Find the center and radius of the sphere. 2 4x + 4y + 4z + x + y+z= 25

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: Choose the equation that represents the graph of the quadric surface below 3. 21 O z = 4 - 5y2-92 O=…

A: From graph we see that the quadric surface represents a paraboloid whose axis is y-axis Here 1st…

Q: Find the center and radius of the sphere x + y + z² +4x+6y-10z+2=0 and graph the sphere.

A: x2+y2+z2+4x+6y-10z+2=0 We need to find the center and radius of the given sphere and graph the…

Q: find the center (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

Q: ²+y? + - 2x – 4y + 8z + 17

A:

Q: y A A -4 -2 4 В 6 x -2 C 42. Show that the triangle with vertices A(6, -7), B(11, -3), and C(2, -2)…

A: Given vertices of △ABC: A=6, -7B=11, -3C=2, -2

Q: 1. Find the center and radius of the given equation of the sphere. x + y +z´ - 4x+ 6z+12=0

A: Given: The equation of sphere is x2+y2+z2-4x+6z+12=0.

Q: 2. Determine the center and the radius of each circle. a) (x+1)2 + (y – 1)2 = 16 b) (x - 2)2 + y² =…

A: We have to determine the centre and the radius of each given circle

Q: • Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x?…

A:

Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

Q: Which of the following point is the closest point on the sphere a? + y? +2? = 4 from the point…

A: In this question we have to find the point that is closest point on the sphere.

Q: surface z? = -x² – y2 + 6.

A:

Q: x² + + =1 y2 9. 4

A:

Q: . 2x2 +2y? + 2z2 = 8x- 24z +1

A:

Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

A:

Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

A:

Q: 5. Show that the equation represents a sphere, and find its center and radius:…

A:

Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

A: 1. In analytic geometry, a line and a sphere can intersect in three ways: No intersection at all…

Q: c) Find the center and radius of the sphere whose equation is x² + y² + z² + 10x + 4y + 2z – 19 = 0

A:

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

A:

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

A: 9x2 + 9y2 + 9z2 − 6x + 18y + 1 = 0

Q: The three-dimensional quadric figure below is described by: x² + 2y? + 2z – 5 = 0

A:

Q: Find the radius and center of the sphere. [Hint: Complete the square in each variable.] x? + y? +z?…

A: We will find the centre and radius of sphere as shown below

Q: Which equation represents a circle with center (12, 9) and diameter of 12 units? (x+12)2 + (y+9)2 =…

A:

Q: Find the point on the sphere x2+y2+z?=7056 that is farthest from the point (5,-15,-2)

A:

Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: Which of the following point is the closest point on the sphere z +y² + z? = 4 from the point…

A:

Q: C) What is the standard equation of the circle with a Center (6, -1) and a radius of 4? (x-h) ^2 +…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

A:

Q: 2. Find the center and radius of the sphere *+y ++4x-2y+8-4 0

A:

Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

A:

Q: Find the equation of the hyperboloid shown in the figure, B A where a = 2, b = 7, A = 12, B = 42, Z…

A: Hyperboloid, where a=2, b = 7, A= 12, B = 42, Z= 2. To find the equation of given Hyperboloid.

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

A:

Q: 24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? a. (x – 1)2…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that the equation represents a sphere, and find its center and radius. Please show all of your…

A: The general equation of a sphere is,

Q: Choose the equation that represents the graph of the quadric surface below 3 O y = 4 – 5x² – 922 O I…

A: We have given a quadric surface. It is asked to find the equation of the surface from the given…

Q: Find the maximum and the minimum values of f(x.y.z) = 4x - 5y + 3z on the sphere x +y° +z? = 50. %3D…

A: Using Lagrangian multiplier method, i.e, Put g(x)=x2+y2+z2 and put f=λg and solve for the value of…

Q: In which variable(s) should you complete the square to identify the surfacex = y2 + 2y + z2 - 4z +…

A: We have to determine which variable should we complete the square to identify the surface…

Q: Find an equation of the sphere that passes through the origin and whose center is (-6, – 3, – 2). O…

A: We know that,  General equation of sphere is given by, (x-a)²+(y-b)²+(z-c)²= R² where, R is the…

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

A: Given

Q: Complete the square to write the equation of the sphere in standard form. x² + y² + z? + 9x - 2y +…

A:

Q: Which is an equation of the circle whose center is (3,-2) and whose radius is 5? A (x+3)2 + (y –-…

A: Solution: The objective is to find the equation of a circle

Q: The measure of ZYXZ 54". What is the measure of Z YRZ? R is the center of the circle R Z

A: 1) Based on angle in a cricle theorem, Central angle is twice any inscribed angle subtended by the…

Q: Find the intersection of the line x = = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

A:

Q: A circle has the equation (z+1) + (y - 3)? = 16. What are the coordinates of its center and the…

A:

Q: - The equation of the sphere centered at C(h, k, l) and radius r is given by (x − h)² + (y − k)² +…

A: The given sphere equation x2+y2+z2-4x+2y+6z-11=0