f (x, y, z, u, v, w) 3æyzuvw + x²y²w? – 7cz° + 3yvw Calculate [af af af af af af + for a = y= z = u = v = w =1 +
Q: 7) z dV, E is the solid enclosed by the cylinder r2 +y = 1, and the E planes z = 0 and z 3.
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Q: In Exercises 61-68, compute the derivative indicated.
A: We have solved first three parts for you, if you want solution of other questions, repost them.…
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Q: 10. Compute the work done by the force F(x, y) = (x²–y) i+xj acting on an insect as it moves along a…
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Q: Find ôz|ðu and ôzlôv for z=4e* In(y), x=ln(ucos(v)), y=usin(v) at the point (u, v) = (2, 7 | 4).
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Q: Find the work done by the force F (r, y) = yxi– (x – y) j over the straight line from (1, 1) to…
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Q: Use the Chain Rule to find dw/dt. w = xey/z, x = t5, y = 1 − t, z = 3 + 7t
A: To find out dw/dt.
Q: Find the work done by the force F in mving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)
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Q: Use Stokes's Theorem to evaluate F(x, y, z) = x²i + z²j – xyzk S: z = √√√4x² - y² F. dr. In this…
A: Consider the given function, Fx,y,z=x2i+z2j-xyzk and S:z=4-x2-y2 Let us consider that ϕ:x2+y2+z2=4.…
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Q: Evaluate the line integral ∫cF⋅dr, where F(x,y,z)=−3sinxi−2cosyj−xzk and C is given by the vector…
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Q: Utt = 8uxx for 0 < x < ™ u(x, 0) = x² u(x, 0) = 1/2cos(8x) Uz(0, t) = u„(T, t) = 0 %3D II
A: The given P.D.E is utt=8uxx for…
Q: Evaluate the integrals
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Q: dz Use chain rule to find at (u, v) = (1, 1) if dv z = z sin(y² – z + 1)4), e = 3u – v², y = vº.
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Q: Q1 show thot the force F-ljz-6xz+2xy2) ij+(3xyz-6x²z)is cors.ervotive, hence find the Potenial fum…
A: According to our guidelines, we can answer only the first question or first three subparts of a…
Q: (B) Find the potential function V = V(r, y) such that %3D + yi+ + r)j = V¥ 1+ x2 + y? 1+ x? + y? and…
A: We have to find the potential function ψ=ψx,y such that x1+x2+y2+yi+y1+x2+y2+xj=∇ψ and also evaluate…
Q: Find the Jacobian w/ respect to UVW X=U(3-v), Y= uv(3-w), Z=Uw
A: Our aim is to find the jacobian of x=u(3-v), y=uv(3-w) and z=uvw⇒x=3u-uv , y=3uv-uvw and…
Q: Find u x v. u =j + 4k, v = 2i - k Show that u x v is orthogonal to both u and v. (u x v) • u = (u x…
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Q: Given that F = (2x + y2)i + (3y – 4x)j. Verify Green's theorem for F.dr around the triangle formed…
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Q: Use the Chain Rule to find dw/dt. w = xey/z, x = t5, y = 3 − t, z = 1 + 2t
A: Please find the detailed solution in below image
Q: Let z(a, y) = 7x – 6y where x = - 7s – 4t & y = – 2s + 8t. %3D %3D az Calculate as az by first…
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Q: nto v. t of u orthogonal to v.
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Q: 3. Find the circulation of F 2xi + 2zj +2yk around closed contour %3D
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Q: ut (X, Tof) be the cofinita to p. Jet A = {1,3]. etス=R B= Co1) %3D Fnd Ā ļ B.
A: Here given that X=R Let A={1,3} and B=(0,1)
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Q: Find F.dS if F (x, y, z) = 2xi+2yj+2zk and S is t he part of the paraboloid z = 8-x²–-y? lying above…
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Q: Find a non-zero and non-constant vector function F(x, y) = F1(x, y)i+ F2(x, y)j, ƏF OF 02F and dy?…
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Q: 1. Consider f(x, y) = 2x² – y² +3x– y and U is any unit vector in R?. Find the maximum value of D7f…
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Q: Find u x v. u = j + 3k, v = 7i - k Show that u x v is orthogonal to both u and v. (u x v) · u = (u x…
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Q: Integrate f(x,y,z) = (x + y +z)/ (x² +y² +z? over the path r(t) =t i+tj+3t k, 0<a<t<b.
