Exercise.1 Find the roots for V8 and V-1 Exercise.2 Prove that cos- z =-In(z ± Vz2 – 1)

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A: Our Aim is to find the four values of t between -2π and 2π at which sin (t)= cos (t)

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A: Here given y=cos-1(z/x). We prove that zyy+z=0.

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A: Note:-  cosA-B =cos A cos B - sin A sin BsinA+B =sin A cos B + cos A sin B   Part (1):- Given that…

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A: Note:-As per the Bartleby expert guidelines for Answer the question is only one and if subparts is…

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Q: Hence evaluate

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Q: The complex exponential Fourier coefficients for the periodic function x(t)=t, 0<t<2 is:

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Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

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Q: The roots of the characteristic equation of (D2 – D + Dy3 0 are 11 = 2 + 3i and A2 = 2 - 3i.

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A: The given integral is e-3xsin(2x).

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Q: Find a fixed point of x=g(x)=}+}sin(3x). ||

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.