Evaluate the solid bounded by 2x+z=2 and (x-1)2+y2=z.

Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: arctan dA Xx Calculate where R={(x, y) / x² + y² ≤ 4, x² + y² ≥1, y ≤x≤ 0}

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Q: Transform the equation: 2x2y'' + xy' + 3y = 0 to the form of: a(d2y/dz2) + b(dy/dz) + cy = 0 (a,…

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Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: Use LaGrange multipliers to find the points on the surface 2² = x² + y² which are closest to (4, 2,…

A: Given surface z2=x2+y2 and the point (4,2,0). The objective is to find the points on the surface…

Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 56. Use the…

A: The region is bounded by the graphs fx=x2 and gx=-x+56. We have to find the centroid of the region.

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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Q: find the orthogonal trjectories of x=c^y^2

A: We need to find orthogonal trajectories.

Q: Determine whether the function f(z)=z^2+(bar z) is analytical at z=1+i, where (bar z) denotes the…

A: Analytical functions, also known as holomorphic functions, are complex functions that are…

Q: A point moves in the (x, y) plane on the line 2x+ 3y −4 = 0. Where will it be when the sum of the…

A: We have to find a point from where the sum of square of its distances from 1,0 and -1,0 is smallest.

Q: Determine the greens function for the ball B= { (x,y ) : x^2 +y^2 < 9 } x,y belongs to R^2

A: To Determine :- The green function for the ball B = x,y : x2 + y2 &lt; 9  x , y belongs to ℝ2.

Q: use the lagrange multiplier to find extreme points of f(x,y,z) = 2x+z over the intersection of…

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Q: s (2i + 2a - 2) dz 4. 1 x3 + 2x3

A: topic - integration

Q: [1 |A = [a1, a2, a3, a4] 2 11 5 0 3 -1 4 0

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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Q: Find the volume of the solid of revolution generated by the flat region under the curve obtained by…

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Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

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Q: Find the maximum value that f(x, y, z) = x² +9y - z² can have on the line of intersection of the…

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Q: Draw the standard yz− and xz− traces of the quadratic surface x^2 + y^2 − 2x − z + 1 = 0

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Q: Find the point on the plane x+y+z%3D24 that is closest to the point (1,1,1).

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Q: Find the point (x,y) on the line y=x that is equidistant from the points (3,8) and (−10,−10)

A: To find the point x, y on the line y=x, that is equidistant from the points 3, 8 and -10, -10.

Q: Show that V₂ = C1 CiYt-i+1 is stationary

A: As per the question we are given a stationary process {Yt} having the acf (auto-correlation…