dw Find or when r= 6 and s = - 6 if w = (x+y +z), x=r-s, y = cos (r+s), z = sin (r + s). %3D

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A: option (c) is Correct

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A: given x=cos2t and y=cost interval 0&lt;t&lt;π  dx/dt =d/dt(cos2t) dx/dt=-2sin2t And dy/dt=d/dt(cost)…

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A: We can find the answer as below.

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A: Topic:- integration

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A: d/dx(uv) = vdu/dx + udv/dx  d/dx(u/v) =( vdu/dx - udv/dx )/ v^2  d/dx(u+v) = du/dx + dv/dx

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A: To find the derivative of the given function

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A: The solution is given as

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A: to find delw/delr at r=8, s=-8

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A: Note:- As per our guidelines, we can answer the first part of this problem. For the remaining part…

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A: To find the approximate guess for the particular solution.

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A: using formula for first derivative of trignometric function

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A: Solution:

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A: We find the Laplace transform

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A: We need to plot the graph of given curve:

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A: Differentiating the equation and try to eliminate variable to form differentiation equation.

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