Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(r, y) whose level curves are solutions to the differential equation (4e sin(y) – 2y)dz + (-6z + e cos(y))dy = 0 F(1, y) :

Q: 17-18 Find the differential of each function. 17. Answer dy Answer dy a. y = tan √t sec² √t 2√t b. Y…

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Q: Calculate the differential of the following functions.

A: For a function fx, y, the differential df is evaluated as follows. df=fxdx+fydy

Q: y' = y tan x – y² sec x

A: a. The given problem is                        y'=ytanx-y2secx ; x∈0,π2

Q: If w= y(x- mz)i + yz*j + In XZ -1 k and f-w cos (xy-x) x* + m y find at point (0,2.-m): (1) the…

A: Given - If w = yx - mzi + yz2j + lnxz - 1x2 + mk and f = w ·cos-1xy - x2yj To find - At point ( 0,…

Q: tY"(t) + (1 – 2t)Y'(t) – 2 Y(t) = 0, Y(0) = 1, Y'(0) = 2 %3D

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Q: Find the differential of the function. H = x5y4 + y9z³ dH = Jdx + 1dy + 1) dz

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Q: Find the partial derivative. z = sin(2.a*y – 3xy?) az

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Q: Let y = f(x), where f(x) = (5x² + 6)1/3. Find the differential of the function. dy =

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Q: Consider z = f(x,y) = x2 + 3xy + e2y. Find the equation of the tangent when x = 1 and y = 0.   Find…

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Q: dy 3 If , x° + 2xy - y' = 11 find (2, 3) dx by Implicit Differentiation. (so take the derivative and…

A: We have to find the value of dydx(2,3).

Q: Find the differential of the function. y = V 4 + cos(0) -2 sin (0) dy V 4+ cos (0)

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