aw аnd ar aw Q1) Find if as w = x2 + 3y + z, X =r - s, y= cos (r+ s), z=e'.

Q: Continuity for Three VariablesAt what points (x, y, z) in space are the functions in Exercises 35–40…

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Q: Find y' at the point (7, 7) where z sin(z? – y*) + 46 = z² – 3. Türkçe: z sin(z² – y²) + 46 = z² – 3…

A: To find y' at (7, 7) Where  x*sin(x2 - y2) + 46 = x2 - 3....(1)

Q: Q. If z = f(x, y), where x = u cos 0 – v sin 0 and y = u sin 0 + v cos 0, with 0 a constant, show…

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Q: ds-(s + et)dt=0 (find DE,prove if exact or not)

A: dsdt=s+et  It can be solve by integrating factor method I.F =e∫1dt =et solution of DE is…

Q: 5. y" + y = 2t, y(1) = 1, y'(1) = -2, yp(t) = t² – 2t 6. y" + y = 2e-', y(0) = 2, y'(0) = 2, yp(t) =…

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Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: 9 cos r+j9 sin 24 cos r+j24 sin + võ cos T+ jv6sin T+ V15 cos – j/15 sin T COS what would this be…

A: This is a problem of complex analysis.

Q: O(y-+ rycota)dr + zdy O (coszcosy– cotz)dr sinrsinydy 0 O ydr + (3z -g')dy = 0

A: A differential equation is called linear if 1) every dependent variable and derivative involved…

Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

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Q: B. and , if z = (x² + y²)³/2, and r = e-" sin v, y = e¬u cos v. В. %3D

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Q: Suppose f(x, y) : where x = r cos 0 and y = r sin 0. 4 af af and ar Find when r 1, 0 -

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Q: If F(x,y,z)=sin(x³y²)+cos (Vxy2)+x®y²z, then fyz(1,-2,1)=

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Q: 3. Why is u = cos x, dv = x dx a poor choice for evaluating | x cos x dx?

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Q: 2- find Ow/ar if w = (x + y + z)?, z = sin(r + s) y = cos(r + s), at the point (r, s)=(1, -1) X = r…

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Q: 1. z, =1-j2 and Z,=2+j3; Evaluate cos[Z,J?

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: а. х %3 (3, —4,0, у b. х %3D (2, 1, —3, 4y c. x = (sen k, cos k, 24y para un entero positivo fijok

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Q: If f(z) = cos(t) dt, then f'(z): COS %3D Select one: a. 3e cos(z) COS b. ez cos(ez) c. 3e cos(e)…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Let f(x, y) = x² + y² and r(t) = (cos 1, sin t). (a) Find f(r(1)) without making any calculations.…

A: a) Equation of the circle with the centre at the origin that is (0,0) is x2+y2=a2 then every point…

Q: Q2/ Find ow/or if w = (x+y+z)³, x=r-s, y = cos(rs), z = sin(r + s) at the point (r, s) = (0,1)

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Q: (1) sin (z + y) com ( z + v) (2) COS

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Q: az Find when u = 0 and v dv 117 if z(x, y) = sin x + cos y, x = u •v, and y =u + v.

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Q: af ar fe Consider f(1, y, z) = r² + y²z² and I=r sin 0, y =r cos 0, z = Or³. Find and

A: The function fx,y,z=x2+y2z2 and the polar transformation coordinates are x=rsinθ, x=rcosθ and z=θr3.…

Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. af and Or 1, 0 = 6 Find -when r

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Q: 2л where a, b > 0. dx = - ile* + b Prove that %3D

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Q: 3. Given that z = e" cos (), u = 4e2" – sin 2y, v = e" + n tan r. COS - Use chain rule to find dz/ðx…

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Q: Utt || for 0 < x < T u(x, 0) = x? u:(x, 0) = }cos(8x) Uz(0, t) = u„(r, t) = 0

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Q: Q:Ifx= sin 6, y = 0,y = cos pe, prove that (1-x )y,-xy,+p°y = 0, %3D dy where y, dy and y1 d

A: Here given that x=sinθ, y=cospθ Taking derivative of both x &amp; y with respect to θ, we get…

Q: 3. If x = (sin t+cos t), y = (cos t-sin t), (1 < t < 4), evaluate ip, dt. dt dt

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Q: S. Re z dZ where c is the shorfest tra Jectory from Co,0) #i o (Iti) 2 Re z dZ Where cis a di sh…

A: (a). Consider the integral ∫CRezdz, where C is the shortest trajectory from 0+i0 to 1+i. Let z=x+iy,…

Q: (a) If f(x,y) = e" siny – e" sinx then verify that fry = fyz-

A: This question is related to partial derivatives.

Q: 65. The function z(u, v) = u cos v satisfies the equation dz cos U- ди sin v dz = 1. и до

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Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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Q: R. 4, = U, - sin x cos t, :>r > 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, 1,(x. 0) = 0

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Q: f z = f (x, y), where x = r cos 0 and y = r sin 0, show that a2 z 1 a²z 1 dz ar2 ar2 p2 aA2 r ar

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Q: If z=x+iy=r(cos(0) + isin(e))then

A: The given equation is z=x+iy=rcosθ+isinθ.

Q: -1 If cos x+cos y+cos z= T, prove that x +y +z +2xyz = 1

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Q: Integrate f,-¿ S=; cos x²dx dy =1 (x= 1 y=0 Jx=y Select one: a. cos1 b. .5cos1 C. sin1 d. Non of…

A: We will find out the required value of given integral.

Q: 9. Jer'y ds, C:x cos t, y sin 1, z = 1, 0<1s/2 %3D 77

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Q: 2. Prove that, V{(sec 0 - 1)/(sec 0 + 1)} cot 0. = cosec e

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Q: S(t) dt = In(x) cos(r) + sin(3) e-² sin(3) "S(t) dt, find f(r). ven

A: The expression is given by ∫sin(3)xftdt = ln(x)cos(x)+∫sin(3)xe-t2ftdt                            To…

Q: 2) en forma de hélice x = 2 sen t, y = 2 cos t, z = 3t, 0<1< 2# y función de densidad p = 5.

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Q: For u = ex cos y,(a) verify that ∂2u/∂x∂y = ∂2u/∂y∂x;(b) verify that ∂2u/∂x2 + ∂2u/∂y2 = 0.

A: The given  function is, u=excosy (a) To verify ∂2u∂x∂y=∂2u∂y∂x Solution: We have u=excosy…

Q: Q5: Find W,e if W = f(x,y), xr cos6 and y =r sino, then prove that r Wre =-yf + xfy+ xy(fyy-fex) +…

A: The given problem is to find the double partial derivative of the given multi variable function and…

Q: +z/3 + sin z dz

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Q: Sexyz ds, C: x= 2 sin t, y = t, z= -2 cos t, 0sts T

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Q: fe and dr af Consider f(x, Y, z) = x² + y²z² and r = rsin 0, y = r cos 0, z = Or³. Find

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Q: Find Particular Sol. of  xsin2 ycosy y' + sin3y/ 1+lnx = 4 ; y(e)= π/2

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Q: U + zu, =z u(z,0) = sin(87z) cos(90r). IER, t> 0,

A: Solving given partial differential equation by Lagrange method. Rewriting partial differential…