3. Show that sinh a + sinh y = 2 sinh cosh %3D

Q: 9. t² cosh 3t 10. t³ sinh t

A: solution of the given problem is below using laplace transformation...

Q: Separate tanh-1(x+ iy) into real and imaginary parts.

A:

Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

A:

Q: Find the dervative: -1 y = sinh 2 dy dx

A: I have stated the used formulas in the solution

Q: and dr= %3D Solve for the differential of y When y=sinxx x

A:

Q: S" S"(sinx + cosy) dx dy

A: our objective is to evaluate the integration

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: arctan x Xe fel Xaresecx d

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Evaluate / x cos(128x)dx. Use capital C for your constant of integration.

A:

Q: can any thing said about the tengent to the curves y=sinmx and y= - sin(x/m) at the origion (ma…

A: Solution  Given

Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: A ( sinh x- coshx tanh e 6)

A: You all need to have the idea of hyperbolic and their basic calculus.

Q: Hiw proo p. s (sinh at) =_a s- at Notes at

A: Explained below

Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

A:

Q: e (sinh x dx + cosh x dy) = 0

A:

Q: Differentiate y= cosh Inx. A. sinh (In2x) B.-sinh (Inx) C. sinh (Inx) D. sinh (Inx)

A:

Q: S sin Vat dt

A: Let the given integral be: I=∫sinat dt

Q: dy +cosh 2y=0 dx 3. sin x ans: sinh 2y-2cosx3Dc

A:

Q: L{ e¬at sinh wt} =

A:

Q: y= sinh(2n)-글교 dy/dx gi

A: Derivative of sinx is cosx.

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

Q: 5. If cosh 2x then the positive value of 4 sinh 2r is

A: Here we will use the relationship betweencosh2x and sinh2x to find the value of sinh2x from the…

Q: ACTÍVITY 2: Differentiate the 1) y = -2 sin 2) s (t) = - WE

A: Apply the differentiation rules for the trigonometric functions to get the derivatives of the given…

Q: Differentiate h(y) = ln (3y) sin y

A: To differentiate the function  h(y)= ln(3y)sin-1y

Q: Find sinh + C sech V5 + C sinh () + C X. Cosh 5 O -1 csch--

A: Integral of the given function is -

Q: L{e-4t cosh 2t} L{e=t (3 sinh 2t – 5 cosh 2t)} -

A:

Q: -Tsin(nx)cosh(3y) dx + 3cos(7x)sinh(3y) dy =0

A:

Q: 4. The given equation sinh(xyz) = x+ y + 3z implicitly defines a differen- dz Find ax tiable z as a…

A: Differentiate of sinh(x) =cosh(x)

Q: d cosh z =sinh x dz صواب ihi

A: Use the formula of coshz and sinhz in terms of exponents.

Q: Differentiate y= 3-carhx tespect to X 6+ Sinh x

A:

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)8 = 26 sin (7)x cos(7)y dy/dx =

A:

Q: 8. [(cos'y- sin'y)dy

A:

Q: (g) y = Vtanh 3r (h) y= sinh(cosh 2.x)

A:

Q: 8) S(eax - e-ax) dx 9) S; sinh x dx 1+cosh x

A: Answer to question number 8 and 9 are as below,

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: 7 Find (b) x siny-ycosx-y 1.

A:

Q: 3.1.1 L sinh 3t dt

A: The Laplace transform can be obtained using the table of the transforms. The integral for the…

Q: 1:10 PM Wed Nov 24 Inverse hy perbolio AUTIVITY Oy = sinh (2x+-1) cosh Sza ☺ y= tanhB | -| /2

A: We have to find the derivative

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: 4. Differentiate y with respect to x. y = (In Vcosh3x)(sinh(2x + 1) ex+1)

A: The given function is: y=lncosh (3x)sinh-1(2x+1)

Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

A:

Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

Q: S sin Vz dx =

A:

Q: 9. (siny - ysinxy)dx + (xcosy-xsinxy)dy 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: 1- Cosh x dy + (y sinh x +e*) dx =0

A: