Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 = cos(t). A = fx ay = - fy ³x = 1² / f x dy dx x dy - y dx

Q: dy Find y or for the following: 2x y - 10 = x* + cos y dx

A: We have to find the dy dx

Q: y = In x3 sinx 2 Cx² + 4

A: The function is given by y = lnx3sinxx2+4 To evaluate: The expression of dydx.

Q: find dy/dx : y =3√tan3xx2

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Q: dy dx ytsinx I+ CoS X

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Q: d²y =? III. y = 4 sin t, x = t² = dx2

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Q: Integrate by parts the following: Se²x e2x sin(3x) dx

A: We have to find value of given integration. Let value of integration is I and sin(3x)=first…

Q: Find dy/dx. tan(xy) + x3 = y

A: Whenever any complex function like tan(xy) undergoes differentiation, the parent function is…

Q: dy for y = 3 sin-(x²). J. Find dx

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Q: Find 2. where f(x) = x'tanh2(Vx). dx

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Q: OSx. ta- x dx OS cot J dxe OSx cot dx -1 S cos' 5ã dx Sx cos dax Ssec x dx O Se dx 10 PSos (dx) dx

A: Given: Given integrals are , 4.∫x tan-1x dx 5.∫cot-1x dx 6.∫xcot-1x dx 7.∫cos-1x dx 8.∫xcos-1x dx…

Q: d (csc x) = -csc x cot x. dx Prove that

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Q: Q2: a) Find dy/dx for xy cot(xy)?

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Q: B: Find dy /dx 1- y tan2 (x² + 3x)

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Q: dy Find dx -1(In 8x*) y= tan %3D dy %3D dx

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Q: dy Find where dx y° sin(4æ) – 72° – y³ = 10 - dy dx

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Q: dy Find at x=0: dx y = (In(cos "x*) -1 COS sinh x %3D

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Q: dx = ( sin 2y – 2x cot y) dy is ? -

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Q: Find for y = tan(x) dy dz2

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Q: dx √₁²x²+² x²+2x+10 dx using Gauss-Legendre and Gauss-Chebyshev Quadrature formulae. 6. a) Evaluate…

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