f(x, y) = xsin²y + y² cosx, Find fxy a. sin² y - y² cosx b. 2xsinycosy-2ysinxcosy c. 2sinycosy - 2ysinx 2siny2sinxcosx d.

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

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Q: find af/ax and af/ay

A: f(x,y)=cos2(3x-y2) Now we take derivative When we take derivative with respect to x , we treat y as…

Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: Calculate fxxyz for f (x, y, z) = y sin(x + z).

A: We first differentiate the given function with respect to x twice. Then y and z will be treated as…

Q: fyx if f(x, y) = sin(xy) + x² In y

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Q: (D³ - 3D2 + 9D + 13)y = 0

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Q: Evaluate r(2) and r(-1) for r(t) = (sin 1,12, (1² + 1)~1). %3D

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Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²* sin(5y)j + z5k. f(x, y, z) =

A: The given gradient function

Q: Q NO3)IF y=Jsinx + Vsinx + Vsinx + . then show that(2y-1) = cosx .And Also Find dx (5vcosx) dx

A: Our objective is to find the derivative of above functions.

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: lf f(z, y) = 5ery + 1 sín (inr + y) + 2r + 3y, find-a-,-,-and

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: Find fyæy for the function f(x, y) = x² cos(y) +3\/y+ Vy + + Vy? + 3.

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Q: Find V (V x F) if F(x, y, z) = 8 sin xi + 6 cos(2.x - 3y)j + 7zk. %3D | V. (V x F) =

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Q: Find f if f(x, y) = 2y y+cos x 2ysinx y+cosx 8 ysinx (2y + cosx)² B ysinx y+cosx 4 2 !

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