Sea C la circunferencia x + y² = 1 orientada positivamente, fig. 11.12. Use el teorema de Green para calcular ydx — хdy 11.8 EJERCICIOS DEL CAPÍTULO II 22 Curva orientada positivamente Figura 11.12. Ejercicio 11.14

Q: Al solucionar la siguiente ecuación diferencial de Cauchy Euler de segundo orden d'y dx? + 3xy' = 0…

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Q: Evaluate (zy yz + zz)dV [+] B {(z, y, z) | 0< z < 4,0 < y S 10, 0 <z< 4}. %3D

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Q: if z=xarctan(y/z), find ∂z/∂x at x=0, y=1, z=1

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Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: Calculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?

A: Find the parametric equation for the given curves.

Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: DA LTI systemis deseribed by the De E y+6y+8y=2x4). find hit),then find y(t). x(t) = tět to -2t %3D

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Q: SI. 1dV, where B = {(x,Y, z): 1 < x² + y² + z² < 4, y 2 0}.

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Q: L'équation 423 = In (e4% + 2ay) définit implicitement z comme fonction de x et de y au voisinage du…

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Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: // | *dædydzB = {(x, y, 2) =€ R® 0 <« < 1,0 < y < 1,0 < z < x} {(x, y, 2) =€ R° 0<æ < 1,0 < y < 1,0…

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Q: I (2² + u²) dt, min J =

A: LQR is a Linear Quadratic Regulator is a well - known which gives the optimally controlled feedback…

Q: x = e21 , y= 2cost+ 6sint parametrik denklemleri ile verilen eğrinin (1,2) noktasındaki teğet…

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Q: 12. Calculate the area and volume of a sphere knowing that the length of its equator is L = 12p cm.

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Q: 10 ft MeCrupx kenle x X LO tudent…

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Q: Y XY Student Weight (kg) 72 Height (cm) 1 170 2 172 70 3 158 60 165 73 4 180 85 6 195 98 7 183 78 8.…

A: We need to calculate the correlation coefficient for the given data, student X Y XY X^2 Y^2 1…

Q: (h) Ã(x, y, z) = yɛ, – xë, (i) Ã(x, y, z) = ex + ey x² + y?

A: For the conversion between cylindrical and Cartesian coordinates,  the z-coordinate is the same in…

Q: Evaluate S, y dv with E = {(x, y,z): 0 <x< 3, 0< y < x, (x – y) < z < (x + y)} %3D

A: Use triple integration

Q: Find the ic by using Least cost Method? Di Dz D3 Dy supply 10 20 %3D 15 12 7) 20 2, 25 14 16 18 15…

A: D1 D2 D3 D4 supply S1 10 0 20 11 15 S2 12 7 9 20 25 S3 0 14 16 18 15 Demand 15 15 15 10…

Q: 2. Express the a) altitude h and b) area A of an equilateral a) For h(s), use SY JOHK OBY JOHN G SED…

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Q: b) Use chain rule 1 - arctan u, where u = e* y =

A: Given y=1u - arctan u, where u=ex apply derivatives on both sides…

Q: I- EVALÚA LAS SIGUIENTES POTENCIAS RECUERDA ESCRIBIR EL PROCEDIMIENTO. MIRA EL EJEMPLO 32 = 3• 3 = 9…

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Q: Evaluate 3xz dV where E = {(r, y, z) | 2 < ¤ < 4, x < y < 2x, 0 < z < x + 2y}

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Q: Hallar el valor de J F · dĩ, donde 2) F(x, y, z) = xỉ+ yj +zk la curva C dada por las ecuaciones x²…

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Q: Euler's difFQ 3. (y()) =VZ Eq cal g'ral-2y cx ) =x (y (x )

A: Given differential  equation:-    y' - 2y = xy3        y(1)=2√2

Q: (1,1) S[3x*+5y+i(x°-y°)] dz along y=x Evaluate (0,0)

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Q: 2 Evaluate the fullowng cartesianntegrat changing theminte equivalent Pelarintegrals: Fー dxdy 2-

A: We have to find the double integral using polar coordinates.

Q: 10. Para resolver la siguiente ecuación diferencial: y" + 2y' + y = 0 con y(0) = 1; y'(0) = 1 Se ha…

A: The solution of differential equation is given by using Laplace transform and partial fraction…

Q: Differentiate the follo ear and non-linear. w +z =2 1. x +y- z= G X +v-

A: (i) First we differentiate the given equation with respect to x: xy+z=2⇒ddxxy+z=ddx2⇒y+xdydx+dzdx=0…

Q: 2. Ostain the geweval folu fion a. my = nxydx b. (@ x*+y') = {ry y' c. xy = Y(x* + sy) y' %3D

A: Given differential equation is as  my2=nxydx/dy  Note : without introduction of dy whcih cant…

Q: Exercises 41 and 42, evaluate (y – x) dx + (2x + 5y) dy. 41. C: line segments from (0, 0) to (2, –…

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Q: 2: Salve the fallowing differnilial eguitins Yx) =4 Hint: Riccati D-Eymtim.

A: Given equation is, dydx=12xy2-1xy-4x One solution is Y(x)=4.

Q: Exercise 2 y" – y = 0, y(0) = 2, y'(0) = -2 Exercise 3 ry" + 2y' = 0 Exercise 4 ay" – 4xy' + 6y = 0,…

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Q: A LTI systemis deseribed by the DeE ý+6y+8y=2x4) find hit),then find.y(t).if X(t) = te t>o. -2t %3D

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Q: Exercise.8 Find: P,(x), Pg(x), L, Pa(x) Pg(x) dx , LIP,(x)l² dx

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Q: eccione una: a. z=2(1+j) b.z=1/2(1-j) c.z=1/2 d.z=(1-j) e.z=1/2(1+j) M8 .. n = 0 jin 플

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Q: j(z) = Va + 13 j(2) = I %3D %3D Submit Question

A: For finding inverse of y=f(x) :1) Replace 'x' with 'y' and vice -versa.2)Solve for 'y'2)Replace y…

Q: linear or nonlinear.

A: A PDE is said to be linear if the dependent variable u and all its partial differential coefficients…

Q: y = x, %3D x = y?, 0<x < 1, 0.8 0.6 y 0.4 0.2 0.2 0.4 0.6 0.8 Figura 11.13. Ejercicio 11.17 como una…

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Q: L'équation 5xyz = 2x2 + y² +2z² + 6 définit implicitement z comme fonction de x et de y au voisinage…

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Q: An unevenly heated metal plate has temperature T(x,y)T(x,y) in degrees Celsius at a point…

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Q: 8 Exercise.3 Evaluate y* Va? – y² dy [+hint: assume y² = a?x], [M Check answer: %3D 32

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Q: Exercise 6 Using the method of variation of parameters, the particular solu- tion y, for the DE y" +…

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Q: R = {(x,y) E R ×x R : x > y} T = {(x, y) E R × R : x > y}. RoT.

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Q: Note: Answer either Yes or No or Not-Applicable in the block provided. Consider the DE ry" – y' +y =…

A: We will find out the required values.

Q: lompute dA ene of the turo erientatioh foe te gien parameluizaldeh X =0 = U t v, Z=U - V

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Q: Evaluate [ ( (x2+ yz) dV, where R is the rectangular box 0 s x < 1,1 s y s 2,1 s z s2.

A: follow next step

Q: (b) xyz dV, where E is the rectangular box E = {(x, y, z) : –1 < x < 2,0 < y < 1, –3 < z < 0}.

A: We have to evaluate given integral:

Q: Find Duf at P. 2. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i+ 1 Duf = i

A: We need to find directional derivative at p.