Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work Submit Question

Q: If f(x)=5(sin(x))^x, find f'(2).

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Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

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Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: Find f'(r) if f(x) = %3D 2r + sinr

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A: The given function is fx=-5x2-2cosx.

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A: y=xcos5x-sin2x Differentiating with respect to x, we get…

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Q: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

Q: 8. f sec² (3x - 1) dx

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Q: y^(29) for y=-cos(x)

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Q: If f(x) = 6(sin(x))ª, find ƒ'(3).

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Q: S(x)= cos' ( (2x)). -cos? sın Show that f'(x) =-6 cos" (sin(2x)) sin (sin (2x))cos(2x).

A: Given, the function f(x)=cos3sin2x. Then we have to show that f'(x)=-6cos2sin2xsinsin2xcos2x.

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

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Q: f (x) = (coshx)4* Find f'(0)

A: We have to find the following

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: y'=sin (x) +8x3, y(0) = 2

A: y'= sin(x) +8x3 y(0) =2  Need  to solve initial value problem

Q: 3. Solve the following differential equation using the Method of Reduction of Order. Use…

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Q: dy x²-3xy² Given = dx 3x²y-6y²-1 determine the function f. and f = f(3xy² - x²) + g(y); y = constant

A: Mdx + Ndy = 0 ----?(1)is exact,

Q: Find f', given f(x) = x sin5 (x4) √x+1

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Q: f(x)=sinx/x  ,  c= π/3 what does f'(c)=

A: Given,