [ 2 ] × [ 0 ] . ^ [ f(t) = A x(t) = 6 37 6 - 37 sin t sint cost-6 sint cost+ 6 sin t

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A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: ƒ' (4) = If f(x) = 3√√√x(x³ − 2√x + 2), find f'(4).

A: Given that

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A: Hello, I don't understand what is the associated function you are asking. There are many associated…

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A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: Use central difference method to estimate the 1st derivative of the following function at x = 2 and…

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Q: If f'(x) = and f(0) = 2, then f(4)can be written in fully simpi %3D S(x)

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Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: x + + 8)(6y – 1) = 0 find the second derivative %3D

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Q: . Find the derivative of f (x) = (2x – 6(3x²+8). A. 30x4-54x2+32x %3D

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Q: Question 2 $-3ar* +2pr² h(r) 4r

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Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: Find f'(x). f(x)=(7x+4)(9x-3) f'(x)= (Type an exact answer.)

A: Given, .Rules of derivative:

Q: Find the indicated derivative for y=f(x)=9-x^2

A: Answer and explanation is given below...

Q: If  h(x) =  sqrt of 7 + 6f(x)  where  f(4) = 7 and f '(4) = 2,  find h'(4).

A: Solution is given below..

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly…

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Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: If f(x) = (5x +6) find f'(x). Find f'(3).

A: topic - derivative of a function

Q: Given f’(x) = 5cosx-16sinx    and f(0)= -1   Find f(x)

A: f’(x) = 5cosx-16sinx  We need to obtain the integral of this and satisfy the boundary condition.…

Q: Find f. Note that the coefficients and the constants must be exact values (no decimals).f^II (x) =…

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Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.

Q: (ii) Show that {Xt} is stationary.

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Q: The expression dy/dx = x(cube root^3 y) gives the slope at any point on the graph of the function…

A: Consider the differential equation dydx=fx,y with the initial condition yx0=y0. Substitute the…

Q: 1. 2 Vĩ-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…