Örnek : |z – 2| = 1 C eğrisi üzerinde I = f. cos z dz z(z²-2) - integralini hesaplayın.

Q: Calculate the double integral. 6x/1+xy dA, R=[0,6]x[0,1]

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Q: (b) Find upper and lower Riemann integrals of f on [-1,25]. (c) Is ƒ Riemann integrable?

A: Upper Riemann integral Lower Riemann integral is

Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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Q: foz Evaluate the integral: 5x sec (x) dx +C

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Q: What is the total differential dW given W- In(x+y +z')?

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: /4-z² Rewrite the integral , L2 S* f(x, y, z)dydzdx: as an equivalent iterated integral in the order…

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Q: 22 Evaluate the line integral |F-ds where F= 2xyi +(x-y')j and C is (a) y=x from (0,0) to (1,1) (b)…

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Q: Use symmetry to evaluate the double integral. Ja+ (1 + x8 sin(y) + y sin(x)) dA, R= [-π, π] x [-π,…

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Q: Find the area of the part of the eircle r-4 sin that lies within the sector 0 50s 87 -2/3 3 + V3 3.…

A: It is given that,r=4sinθ, that lies within the sector 0≤θ≤π3we have to find the area of the part of…

Q: polar integral rIn 2 V(In 2)²–y² x dx dy c) dx dy

A:

Q: Use symmetry to evaluate the double integral. 2xy J63 JR 1 + x ,10 dA, R = {(x, y) | -4 ≤ x ≤ 4,0 ≤…

A: Consider the given double integral, ∫∫R2xy1+x10dA, where R=x,y-4≤x≤4, 0≤y≤1. Consider the integrand,…

Q: 22 Evaluate the line integral F-ds where F = 2xyi +(x-y')j and C is (a) y=x from (0,0) to (1,1) (b)…

A: You asked to solve Q2 that is question (b).

Q: Apply Green's Theorem to evaluate the integral (-5y² dx-5x² dy), where C is the triangle bounded by…

A: greens theorem

Q: Set up an iterated triple integral equal to | = √√3 √3-x² √√30 x²+y² 3 √2-√4-x²-y² 2y dz dy dx…

A: The given problem is to set the given triple integral in Cartesian coordinates to convert into the…

Q: sin(7y), 8x2+7x°cos(7y)). vative servative n of the parabola y=x2-16 from (4,0) to (-4,0). Which of…

A: We have to choose the option

Q: evaluar la integral donde C es el circulo de rotacion positiva  de e^z/1 -cos(z) dz donde C es |Z |=…

A: Consider the given function  fz=ez1-cosz

Q: Evaluate the double integral (x +y)² sin(x – y) dA for R, which is square with the vertices (0, 1),…

A: Consider the given integral and construct a diagram based on the given conditions.

Q: Use Green's theorem to find the line integral of 2x dx – 7x2 dy counterclockwise around the triangle…

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Q: 9. Given the integral -1 (2-2y (3--3y V = z dzdxdy find an integral for V of the form: SSS z dxdydz…

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Q: 5. Calculate the double integral f, 2x cos(xy) dA , R = [0,2] × [0, 7]

A: We need to compute the value of the double integral ∫02∫0π2xcos(xy)dydx. Since, this is simple…

Q: 16. Let D-((, y, z):05zs2, 0≤ y ≤1, 05:5z+y). Find the triple integral: 72xy³ dv.

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Q: U(t) (iii) U (x) =- is a solution of Voltera integral equation Vx = ] o Vx-t dt

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

Q: (a) Solve the line integral yzdx - xzdy + xyzdz on a particle that moves along the line segment from…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

A: We have to find the integral

Q: Calculate the double integral. 7x sin(x + y) da, R = [0, * [0, =]

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Q: Evaluate the iterated integral. 27 1²th I 729- y dx dy = 27 1.² 1. 729-y² y dx dy

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Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

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Q: 2- 3- Evaluate the integrals in Exercises [² dx L₁3 3 dx 3x - 2 dy 1- 2. S sec y tan y 2 + secy

A: We can answer all the three questions as below.

Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

A: Linear integral of Differential form

Q: S Prove that £{cos(at)} = est cos(at)dt s² + a² integrating by parts twice and the evaluation of the…

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Q: 2 V2y-y2 a 15. Evaluate the integral x² + y²dzdxdy by using cylindirical coordinates. 0.

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Q: VT VT "cos(x?)dxdy? What is the reversed order of integration of "y O a. cVT X cos(x²)aydx 0. O b. V…

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Q: Integrate f(z) = counterclockwise around the unit circle, usin %3D 28 – 9.7 - Cauchy's integral…

A: Given function is fz=1z8-9.7 and the contour is the unit circle oriented counterclockwise.

Q: What is the integrable form of et dr? ex – e -x [(1-u²) ² du O Swi-) - 1) 2 du (1- " (D 2 du

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Q: Use Green's Theorem to evaluate the line integral |(y - x)dx + (2x - y)dy Ic

A: Put the value of x and y and then simple integration.

Q: Use Fubini's theorem to compute the double integral f(x, y)dA where f(x, y) = sin(2x) cos(2y) and R=…

A: To evaluate ∫∫Rfx,ydA where, fx,y=sin2xcos2y and R=0,π2×0,π4

Q: Evaluate the triple iterated integral. 2 2 2 xyz dx dy dz of Jo

A: Given that ∫02∫02∫-12xyz5 dxdydz

Q: Determine the line integral of the differential form (x + 3y²)dx – (-6xy + z)dy from points (1,0,3)…

A: Let us consider the Curve C which is parameterized by r(t)=(x(t),y(t),z(t)), a≤t≤b ∫CP dx+Q dy…

Q: Use Green's Theorem to evaluate the line integral. et cos(2y) dx 2ex sin(2y) dy C: x2 + y2 = a?

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Q: Estimate the error if cos vt is approximated by 1– in the integral J cos vt dt. 2' 4! 6!

A: For the given  Cos t = 1-t2+t24!-t36!+.... error is estimated as shown below

Q: rea bounded by the small loop of the limaçon r 1 2 sin e is given by finite integral

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Q: İki noktalı Gauss kareleme yöntemini kullanarak 2 8x? -dx integraline yaklaşık değer bulunuz. 1+16x4…

A: We have to Evaluate the integral ∫-12128x21+16x4dx by using two-point Gaussian quadrature rule. As…

Q: Use Green's Theorem to evaluate the line integral below. √ (x² − y²) dx + 7xy dy C:r = 1 + cos(8), 0…

A: Given integral is ∫Cx2-y2dx+7xy dy where C: r=1+cosθ,  0≤θ≤2π To Use: Green's Theorem to evaluate…

Q: Approxinale whe enlerral Su Jx cos xdx with n=f use frapezoidal rule G) use sim pron's Rele b)

A: a).   From the given problem:   ∫14xcosxdx ; n=6   As we know that the expression for the…

Q: cosz-sinz dz with C:|z|=2 using Cauchy's integral formula (zti) Evaluate '

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Q: 2 V2y-y2 Evaluate the integral x²+ y²dzdydx by using cylindirical coordinates.

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: integrals in the order dædzdy 11 x2 1 | s(e;y, z)dydzdr

A: Please refer to the image below

Q: Ssinx Losxdx X. a) vse u=coS X Esie to evalvale %3D b) Vre V=Sinx to e valvate %3D

A: