e* – e-* 9. S ex +e-x dx ,(do not use Hyperbolic tangent)

Q: 9. cosh x + sinh x= e* %3D

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Q: integral (cos(x)^1/2)dx

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Q: s sec(cosx) dydx siny

A: Given : ∫01∫sin-1yπ2 sec2(cosx)dydx

Q: 9. cosh x + sinh x = e* %3D

A: To Prove,                cosh x+sinh x=ex

Q: S Jiet'. dt Hint: use +he fundam ental theorom Find dy if dx y = of Calculus

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Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: cosh z sinh dz (cosh z+3) 2.

A: To evaluate the given integral.

Q: ential equati x²y dy = C

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Q: ntial equation dy 1 x>0 + 2y = 1- dx

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Q: cos^2ydx+(1+e^-x)sinydy=0

A: The given differential equation is cos2ydx+1+e-xsinydy=0.

Q: (7) coshx + sinh x = e* %3D

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Q: dy x COSY dx - siny=0 6 xcos)

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Q: terentiation 2 2 Find dy if y=x'+ sinxy 1.

A: Since you have asked multiple questions, as per the guideline we will solve the first question for…

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

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Q: -IVEN DIFFERENTIAL EQUA quation 1) dx + (x -u) du = 0

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Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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Q: -siny(x + siny)dx + 2x²cosydy = 0 %3D

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Q: e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if…

A: Here, fx=exsin3πxx2sechx-23

Q: a) y = In x · sinh x*

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Q: sinh (u+v)=sinhycoshr+ coshuxsinhv

A: Use hyperbolic function

Q: 4In(Arctan x) = 1-y

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Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

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Q: Fintsh Line

A: At a certain moment, a race official is watching a race care approach the finish line along a…

Q: uy constants. Show that lim,y(t) = 0 for every solution of this equation.

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Q: siny dle = (1-x cosy) Cas y

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Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

Q: a. Find a curve with a positive derivative through the point (0, 1) whose length integral (Equation…

A: Given  Arc length L=∫121+1y4dy Know L=∫ab1+dxdy2dy

Q: +(g-1)dx -t +(2xy-Siny]dy=o

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Q: Sinhx cosy dx = coshx siny dy

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Q: y = Arctan (sinh x)

A: dydx=ddx(arctan(sinh x))

Q: dy Use implicit differentiation to find dx 4 3 x'+y = 3x+ 6y` dy dx (Type an exact answer, using…

A:

Q: dx sinh x + 2 cosh x

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Q: ope of the curve 2xy = In(e*) sin(x)

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: 1+iz : If w = Find the im age of z|<1. 1-iz

A: Let the transformation be f(z)=w, in which x-y plane is converted into u-v plane.  Where z=x+iy and…

Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

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Q: 2 *sinh“ x – sinh x+ cosh x dr -dx cosh¯ x

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Q: dy by implicit differentiation if x° + 5x tany = e. %3D Find dx dy dx

A: In implicit differentiation, we need to differentiate each side of the given equation with two…

Q: 2 Find the tangent to y = Vx - x+4 at x = 1. 2 The tangent to y = /x - x+4 at x= 1 is y =:

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Q: Selve following differential equa Hun the x*y dy

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Q: sech x+csch x Q3: prove that e2x %3D csch x-sech x

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Q: integral cos -1 x dx

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Q: sin x dy (1 + y) cos x + sin x If y=- , prove dx %3D cOS x 1+2y + cos x-sin x 1+ sin x 1+ 1+ cosx 8.…

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Q: (siny - ysinx) dx +(cosx +xcosy) dy =0

A: We will use the method of exact differential equations.

Q: a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation…

A: To find curve satisfying the given conditions.

Q: FINO THE PARTICUCAR SOUTUON OF THE DIFFERE NTIAL EQUATION -スx =e + hx t子x-9 dx² -2x dy e AT X=0,9=0…

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Q: Partial Differentiation a2z 1. If z = e* sin y + e³ cos x, verify a²z = 0 ду?

A: