129. y = ecos i dt In

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: 37. - dy y. dt

A:

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: EVaLuate W= X -*-cos't ,y=cost sint

A:

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

A: our objective is to evaluate the integration

Q: dy ion =1+y de uden Teul

A:

Q: tan (Int) dt

A:

Q: Would you use numerical integration to evaluate. Explain.

A: We have given a definite integral;

Q: L* dx 1 S Int dt

A: We will use the Newton Leibnitz formula

Q: Evaluate the integrals in Exercises

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: Find the total differential dz ZzxeX+y

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: te dt.

A:

Q: 9. Vy + dy 415

A: We will be using the given rules to evaluate the answer

Q: Find dy/dx, where xsiny +ysinx=1.

A: Given - xsiny+ysinx=1 To find dydx Here we will use the following formulas- ddx(uv)=udvdx+vdudx…

Q: The exact differential of excos y

A:

Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

A:

Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

Q: S sin Vat dt

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

Q: 5. – 3t te dt

A: The given integral is: I=∫t e-3t dt

Q: 8. Use differentials to approximate the change in the volume of a cylinder if the height is…

A: Let's find.

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: 2 Evaluate the inteyral. dx dy dz taken. throughout the volumeofsphere 23=

A: We have to solve given integral:

Q: d - In(u²) dt dx et

A:

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

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

Q: Differentiate. Inx y= 3 dy dx

A:

Q: If y- sinhx then prove that dy dx

A:

Q: Verify the integration formulas in Exercise

A:

Q: ex/Eveiluene the fallowing integrels 21/dx XInx

A: The given integrals are 1. ∫dxx1-x2. ∫dxx ln x

Q: Jrin m In(cos m) dm

A:

Q: 2sin(y)cos(y) sint(y)+costy) dy

A:

Q: (g) sin vt dt.

A: Intigrating the given equation.

Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

Q: 16 Iny dy

A:

Q: Differentiate. In x y = dy dx

A: The quotient rule of differentiation is, ddxfxgx=gxddxfx-fxddxgxgx2. we have the differentiation…

Q: 16 Evaluate ſ," x²In 3x dx correct to three decimal places.

A: Given- ∫12x2ln3x To find- The value of the above integral. Concept Used- The above integral can be…

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

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: Differentiate. y=de* +6 dx

A: Given y=ex+6

Q: Integrate x?dx

A:

Q: Uje differential to estimate V32.02 correct to 4 decimai places.

A: Given : 5√(32.02)

Q: 3 S S t² etu du dt

A:

Q: dt #2. t Vt? – 16

A:

Q: er dy %3D sec da

A: The given differential equation is exdydx=sec y and the initial condition is y0=1. Solve the given…

Q: Find dt y = 31(21? – 5) $ dy dt

A:

Q: Integrate: Sx e* dx.

A:

Q: dy +Hanx Siny = I Cos y die

A:

Q: 12. Differentiate.   y=4/2−7x dy/dx=nothing   Enter your answer in the answer box.

A: