Find M, M, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations. y = x?, y = x7 M, = X. My (x, y)

Q: Let f (L, K ) = 32LK. Find df/dL.

A: Differentiate the function f with respect to L.

Q: Find fzyr. f(x, y, z) = x³y5₂6 + xy³ + yºz

A: Given: fx,y,z=x3y5z6+xy3+y6z We have to find fzyx For fzyx we first have to find the partial…

Q: Find (x, y, z). (Let P = (7, 7, 0) and the Midpoint = (0, 5, 5).) (х, у, 2) %3 Midpoint (х, у, 2) P

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Q: Let F(x, y) =x2+xyz+z , find at the point (1,1,1)

A:

Q: ven the bivariate data: 2. 3. 5 y 6. 8. 7. 1. Draw a scatter diagram for the data. 40 Grap 8 Afte…

A: Given data is X 1 2 3 5 6 y 9 8 7 3 1   Scatter diagram for the data is

Q: 1 Selving ou au at

A: We solve it by seperation of variable method.

Q: Let r(t) = (cost,sin t, ln(cost)).Find T, N, and B at (1, 0, 0).

A: Let rt=cos t, sin t, lncos t at 1,0,0 Find T, N and B. Tangent vector to the curve is denoted by…

Q: A long, thin rope containing insect repellant is placed along the z-axis. The density of insects at…

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Q: where Dx = X₁-X₂ and Dy = |Y₁ — Y2]. Assume that the two locations are independent and uniformly…

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: Find minimum perpendecular distance between given paraboles. y = x2 + 1 y = x - x2

A: To find the minimum distance between 2 parabolas

Q: (a) Assume that traffic flows at a rate of 240 vehicles per hour on the stretch of road between…

A: The number of vehicles coming and leaving the signal is same in all the signals. That is, Total…

Q: Evaluate the triple integral of f(x,y, z) z(x2 + y? + z²)-3/2 over the part of the ball x² + y² + z²…

A: please  see the next step for solution

Q: (b) Calculate dx ds ду ds dz ds II || ||

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Q: dw Find ду dw at the point (w, x, y, z) = (3, - 1, - 1, - 1) if w = x3y? + yz-z° and x2 + y? +z? =…

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Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: Let A(a)-1+² Rotate y-A(e), 0.5 SS2,-0.5, 1.25 555-5.0.5 552 around the y-axis. (See below) Be sure…

A: Given that  hx=1+x2y=hx, 0.5≤x≤2x=0.5, 1.25≤y≤5y=5, 0.5≤x≤2 Rotate around the y-axis.

Q: Find the minimum and maximum values of the given functions in the indicated region. f(x,y) = x2 +2x…

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