Find the center and radius of the sphere. x² + y² + z? + 4y – 14z – 28 = 0 %3D center (x, y, z) radius

Q: Find the point on the plane 5x + 4y + z = 11 that is nearest the origin. What are the values of x,…

A: First we find the distance(d) between a point (x,y,z) on the plane and the origin .Then form a…

Q: Find the area of the surface. The part of the hyperbolic paraboloid  z = y2 − x2  that lies between…

A:

Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

A:

Q: b) the region B in the first octant bounded by the surfaces z =r and r2 +y² + 2 = 1, and c) the…

A:

Q: Q1) Find the centers and radius of the spheres for: (x - V2) + (y- v2) + (z + V2) = 2 * (+ })' • (-…

A:

Q: a) Solve the equation ru, + tu, D0 with u(r, 0) = e. b) In which region of the zt plane is the…

A:

Q: Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x − 8y + 4z + 52 = 0 Find its…

A:

Q: of the paraboloid 2= l-x²-y² +hat Find the area of the Part The paraboloid z= -x?-y? +hat lies

A: The given paraboloid is -  z = 1-x2-y2 We have to find the area of the part of the given paraboloid…

Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4nearest the point (0, 7, -5).

A: The given sphere is x2 + (y - 3)2 + (z + 5)2 = 4 and the point (0, 7, -5). Here, the center of the…

Q: • Find the area of the portion of the Sphere x² + y² + 2²² = 9 between the planes Z=1 and 2 = 0.…

A: The given equation of  plane is x2+y2+z2=9. The polar coordinates are x=rcosθ & y=rsinθ. The…

Q: Find the center and radius of the sphere. x + y2 + z2 – 16y + 6z + 9 = 0 +z° - center (х, у, 2) %3…

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Planet is spherical;g(x,y,z) =x2+ y2+z2 = 144M(x,y,z) =12x - y2+xz + 210   We need to satisfy,∇ M =λ…

Q: V Z the tetrahedron cut off from the first octant by the plane 6 2

A: NOTE: Refresh your page if you can't see any equations. . the limit of z is

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given: Mx,y,z=The strength of the magnetic fieldMx,y,z=12x-y2+xz+210…

Q: uestion 4 Find an equation of the sphere that passes through the origin and whose center is (-6, –…

A: Given equation of sphere passes through origin and centre at (-6,-7,6) Now we have to find the…

Q: Find the center and radius of the sphere x^2 - 6x + y^2 + 8y + z^2 = 2

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: You are an engineer looking to position a communication tower on the moon. To ensure that the…

A: Given equation of any point on the surface of the moon x2+y2+z2=122 thus constraint is…

Q: Equal volumes To what height (above the bottom of the bowl) must the cone and paraboloid bowls (as…

A:

Q: Find the surface area of the portion of the sphere x2 + y2 + z2 = 25 inside the cylinder x2 + y2 =…

A: Recall:  The formula of surface area is S=∫∫S1+∂z∂x2+∂z∂y2 dA

Q: The hyperbola x2 –y2=a2 revolves about its transverse axis. Find the volume of a segment of height a…

A: Given that: The hyperbola x2-y2=a2 is revolved about its transverse axis. To find: the volume of a…

Q: Find the area of the surface. The part of the surface 2y + 4z - x2 = 5 that lies above the triangle…

A:

Q: Find the area of the surface. The portion of the sphere  x2 + y2 + z2 = 100  inside the cylinder…

A: To find the area of surface

Q: Match the quadric surfaces to its graph. A. y + = 4+ 4x² C. 9z + 4y = 36 + 36z² B. 42 + y? + 4z² =…

A: We have to identify which Quadratic equation corresponds to which of the given 3D graphs.

Q: Show that the equation represents a sphere, and find its center and radius: x^2+y^2+ z^2-8x + 6y +…

A:

Q: A 1.82 kg particle has the xy coordinates (-1.46 m, 0.325 m), and a 3.65 kg particle has the xy…

A: Given that, A 1.82 kg particle has the xy coordinates (-1.46 m, 0.325 m), and a 3.65 kg particle has…

Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4 nearest a. the xy-plane. b. the point (0,…

A: Consider the given equation of the sphere.

Q: Q3) Find the centers and radius of the spheres in x? + y? + z? + 4x - 4z = 0 x? + y? + z? - 6y + 8z…

A:

Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

A:

Q: Find an equation of the sphere with centre in the xz-plane and passing through the points (0, 8, 0),…

A:

Q: Find the center and radius of the sphere. x2 + y2 + z2 - 18y + 12z + 36 = 0 (x, y, z) = ( 0,9, – 6…

A:

Q: he volume of a sphere generated by revolving the upper half of a circle with center (0,0) and radius…

A: r = 4

Q: Find the center and radius of the sphere. x² + y² + z² - 16y = 0 center (х, у, г) 3D radius

A:

Q: Quèstion 5 Find an equation of the sphere that passes through the origin and whose center is (-10,…

A:

Q: Find the center and radius of sphere x^2+y^2+z^2-20z =0.

A:

Q: Quèstion 1 The equation of the sphere with center (3,-8, 1) that touches that y-axis is OA (x - 3)?…

A:

Q: Enclosed by the cylinders z= x2 y = x 2 and the planes  z =0 y =4

A: Given: The cylinders z= x2 y = x 2 and the planes  z =0 y =4 The solid enclosed by the surfaces,

Q: Solving = c2 with the initial conditions y(x,0) = ux(l – x), = 0 and the boundary t3D0 %3D…

A:

Q: Find the center and radius of the sphere x? - 16x – 7+y? + 10y + z² – 4z = 0 OA C(8,- 5,2), r = 10 O…

A:

Q: the region bounded by the graph y = 3x - x3, the y axis, and the line y = 2 is revolved about y…

A: C.

Q: Determine the degree of the Homogeneous Equation. y xsin- – ysin | y Degree 0 Degree 1 Degree 2…

A: The given homogeneous equation is xsin(y/x)-ysin(x/y) As the degree of homogeneous function xnf(y/x)…

Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 4z that lies inside the…

A:

Q: How to find the maximum and minimum points on the sphere?

A: Maximum and Minimum points will occur where derivative will be zero for teh function. In case of…

Q: 2 Find the point on the sphere x² + y² + z² = 16 farthest from the point (-1,-1,1). The point is…

A:

Q: The equation of the sphere with radius r = V75 and center C(2,1, – 1) is (a) x² + y² + z² + 4x + 2y…

A: The general equation of a sphere with radius r and center a,b,c is x-a2 + y-b2 + z-c2 = r2

Q: Find the distance between the spheres x2 + y? + 22 = 4 and x2 + y + z = 4x + 4y+4z- 11. %3D Answer +…

A:

Q: 2) The solid lies between planes perpendicular to the x-axis at x = -2 and x = 2. The cross sections…

A: Let's find.

Q: find the equation of a sphere. x^2 +y^2 + z^2 +2x - 2z -2 = 0

A: see the details solution in below

Q: (x² + y²) dS, o : the surface of the sphere x2 + y² + z² = 4.

A: 128π3 Is the surface integral.