Show that Z, dv=2010 %3D if B= 2) : -1 Śn s3, ISySY,e

Q: an integrating factor for the DE dy+ydx=e3x dx is  1)ex 2)x2 3)y 4)x 5)ey

A: To find an integrating factor for the DE dy+ydx=e3x dx

Q: dy sec (re ), y(In 4) = 3 / t dt

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Q: Evaluate L e* dx dy by using trapezoidal and Simpson's rules.

A: Given that, ∫02∫01ex+ydxdy By trapezoidal rule, ∫abf(x)dx≈h2f(a)+2fa+b2+f(b) where h=b-an…

Q: Show for Re(z) > 1 dx = r(2) ((2). et - 1

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Q: Evaluate f S S," x dz dy dx

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Q: fm üli f (x,y,z)=x'+x*y *z ' + yz ?

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Q: If f(x) = xe , x >0 and (Y = ln(X)), then the PDF of Y is %3D (In(1)² (In(y))e ye

A: Answer: ⊙ ey-12e2y

Q: Show that S f(x,y) dy dx = , f(x,y) dx'dy. %3D

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Q: Find S (x + In y) dydx

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Q: Use the trapezoid rule withn=4 to estimate dx . Answer must be in fraction.

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Q: Can i get help step by step please

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Q: Compute /. x² dx dy dz, where E = {(x, y, z) : x² + y² < 1,0 < z < 1}.

A: To evaluate ∬∫Ex2dxdydz, Where E is the region E=x,y,z:x2+y2≤1, 0≤z≤1.

Q: 3 If y= Vx (x-1), find dy (Use rules, not a de finition XP

A: Given:         y=xx-1       dydx=ddxxx-1    Apply product rule:         ux·vx'=u'(x)·v(x)+u(x)·v'(x)…

Q: dy for y= In(In(2r')) dt

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Q: Evaluate Si S dz dæ dy 0. 4.

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

Q: A cylinder of radius r and height h has volume V = nr 2h.(a) Use the Linear Approximation to show…

A: Given: A cylinder of radius r and height h has volume V=πr2h a)  show:  ΔVV≈2Δrr+Δhhb)  Percentage…

Q: Reverse order, then integrate SaE ) dydx. Vx \1+

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Q: Let z=e"In(xy), determine dx

A: Solving the problem by doing partial differentiation.

Q: xy dx+ (xsg'4y)dy=o suiteble integrating factor and then, exact dfferential equchoms end generel…

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Q: Given that S" 4Væ dx = 152, what is fo*4Vt dt ? 3 )

A: As we know that;  the value of definite integral will not change if independent variables changes,…

Q: Question The approximation of fxln (x + 5) dx using two points Gaussian quadrature formula is:

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Q: COS f(2, Y) af af dy f(x, y) = log, (3x) af %3D fe dy

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Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

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Q: b) Calculate dx for n = 6, using Trapezoidal rule. 1+x5

A: Trapezoidal rule:   where

Q: What is the integrating factor of the linear DE of order one ydx + (3x - 2y +5) dy=0,

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Q: Show that the antiderivatives are equivalent.                                                     ∫…

A: To show that ∫3x21-x6dx = arc sin x3+C Substitute  u = x3. Then                  dudx=3x2du  =3x2dx…

Q: Evaluate 2Sin x´dx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

A: i)Given:        ∫242sinx2dx   Mid-point rule:       ∫abf(x)dx=∆xfx0+x12+fx1+x22+fx2+x32+...…

Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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Q: 2. If f(x,y)= te Vy of=D0 then show) that 49 c) of af =0 dxay

A: Consider the given function. fx,y=1yex-y24y (i) First, we have to show that ∂2f∂x2-∂f∂y=0. First,…

Q: dy %3D xp

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Q: If f(x) = – x Find: S",(f(x))² dx That is find S"(: ,(1 - x)?

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Q: If y =Aex +Be™ d'y -(m+n) dy. Show that + mny = 0 dx

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Q: Vēt VE dt

A: Our Aim is to evaluate the integral given below:-

Q: Eval S fCx,y,z)dV Por f auel regien W M, fory2)= 2x W: x'+ y? < zs 4

A: The region W : x2+y2≤z≤4, and f(x,y,z)=2x, we have to evaluate the value of ∬∫Wf(x,y,z)dV.

Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: S dy S f(x, y)dx

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Q: Find the total differential. z = 5x3y8 dz =

A: The solution is:

Q: Find the G.S.of the DE. (ytu dy=D0

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Q: The Integrating Factor for the DE y dx = (ye' – 2x)dy %3D is: -2y レマ None of These 2y

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Q: Revers the order and Evaluate= s dx dy y

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Q: Q3/ Evaluate 2 vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

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Q: Sv? – 1),/y dy

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

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-8)dx…

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Q: dy Find if y = In|9 + x|. dx

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Q: Find the most general antiderivative. 4 dx

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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: S 6 ttan t dt = %3D dx Jx

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Q: If y = tanu, u =v--, and v= In x, dy at x= e? what is the value of dx

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