t sphere x² + y² + z² = 1 and take n as the upper unit normal. Use St v(x, y, z) = 3 yi-2xj+4zk.

Q: Find the cross product i x v where i = 2i +2j -3k and i = (- 8, – 6, 3). i x ở =

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Q: Hiwi Find the distance from the peint (er)tathe -Plane -4X-+4+ 2=4.

A: Recall:  The distance between the point (x0,y0,z0) to the plane ax+by+cz+d=0 is…

Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

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Q: Find the distance between the planes x + 3y – 2z = 3 and 2x - y - z = 4. %3D

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Q: Describe the surface whose equation is 2 + 2y + 2z 3.x- 5y + 9z -2 = 0. NOTE: Enter the exact…

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Q: find the area of triangle between V and W YA (1, 1, 1) V W

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Q: S²S²³²S²(x + y = z 10 (x+y-z) dz dy dx = 9 NICO 27 8 27 2 A O .BO .D

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Q: For parts (a), (b), and (c) consider the solid that lies above x +y -z =0 and below by x² + y* +z…

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Q: Find the area of the plane z 2y + 5z = 13 cut out by the cylinder x² + y² = 9. area=

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Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

Q: S is the lower portion of the sphere x2 + y2 + z2 = 25 cut by the cone z = √√√x² +

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Q: x=linspace(1,5*pi/3,50); y=linspace(-pi/2,pi/2,50); z=3*sin(x)^2+y^2+7; how many square units of…

A: The given function is z=3y2sin2x+7 and x=1,5π3,50 , y=-π2,π2,50. To determine: How much fabric is…

Q: Calculate the y coordinate of the center of gravity of the shaded area given in the figure.

A: The y coordinate is given by  y¯ = a2+c=62+76=3+76=79

Q: Calculate the Y-coordinate of the centroid of the rectangle shown in .Figure

A: In this question, the coordinate of the centroid of the rectangle is applied.

Q: Convert to rectangular coordinates a) write y as a function of x r = r costheta + 1 b) find (x,y)…

A: Please rate

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3

Q: 2 Let w = z². Find the image of the first quadrant in z-plane

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Q: Let U = (2,1,0), V = (1,0,1), and W = (2, −1,1). Find the area of the triangle UVW

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