Question 4 If z fx, - Ax, y) = x* - xy – y°, find the differential dz OA dz = (2x - y)dx + (-x – 2y)dy O B. dz = (2x + y)dx + (-x – 2y)dy OC.dz = (2x – y)dx + (x – 2y)dy O D. No one correct. OE. dz = (2x – y)dx – (-x – 2y)dy

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: 9. (2xy + x² + x4)dx = (1 + x²)dy = 0 2 -

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Q: \lim_(x->\infty )(e^(-x)+2cos 3x)

A: See the answer below

Q: dy Find if y= dt 1 2 u+u and u = 9+ 5t.

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Q: а. 3(х + 1)2

A: Given that : The equation is y = ( x + 1)3 .

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: Evaluate cex-y) dx + C (x+3Y) dy C:xaxis from (0,0) to (0,-3) and 0-3) to (5,-3).

A: To Evaluate: ∫C2x-ydx+x+3ydyC: x-axis from 0,0 to 0,-3 and 0,-3 to 5,-3.

Q: y² (y + 2)ï dy

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Q: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: Differential Calculus:

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Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

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Q: Determine dy if y=2e +3 da dy da = HP

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Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

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Q: Find dy dx dy dx if y = = x³ + 4x + 7 x² + 1

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