Given f(x, y) = 2a° + 5æ?y – 3y?, find %3D f-(x, y) = %D f,(x, y) = %3D fza (t, y) = %3D fzy(t, y) = %3D

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A: Convolution theorem of Laplace transform    Laplace transforms of the functions Inverse Laplace…

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A: given y=∫0u9+10t2dtTo find: dydu

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Q: Q/ find the dy when y = (x+z)= リ=(メ+2)mx, %3D 2x Qul Fird dy すく e y= ノ

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Q: Given: y = f(u) and u = g(x), find dy/dx: %3D a) у %3D сos u, и%3D—х/3 -x/3 u = b) y = tan u, и 3D…

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Q: Given z = 11sint + 18 and y= 11 cost + 45 (*) da %3D dt (i) (**) dy (0) dz %3D

A: Given that, x and y are parametric functions

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A: Topic = Derivative

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A: Given y=x3+1evaluate dydx using delta processSolution fx=x3+1 dydx=fx+dx-fxdx  dydx=x+dx3+1-x3+1dx…

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Q: (e) dy if y = (t +1)(t + 9) %3D dt It%3D3

A: Given that y=(t2+1)(t+9)

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A: Given equation, V=13πr2h                          ...(1)

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A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

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

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Q: dz at (u, v) = (1,1) if du Use chain rule to find -z + 1);), = x = 3u – v², y = u® z = x sin( (y? |…

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Q: i x Jl plaly da :J,I Ji ull rcos(@), y=rsin(@) التكامل e-(5x2+2y) dxdy

A: We have to use integration using changing the rectangular axis.

Q: d?y e. dt? dy + 4y = 8t – 10, y(0) = 1, y'(0) = 75 %3D dt 2

A: As you asking multiple questions so I answered only first

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Q: Given z = 2 cost +35 and y= 9 sin t da dt dy dt dy dx %3D %3D %3D

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Q: dz Given z = 4x? + y²,x = sin t, y = t², find - dt

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Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

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Q: given the differeutial equation dy=0 t. 2 ) Show that the difterentiul equetium is exact

A: Exact Differential Equation: Consider first-order ordinary differential equations written in…

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A: t+s=2s

Q: What is the interpretation of Vx'(t)2 + y'(t)² for a particle following the trajectory (x(t), y(t))?

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Q: Given z = 6t 45 and y= 36 sin t %3D dy dx dy da2

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A: Consider the provided differential equation,

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A: We have to find

Q: The linear approximation at I = 0 to sin(3r) is A + Br where A is: and where B is:

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Q: find the general solution of the dipperential ation given below. y+ 2xy -xe-r?

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