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Q: | Let u = x*y + y°23 where x = rse', y = rs²e=t, = 2, 8 = 1 and t = 0, by using Chain Rule. p2 Sint.…
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Q: Find the work done by the force F = xy i + ( y - x)j over the straight line from (1, 1) to (2, 3).
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Q: se the chain rule to compute and at (u, v) = (1, I) where f(x, y, z) = x²y + y²z + z²x and r(u, v) =…
A: Given: fx,y,z=x2y+y2z+z2xr→u,v=eucosv,eusinv,u2u,v=1,π4 To find: ∂f∘r→∂u=?∂f∘r→∂v=? Concept used:…
Q: The work done by the force F = in the displacement along the path C: r(t)=from the point (1,0,0) to…
A: To find the work done by a force
Q: Use Stokes's Theorem to evaluate F(x, y, z) = z²i+yj + zk S: z = √√16x2 - y2 6 F. dr. In this case,…
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Q: (b) Let z(r, y) = exp(-|r|) cos r + y², where r + y /9 = 1. Show that z(r, y) has minimum points…
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Q: Q2:show that the force Fexyzi-x4z'k is Conservative. ?
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Q: (h) Vx E R, 3y E R, (x + y > 0 or x + y = 0). (i) Vx E R, 3y E R, (x + y > 0 and x + y = 0). (j) (Væ…
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Q: Find the dircctional deriu atrue Du f(-3,-1,3) for the function f Cxiy,2) =xy + yz +ZX in the…
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Q: (c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii)…
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Q: If w = x²y - y²z³,x = rCost,y = rSint, dw z = re' , (r = 2)and(t = 0)then dt
A: Given equations - w = x2y-y2z3 ...............(1)x = rcost ............(2)y = rsint…
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Q: Suppose F(x, y) = (2 + 5y, 6z – 5y²). Use Green's Theorem to calculate the circulation of F around…
A: Given : vector field F→x, y=x2+5y, 6x-5y2 and triangle C oriented counter-clockwise with vertices…
Q: w = f (u, v) u = x²y and v = 3x + 2y Let %3D и af Find (1) ду * (2) (3) дхду dy2
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Q: $ ((x,y) (E,6) )e product Prove 2 xt + 3yt on e?. Gompute inner IL(,2), where the norm i's…
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Q: 10. Find the work done by the force F=vx +2y y - 7 for a particle that moves between points (-1,0,1)…
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Q: Use the Chain Rule to find ôz/ðs and dz/dt. z = tan(u/v), u = 3s + 6t, v = 6s – 3t dz %3D as Ot
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- Uyy=4Uxx , U(0,y)=U(5,y)=U(x,0)=0 Uy(x,0)=3sin(2pi x)x)-2sin(5pi x), y>0Suppose L(5, 4) was reflected across the line y = x then translated along the vector <4, 0>. What is the y-coordinate of L''?suppose u = f(x,y) and v = g(x,y) with xy+2xu+3xv+uv-1=0 and 2xy+3yu-2xv+2uv+2=0 find jacobian d(u,v)/d(x,y)
- Compute ∇ƒ(-1, 2, 1), where ƒ(x, y, z) = xy/z.if z=xarctan(y/z), find ∂z/∂x at x=0, y=1, z=15) Consider four points A, B, C, and D whose geometrical locations correspond to the corners of a square with sides of length 1 mm. Calculate the potential differences (in mV) VAB, VBA, VAC, VCA, VAD, VDA, VBC, VCB, VBD, VDB, VCD, VDC between the points in a uniform electric field of 3 V/m parallel to the two sides (and perpendicular to the other two) of the square. (Show your work)
- Distinguish briefly the Skewness and kurtosis1. Solve by Cramer’s rule 3x + y + 4z = 11 4x – 4y + 6z = 11 6x – 6y = 3 2. Find the volume of tetrahedron given the following (1, 0, 1), (0, 1, 0), (0, 0, 1), and (1, 1, 1).Calculate the forces in member AC for the loaded truss in Figure Q8.a) -2.82 kNb) +3.2 kNc) +2.82kNd) None of above