•SS₂√₁ (u cos v, u sin v, v) 0 ≤ u ≤ 3, 0 ≤ 0

Q: S(z,9) = z² + y*;z = f + P;y =P +° , % att = 1 equals Select one: Oa 0 Ob -1 O. 164 Od. 64

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Q: Find g(u(х, у, г), в(х, у, г), и(х, у, 2)) if g(x, y, z) = z sin xy, u(x, y, z) = x²z", v(x, y, 2) =…

A: Given:  (1) gx, y, z=zsinxy (2) ux, y, z=x2z3 (3) vx,y,z=πxyz (4) wx,y,z=xyz To find : gux, y,z, vx,…

Q: Q11 Find the extremals of functionality * i) J[y] = [[y*+yy+y° jar X1

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Q: Let r be the function defined by r(t) = (/10sen t,t, /10 cos t) where the coordinates of r(t) are…

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Q: 1. Use a change of variables to evaluate ſc ¡f cos(x) dA where R is trapezoidal region with vertices…

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Q: Consider the exact U (x,y) that 2x + f = x taf Statistics. au aa au DDE (2x+ f) dx + (x + ² f) df =…

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Q: + x

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Q: 37. (grad ƒ) × grad f, (grad f) grad f

A: Follow the steps for question 37).

Q: Gixen dw wt 3y x dt dy +2X +3 x Find the gencral oludtii, usri eign.

A: Write the given system into matrix equation as follows.

Q: a²u Q2) solv the P.D.E = ди at əx² u(x,0)=1/8 sin x, u(0,t)=t, u(1,t)=1/2 (t+1), h=0.2, r=0.3 which…

A: ∂2u∂x2=u(x+h,t)−2u(x,t)+u(x−h,t)h2∂u∂t=u(x,t+k)−u(x,t)kFrom the equation…

Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

Q: (a) (x² + y² + z² + w?)3/2 = 4

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Q: 5) Evaluate using the method of u-substitution. Show antiderivatives and work. a) [5pts] L dx 2n b)…

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Q: Evaluate f, xyz dV, where Q = {(x, y, z): 0 < x < 2y, 0 <y< 1, 0 < z < x+y}.

A: According to question,Q = x,y,z : 0 &lt; x &lt; 2y, 0 &lt; y &lt; 1, 0 &lt; z  &lt; x+y

Q: (u, v) ~ (x, y) as (x, y) → (0,0) that will bring to the sum of squares z = A1u? + A2v² the…

A: given u=ux,yv=vx,y   and u,v~x,y as x,y→0,0 define a function z=λ1u2+λ2v2 where…

Q: Q1\ Find the extremals of functionality

A: Given,            Jy=∫x1x2xy'2-yy'+ydx

Q: Find the extrema and/or the saddle points of the functions a) f(x, y) = ex cos y b) f(x, y) = x² +…

A: Note: As per the honor code, the first question can be answered since the exact one wasn’t…

Q: Let h(x, y): = x² + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: Let us consider the function f(x.y). The limit is essential discontinuity if the limit of the…

Q: Evaluate y ds, C: I = t", y = t, - 2<t < 1

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Q: (a) Find the general solution of the given system of equations. :) -1 -4 x' = 1 -1

A: Introduction: In order to solve x'=Ax, we first need to find the characteristics values and vectors…

Q: 1. Let f(x, y) = x cos (x²y). find: af a) ƏH b) of evaluated at (s) our (show you work)

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Q: state the arder, degree, and linearity of the filowing differe ntial squtions ) ax* 9 + asx) : 3x-4…

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Q: 5e+4x -5 sin z)dr O5e +z-5cos z +c O 5e + 2-5sin r+ c O 5e +a* +5 sin a +e O5e +x*+5 cos z +e…

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Q: c) If f(x, y)= e" cos 2x, then show that = 0.

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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: 1=[2-2) - (3+ 2)] 은 (a) 2. %3D 1. #= (Q- 2) + (3+ n)] 은 (a) %3D | (A) - [(x+ t)² – (x – t)°] = xt…

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Q: (a) x² + zsen xyz = 0

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Q: F is a differentiable function of two variables, x and y, such that Fx (0, − 2) = −4 and F₁(0, − 2)…

A: Given z=F(tan(u-2v+5), u3v)To find: ∂Z∂u

Q: re sin + y2

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Q: 2: find fr, fy, and fz.

A: Given fx,y,z=e-xyz to find fx differentiate with respect to x fx=e-xyzyz

Q: ∠S and ∠Y congruent or supplementary

A: Given,           To find ∠S and ∠Y congruent or supplementary.

Q: Find the displacement of an object on the interval 2 ≤ t ≤ 5 if its velocity is shown. V(Đ m 3 1 5 7…

A: Given: A graph of velocity-time.

Q: a) Find a scalar function f such that F= Vf where F(x,y) = (3 + 2xy²) i +(2x²y)j.

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

Q: ôf ôf and - for the fiunction f(x, y,z) = x²y+y° + xz? ôx 'ôy Q2: Find .2

A: We have to Solve the partially differential .

Q: 01. If w f(u, v), u = cosx and v = sinx, show that: d'w dx2 = v? fuu + u? frv - 2uvfur - ufu - vf,

A: Given w=f(u,v), u=cos x and v=sin xso we see that dudx=-sin x =-v   and dvdx=cos x=u.By chain rule,…

Q: determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TT

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Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: 5. Find all analytic functions f such that Ref + Im f = ry.

A: We need to find the analytic functions f such that Re f+Im f=xy. Consider the function of the form…

Q: (2,2) b) Evaluate o x*y dx + x dy, shown in adjacent figure using green's theorem. where c is…

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Q: S (2- (2- sec2r) en(ale), secx -dr to be integrable using the formula What should be the value of A…

A: We have to find the value of A.