Find d3f where f(x, y, z) = ln(x + y − z) + cos(x2y)

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: Compute for y = [x² + 2] y = 3 1 x2 dy dx x³ + 2x + 1 (x - 1)² 3 X

A: Given that a function  and we find derivative of this function with respect to x. Here we use…

Q: Let f(Vx)= 2x. Then f'(2) = -6 -4 6 4 8.

A: We need to substitution method

Q: Find an implicit general solution for the ODE dy/dx = [2(2y−x)] / (x+y)

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Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Let Find f(x) = y = f(x) = 5x + 18 cos x. d f(x) =

A: Given query is to find the derivative at indicated point.

Q: Find gyy when g(x,y)= (x/y)

A: Given function is Differentiating partially with respect to y, we get

Q: OLif f(x, y,z)=2exp(-5xyz)cos(15z) Find

A: Partial derivatives

Q: | x² J1(2x) dx , (use subsitution)

A: Bessel function in terms of series is Jn(x)=∑k=0∞ (-1)kk! γ(n+k+1) x2n+2k. We will prove the…

Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

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Q: (2y + √y sin x) dx + xdy = 0

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Q: Differentiate f (x) = (cos 3x)V* %3D

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Q: Find fur for f(x, y) = 7xe* y° sin (/x - 3x* +1)+9x°e"

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Q: Consider the function. y = (2x² + 1)³ (a) Decompose the function in the form y = f(u) and u = g(x).…

A: We have to find given decomposition and derivative of y.

Q: Find the derivative of y=x√x + 1. 1 dy = 2(x+1) ³ + √² ž √x+1 dy dx = dy dx dy √x+1+ dx = x √x+1 = =…

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Q: Find the convolution of fix) = sin bx, g(x) = exp(-alx), a>0.

A: Convolution: Let and be two piecewise functions, then the convolution of them is denoted and defined…