Find the points on the cone z? = x² + y? that are closest to the point (3,2,0)

Q: Find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2)

A: We will find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2) in the following…

Q: (7) Let D be the solid above the cone z = r and below the sphere of radius 2, and let fla, 4, 7) =…

A: To convert the cartesian coordinates into cylindrical coordinates put  And the integral will be…

Q: Find the points on the cone z² = x² + y² that are closest to the point (-5,4,0)

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Q: Use Lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to (8, 2, 0)…

A: Given: Equation of the cone: z2 = x2 + y2 Given point: (8, 2, 0)   To find: The points on the cone…

Q: Find the average squared distance between the origin and the points on the paraboloid z = 4 – x² –…

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Q: A The roots of Characteristic equetion f oreler, lineor homopeneous-equation with constant…

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Q: Find the points on the cone  z2 = x2 + y2  that are closest to the point  (2, 2, 0).   (x, y, z)…

A: Given,

Q: The axis of symmetry of the cylinder is parallel to the z-axis. х-ахis. O y-axis.

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Q: Compute the area of the portion of the cone x2 +y = z2 with z z 0 that is inside the sphere x y z…

A: Given the area of the cone is x2+y2 = z2 and the sphere is x2+y2+z2 = 2Rz.

Q: Find the points on the cone z = x+y' that are closest to the point (-2,3,0) 22

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Q: Find the dimensions of the largest rectangular box in the first octant (x, y, z > 0) with one corner…

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Q: Find the points on the cone z = x² + y that are closest to the point (-3,-2,0) %3D

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Q: Find the points on the cone z = x + y that are closest to the point (8, 2, 0) (x, y, z) (smaller…

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Q: To find the points on the cone z2 = x2 + y² that are closest to the point (5,2,0) , we need to solve…

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Q: What's the probability that the point (that is chosen at random from the unit cube) lies below the…

A: The figure is as shown below:

Q: Show that T,+M, = S2n- Mn=S2n-

A: The given relation is  13Tn+23Mn=S2n Here, Tn is a trapezoidal approximation, Mn is the midpoint…

Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (2, 2, 0).

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Q: Find the points on the hyperbolic cylinder x2 - z2 -1 = 0 that are closest to the origin. please…

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Q: Find a formula for a functionf(x, y, z) whose level surface f= 3 is a cylinder of radius 5 centered…

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Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (8, 2, 0). (x, y, z) =…

A: Here we use partial derivatives to solve this problem.

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x2 +y? + 2? = 1 is T =…

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: Determine the center and the radius: X2 + Y2 + 2X +10Y + 1 = 0 O (-1,-5) Radius 5 O (1,5) Radius 5 O…

A: Topic-circle

Q: Find the isogonal trojecdories of x*+y² =r² at 45",

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Q: PICTURE

A: We are given that the cone ax2+by2+z2 = 0 and the ellipsoid 2x2+4y2+z2 = 42 intersect and are…

Q: 2. The portion of a cylinder of radius 3 centered along the y-axis that lies between the planes y =…

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Q: The sphere x² + y² +z² = 100 has the center (0,0,0) and a radius of length 50. Select one: True…

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Q: Find the points on the cone z2 = x² + y² nearest the point P(6,8,0).

A: Here, we need to find the points on the cone z2=x2+y2 nearest the point P(6,8,0).

Q: Find the area of the cap cut from the sphere x2 + y2 + z2 = 2 by the cone z = √(x2 + y2).

A: to find the area

Q: Find all points on the isometric dot plane, Ax,1 yl, with x and y integers, that are ex- actly V133…

A: a)The distance from origin to point x,y is 133. b)The distance from origin to point x,y is 217.

Q: Find the equation of the osculating plane of the helix x = sin 2t, y = t, z = cos 2t at the point…

A: The helix is given as x=sin 2t, y=t, z=cos 2t. We have to find the equation of the osculating plane…

Q: Find the points on the cone z 22 x2 + y? that are closest to the point (-5,2,0)

A: Find the points on the cone z² = x² + y2 that are closest to the point (-5,2,0).

Q: Find the area of the upper portion of the cylinder x2 + z2 = 1 that lies between the planes x = ±1/2…

A: Find the area of the upper portion of the cylinder x2 + z2 = 1 thatlies between the planes x = ±1/2…

Q: Find the minimum distance from the cone z = 2x2 + y2 to the point (-6, 4, 0).

A: To find the minimum distance first write distance function. Which is the square distance from  .

Q: Find the points on the cone z2 = x² + y² that are closest to the point (-2,2,0)

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Q: 22 Find the Directional Derivabive of Pary,z)= xg-y2'+Z at the point CI, -2, 0) in the direcbion of…

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Q: Find the points on the hyperbolic cylinder x2 - z2 -1 =0 that are closest to the origin. please…

A: The parametric equation of hyperbolic cylinderx2-z2-1=0 is , x=cos hθ                          y=y…

Q: (a) Obtain the equation of the tangent plane and the condition for tangency to the conicoid Ar? +…

A: Conicoid given is- Ax2+By2+cz2=1 at the point (α,β,γ) We have to obtain the equation of the tangent…

Q: 3. Find the orthogonal trayectories to the cuve y = ax²- acx Is held fixed. 3 .2 %3D where a

A: The curves that cut every member of a given family of curves at right angles, is called an…

Q: Evaluate aned on c indicatid curve 2. 2. y+ Y( sm3x +ca 32,22 3t ,4=t,0zt2|

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Q: Find the points on the cone z = x + y2 that are closest to the point (8, 2, 0). %3D (x, y, z) =…

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Q: Find the average z-coordinate of points in a hemisphere of radius 8 centered at the origin with its…

A: We have to find the average z coordinate of the hemisphere of radius 8 centered at origin with base…

Q: Find the points on the cone z + y that are closest to the point (2, 2, 0). (x, y, z) = (smaller…

A: We have to find the closest points near to the point (2,2,0).

Q: 6) 3 =x2 porobola, find the yolume of the object by notating +his porabola ond the regjen around the…

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Q: Find the points on the cone z = x° + y° that are closest to the point (1,-1,0) %3D +1

A: Given,

Q: Find the points on the cone z = x + y that are closest to the point (2, 2, 0)- (x, y, z) = (smaller…

A: Given , z2=x2+y2 and a point (2,2,0) We need to find the closest point Distance formula…

Q: Let a = 2 and b = 3. Find (x, y ,z) the closest point from the cone z = V ax+by to the point…

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Q: Sketch the grapm of the pare cone (6) and Sketeh TE) and valve of f. quaph N't) at the %3D

A: For a vector valued function r→t=a(t)i→+b(t)j→, its unit tangent vector T→t and unit normal vector…

Q: Find the minimum distance from the cone z= to the point (6, 6, 0).

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Q: 2) Find the area of the part of the surface z = x2 + 2y that lies above the triangle with vertices…

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