ped dQ + kQ = pgh A dt A

Q: Let F(x) Vt2 +3 dt. Find 1.

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Q: (a) F(3) = (b) F'(3) = (c) F"(3)

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Q: VE In t dt

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Q: 1?ei dt

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Q: Show that kT| e-t²/kTdt = (kT)3/2 " 0. 2

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Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: dP Pt, P(1) = 3 %3D dt

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Q: Find dx dt da dt at x = 5 if y=-x² - 1 and dy dt 1.

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Q: Let x+y = 100,if dx dy = 2, find dt when y-6 and x-8 %3D

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Q: () Find the solution that satisfies Y(0) 1

A: We will find out the required solution.

Q: y? what is dt/dy? 2y +1 if t =

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Q: Evaluate. b a 2e³t dt

A: Given Integral

Q: Solve PV = nRT for T. nPV AT RI PV B nR CT=PV - nR DT=NPVR

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Q: (5) 4 5₁ √t In Lt) dt =

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Q: 4x Let F (x) = S dt. Find F" (x). %3D 2+3

A: Given: Fx=∫04xdtt2+3 we know that by fundamental theorem of calculus if gx=∫pxqxfxdx then…