əz Let z=xln(x2+y²-e*)-61xy, x=te°, y=est. If the value of when s=2 and t=1 is equal to Ae?+Be4, then A+B= at

Q: az əz of Z = - у2 +х at the point (x, y)= (1, 1). 1. Find дх ду

A: We have to solve one question as per guideline Please repost other question again

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

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A: Given  z = sin(xy) +ysin(x)              x = uv and y = u2 + v2  Substituting x and y in z we have…

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Q: 4. a. Find zx + Zy: given that z(x, y) = tan(x3-3x?y2+2y4) V9-х2-у? b. If u then show that x ди дх…

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Q: Soru 6 dz Find when u= 1, v= 0 if z= sin(xy) + xsin(y), x = u² + v, y3 uv. av A 2 -1 D -2

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Q: aw Q:3) Find ду if w 2u' v+ In(5v) , u=x+y & v=e"siny

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Q: 3. u, = u, - sin x cos t, 1 >0 В.С.: и(0, г) %3D0, = () 1.С.: «(х, 0) %3D 0, u,(x. 0) = 0

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Q: (a) i. Find Re{sec (x + iy)}.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Check by differentiation that y = 2 cos t + 6 sin t is a solution to y"+y= 0 by finding the terms in…

A: Here,  y=2cost+6sint

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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: a) u=r³-3ry² + 2xy + x, D) u= x² - y² +5, c) a= sinh rsing, d) u = e(y cos y + x siny), e)…

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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: OSolve where y (0, t) = 0 = y (5, t) and y (x, 0) = 10 sin 4Tt x.

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Q: SORU 7) S*-[(sint)i + (1+ cos t)i + (sec? t)k] dt =?

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Q: Exercises -8, given y and g(x), hnd dy/ax 1. y = 6u – 9, u= (1/2)x* 3. у - sin u, и Зх + 1 2. y =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: x + y3 -1 Еxample If u = tan prove that x- y ôu ди (i) x. + y. sin 2u

A: # we are entitled to solve one question at a time , please resubmit the other if you wish to get it…

Q: Q 2. Determine dt (i) J." -t2 4 (ii) ſe-t sin tdt. 4 (iii) J 73_2x² – 7x–4 -2х? —7х-4

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Q: sin(t) et, X2 sin(t)- cos (t) and X3 D sin(t) + cos (t)] 0. Given that X, cos(t) sin(t) + cos (t)|…

A: The problem is wrong, three vectors are not linearly independent.

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: How do I solve the laplace(u(t-2)cos(t-2))

A: The Laplace transform formula for translation on the t-axis is given by ℒ{u(t-a) f(t-a)} = e-asF(s),…

Q: дz in terms of r and t using chain rule if given that z=√√√4x² - y²₁ 1) Find and simplify dt x=r…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: iven po r (t) = (sin (t), cos (t), In(cos (t))), (0, 1,0). T = 1 1 1 - N = V2 1 1 B = V2

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Q: azu azu (a) Verify that u satisfies ax2 = = 0 , if u = e* sin y. ay?

A: NOTE:Kindly repost the other question as a separate question.

Q: 3. 2.m (ris, t)= e cos (25) y= h(ris, t)- e sini (s) %3D + そ人メ+ (てん「以) =1 け! ne Use chain rule to…

A: Given, u=fx,y,z=x3+xyz+z2x=gr,s,t=e2rcossy=hr,s,t=e2rsinsz=mr,s,t=ercos2s To find: ∂u∂s Formulas…

Q: 2 A force of F(x)=4cos (2x)-7 sin(x), x is in meters, acts on an object. What is the work required…

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Q: 16. set z= ¢ iy and let f(2)= e* y* (cos( 2zy) tisin(2zy) ce) f is analytic Inot analy tic in Cb)…

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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: -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: . и., — и. — sin x сos t, t>0 В.С.: и(0, г) %3D0, 1.С.: и(х, 0) %3D 0, 1,(x. 0) = 0

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Q: z = 3e*jS, y = 3z2 + sin(z) iS l5 al: Jis dx

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Q: Q4 Find az when u = 0,v = 0 du If z = sin xy + xsiny, x = u2 + v² ,y = uv

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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: uate the erihite integrai. 1/4sin(t) dt Cos (t) COS

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Q: 11 z- CCW -dz, z2 - z de. c:|2- = sec(u), <ý<.cv Question 11) Find I =

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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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