Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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Q: lim (3x - 5) x--1

A: limx→-1(3x-5) = limx→-13x - limx→-15  [ lim(a - b) = lim a - lim b ]                         = 3…

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Q: S -1 etan 1+4t² 2t - dt

A: Let u=tan-1(2t)⇒dudt=21+(2t)2=21+4t2⇒du2=dt1+4t2 ∫etan-12t1+4t2dt=∫eudu2…

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A: This question is based on modulus of complex number.

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