2.) / sec(x) tan(x) e®ec# dx

Q: Find y' for y = ecos x + tan-1(5x) + (5x² + 1) ?

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Q: -y = tanh" (cos e* ) ||

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Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: Recall that cos- arccos x. Find r1/2 e sin(cosx) dx. 0.

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Q: 3. Given the equation y = In(cos(x)): What is dx/dy? secx -seox -tanx -cotx None of the choices.

A: I am attaching image so that you understand each and every step.

Q: Recall that cos™ 1 x = arccos x. Find r1/2 a sin(cos a) d. 1

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Q: Find dy/dx for the following functi 5" + 5*y = In sin-1 e*

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Q: #1: Given: y = cos (x

A: Given trigonometric  function y=cosx-π2

Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.

A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits…

Q: (x tan x + In y )dx tan xdy + :0 y

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Q: (b) S¤(tan? #)dx (c) S cos(2t)e'dt (d*) S(arccos x)²dx (e*) S (1+ 3x)2 dx Hint: Check for a similar…

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Q: y' sin 2πχ 3Tycos 2πx

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Q: 2х —1 The value of| dx is 1+x-x, tan А. 1 В. О С. 1 D. 4

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Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

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Q: (T/2 cos® x dx Determine the reduction formula for cos" x dx and then find

A: Given, ∫cosnx dx∫0π2cos6x The reduction for the above integral will be,   ∫cosnx dx=cosn-1x sin x…

Q: Q8. Find e-t sin(v3t) dt (b) L-* [tan"" () (a) L

A: We have to solve given problem:

Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: 2- Find dy/dx for y = In(tan(2x2))

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Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: Use this information to evaluate 1 (1- e)| dx %3D x=1 et - 1

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Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: 3 T lavi cos x + sin x %3D

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Q: 4. Find when dx tanx a. y e, giving your answer as a function of y. b. y- In(xvx-1), x> 1 sinx-cosx…

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Q: following + (Co Sx) y Solve the Sin X dy tanx %3D

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Q: 1(y) = In(sin(cos(y²))) %3D

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Q: I. Find dy/dx in the following: 3. Y= tan (1+sinx)

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Q: X- A coshx + B in ha +13 Sin be +4e

A: Answer

Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: (a) Find dy for dx = In (3x – 2) (tan 2x) -

A: Explanation of the solution is given below..

Q: 2. Y=12-36x, Y'co) = 5, 2. dx and yeo) =S. YCx) =?

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Q: al equation sin(t) with y( solution for this hen t belongs to ||

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Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: ez² cos(z) dz .

A: In this question, we use the Cauchy theorem for f(z).

Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan 2x - 1, for x in…

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Q: 2T -TT Evaluate: S. (sin x + cos y)dx dy II SII 71I

A: Let give integral is equal to I

Q: tegral 1 -r³e"la0 cos²e ,² dr sin@d0 ¢ do = x 32πα x = ? %3D

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Q: If y=tan(arcsec/x), then dy/dx is x- 1 A 2(x – 1) sec2(arcsec/x) В 2x sec2(arcsec/x) D none of the…

A: We have to solve the problem

Q: etany) dy cos?(y)

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Q: Q3: Find lim,- (2 – sin –) إجابتك :Q4 For (3x³ – 5x) V2x+1 find dy/dx at x=0 إجابتك

A: Explanation of the solution is given below...

Q: 1. Find for, (x + y)* = tan-14x + T* dx InIny

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Q: In Va? + b² dx In x arc tan- Jo (x + a)² + b² where a and b are real.

A: We will prove the given identity by solving the integral using appropriate substitution.

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: S 4 cos (x) sin (x) dx = %3D

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Q: Find dy/dx of: x3 - sin y = (1/x3) + tan-1 (ey) - π/4 Don't simplify the final answer.

A: Given:     To determine:

Q: 3 Cos |X TT 13) y = 3

A: We need to plot the graph of given curve:

Q: cos (x-Inx) dady. at.

A: Here, from the limit of integration, the integral is bounded by x=1e,x=1y,y=1,y=1. Plot the curve as…