Use stokes theorem to evaluate F. dr. where F(x,y,z) = -5y³i+5x³+2tan¹(2²) and C is the trace of the cylinder x² + y² = 1² in the plane 1x + 5y + z = 9: O 20.907644901923447 O 22.129844901923448 O 25.904444901923448 O24.673174901923446 O 23.561944901923447

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A: Please refer to the solution in next step.

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A: Please refer to the solution in next step.

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Q: 5. 7s² + 5s + 13 (s² + 2)(s + 1)

A: Note: According to the guidelines we are allowed to solve one question at a time. Please post rest…

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Q: ,determine the general solution to the given differential equation. Q. y′′′+10y′′+25y′=0.

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A: Note: According to the guidelines we are allowed to solve three subparts at a time. So please  ask…

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A: Note: '' As per guidelines we will solve first three subparts. If you want any specific subpart to…