Q0 Integrate 2 from x? o to L x²_2 trapezaidal rule with four

Q: @ Consider the Funetion y= sinx t cosx on [0,3T1/2], use EVT to ind ab soluute mox min. %3D

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Q: Evaluate the iterated integral: dydx. /4 Jx²

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Q: ydy J-7-By-y

A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: To obtain an O (hs) approximation for an integral I using Romberg integration, we start by…

A: Given: The objective is to obtain an O(h8) approximation for an integral I using Romberg integration…

Q: Evaluate the integral. 5 cosh(t) dt

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Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: b) Estimate the integral esindx using composite traperoidal rule with h= 0.25.

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Q: Evaluate the integral. 10 sec 2(5t) dt J7+2 tan (5t)

A: We have to integrate the  I=∫10 sec2(5t)7+2tan(5t)dt

Q: Approximate the following integral using three-point Gaussian quadrature rule. 2 dr 1²–4

A: Gaussian quadrature rules evaluates the integral with higher accuracy. The three point Gaussian…

Q: Use the Simpson's Rule to evaluate the integral fx|x²dx 1

A: Given integral is ∫−11xx2dx. We have to evaluate the given integral by using Simpson rule. Here,…

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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Q: 3/ Find Valke of integral Sx dx

A: Value of the integration

Q: Evaluate the integral dydx 3. 1-X 2

A: Use polar coordinates for simplification of the given integral.

Q: dt /4+t²

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Q: 8. What domain D in space minimizes the value of the integral // (4x² + y^ + z2² – 4)dV

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Q: 7. ydx-xdy + xydy = 0 Ans: In²+ y = c

A: We have to solve differential equations

Q: Evaluate fz² In z dz using integration by parts 2 Onz-+ +c Oz-+ Onz-+c Oz² Inz - 2 + c

A: ∫z2lnzdz=∫(lnz)z2dz=(lnz)z33-∫1zz33dz+c=(lnz)z33-∫z23dz+c=(lnz)z33-13z33+c=(lnz)z33-z39+c=z33(lnz)-z…

Q: Compute the integral of f(x) = 0.4 – 2x² + 40x5 from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

A: Numerical integration

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

A: Given DE is 2x2xdx+ydy=8xdy-ydx..........(1) We have following formulae, dyx=xdy-ydxx2 and…

Q: Find the differential cquation a the (2.K) families af cirdes with center at and wi th radius r

A: To find: Differential equation of circle with centre 2,k and radius r. We know that equation of…

Q: 5) Set the iterated double integral ļ) dydx メモービ テ as Jady up

A: Please see the below explanation.

Q: Use Trapezoidal and Simpsons 1/3 rule to estimate integral ( - 2x° + 7x - 5) de.

A: The expression ∫13x3-2x2+7x-5dx. We have to use Trapezoidal and Simpsons 13 rule to estimate the…

Q: Evaluate the integral: ∫ t2 sec2(9t3 + 1) dt

A: The given integral is, ∫t2 sec29t3+1 dt. Apply the u-substitution by taking u=t3. Then dudt=3t2.…

Q: • Compute for the value of constant (C) by solving the given DE using integrable combination. Let…

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Q: sec =zydy

A: Given

Q: The improper integral 5dx is V1-x?

A: Since you have asked multiple, we will answer the first one. ∫015dx1-x2dxLet x = sin θ ⇒ dx = cos θ…

Q: Evaluate the iterated integral: dydx - 1/4 Jx2

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Q: Evaluate the integral į (1 – x– 4x° + 2x*)cx using multiple-application trapezoidal rule with n = 2

A: Given, fx=1-x-4x3+2x5 The trapezoidal rule to approximate the area:  ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+.…

Q: Find the integration of S ecosx dx using Trapezoidal and Simpson's Rules

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Q: 5. Apply the Composite Midpoint Rule with m 1,2, and 4 panels to approximate the integrals. Compute…

A: Concepts introduction: Mid point rule Assume that, the function fx is continuous on a,b and m be a…

Q: Lex+3y dxdy

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Q: Evaluate the integral f 2x ¡dx using the two-point Gaussian quadrature rule. 16 \\frac{2}{3}\)

A: Given integral is ∫−222x216+x4dx. We have to evaluate the given integral using the two-point…

Q: Set up UP the integrel the Pegioni Th bounded 2x2 and y =l+ x F(x,y) dA in by: y= 2x? 2. 4.

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Q: Evaluate the triple integral: 2 x (Iny (z) dzdydx

A: ∫12∫1x∫y2ln(y)zdzdydx=∫12∫1xz22y2ln(y)dydx=12∫12∫1xlny2-y4dydx Now,…

Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=2,…

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Q: 3. Evaluate JIJ 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: compute J secx dr. I n trying to integrate

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Q: Determine h and N to approximate the integral e- dt within an accuracy of G = 10-5 using the (i)…

A: ii)  Equation is f(x)=exp(-x2).The value of the table for x and y x 0 0.25 0.5 0.75 1 y 1…

Q: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

Q: Evaluate the integral fff, xyzdV,where: E = {(x, y, z)|–1 <x< 1,0< ys 2,1 szs 2}

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Q: Consider f dr. V1-16z² For the u-substitution u = 1 – 16x², which is the new integra 32 u2

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

A: Use by exact form

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=2,…

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Q: find the volue of the od specify ingrol integrol T-x2 the

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Q: Evaluate the integrals in ∫3 sec2 t/6 + 3tant dt

A: Given integral is, ∫3sec2t6+3tant dt

Q: Evaluate the iterated double integral. I 3 3y be dady A

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Q: Evaluate the triple integral [[Scosys3 12xy²z³ dV_over the rectangular box G define by the in…

A: We have to find value of given triple Integral.

Q: Calculate I dx n=LobysimPsons4) rule

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