d 27. dx ], cos t dt

Q: (3 csc² t - 5 sec t tan t) dt

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Q: 2T 26. cos e de

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Q: Find d2y/dx2 for the following functions: b) y = cos*(sec? 3x) 4 = COS

A: We are given : y=cos4(sec23x) ⇒dydx=4cos3(sec23x).(-sinsec23x).2sec(3x)sec 3x.tan…

Q: dy If dx = COS s 2x, then what is y?

A: The derivative is given by dydx = cos2x                         ........(1)

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

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Q: 9/2 dy dx

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Q: | 2xe -x dx =

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Q: Classify and Solve dy cos x +y sinx = cosx dx

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Q: d sec*t dt dx.

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Q: Differentiate R (t) = (sint, te, cos 2t).

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Q: dy If y = sec? Va then dx

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Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: derive 8t sin t (d) s %3D cos t t5

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Q: Find II. | arctan 4t dt

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

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Q: dy 1 dx sec?y

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Q: 1 -dx. J x2 + 2x +2

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Q: • Evaluate y cos (r") dæ dy

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Q: (5a.4) dn 1 (2,2) (a?-x +1

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Q: Cos (Jx) dx

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Q: Evaluate: Jx?cos(2x)dx

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Q: Evaluate sin 2t dt. t 8.

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Q: +cos x dx =?

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Q: find dy/dx in two ways.. a) by differentiating implicitly & b) by explicitly saying solving for y…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

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Q: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…