Which of the following point is the farthest point on the sphere æ? + y² + z²=4 from the point (3,1,-1)?O a.O b.VIId.

The equation of sphere is given as, From the equation it is clear that the sphere has its center at…

Answered: Which of the following point is the…

Which of the following point is the farthest point on the sphere a? + y² + z? = 4 from the point (3,1,-1)? a. b. /11 O d. 11 O e. (유금)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.CR: Chapter Review

Problem 2CC

See similar textbooks

Related questions

Q: What is the particle's farthest distance from the point (2, 2).

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: Find mZH in rhombus GHIJ. 2x 3x+25° J %3D Submit

Q: Describe the triangle ( AXYZ, not shown) as scalene, isosceles, or equi Here is the given…

A: we have to identify which triangle is

Q: Describe a method for determining whether four points P, Q , R , and S lie in the same plane?

A: We will show a method for determining whether four points P,Q,R and S lie in the same plane.

Q: 2. Explain why Corollary 2 is true. That is, explain how the fact that MXN is a semicircle leads to…

A: We have given information that MXN⏜ is a semicircle so, MN is the diameter given figure is

Q: The midpoint of AB is at (-5,2). If A=(−8,6)), find B.

Q: Which figure does not have two pairs of parallel sides and diagonals that bisect each other? O…

Q: 2) Is a triangle with vertices G(3,2), H(8,5), and K(0,10) a right triangle? Justify

A: Let (x1,y1) and x2,y2 be two point ,then by distance formula distance between this point d =…

Q: A plane P cuts sphere O in a circle that has diameter 20. If the diameterof the sphere is 30, how…

A: We have given that we have a plane P that cuts the sphere with center O having diameter 30 units at…

Q: (b) How do you find the distance from a point to a plane?

A: Formula to find the distance from a point (x1 , y1 , z2 ) to the plane Ax+By+Cz+d=0 is given by:

Q: The midpoint of AB is M(-4,0). If the coordinates of A are (-6, 4), what are the coordinates of B?

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: W and T are the midpoints of the legs, RV and SU, of trapezoid RSUV. If UV = 22 and TW = 35, what is…

Q: Find the value of x and y in the rhombus. yo 3x° 2x° y = IL ||

Q: Q1 What is the center and the radius of the the circle(x + 4)² + (y + 6)2 = 64? %3D O center…

A: see 2nd step.

Q: Select all the statements that are true about rhombus MNPQ. Q O MNQ= PNQ NP1OP NR = QR !3! NQ = MP…

Q: Find the points on the sphere x² + y° + z?=1. that are closest to and farthest from the point (2, 1,…

A: Given, x2+y2+z2=1 ; point (2,1,2)

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: if (u, v) and (s, t) are two distinct points in the plane, what is the distance between them?…

Q: Is parallelogram RSTU a rhombus? 41° 42°

Q: What is the distance between the point P(-2,5, 3) and Q(6, 4, -2)? | O 3/10 O 2v22 O 90 O 4/3

Q: The midpoint of AB is M(2, –2). If the coordinates of A are (-2, 1), what are the coordinates of B?

A: Recall: Mid point Formula: The midpoint of M(x,y) of the line segment from A(x1,y1) to B(x2,y2) is…

Q: J(5. -1), K(8, 2). L(11, 10), M(8, 7)

Q: What is the area of the triangle whose vertices are at (p,q) (3p,q) and (2p,3q), where p.q>0 ? C2pq…

A: We have to find the area of the triangle whose vertices are p,q,3p,q, and 2p,3q.

Q: 4.ABCD is a rhombus because:

Q: The midpoint of AB is M(6, 1). If the coordinates of A are (4, 8), what are the coordinates of B?

A: As we know that the midpoint formula: Mid point x,y=x1+x22,y1+y22 Given: Mx,y=6,1Ax1,y1=4,8

Q: The midpoint of AB is M(0, –4). If the coordinates of A are (–8, –7), what are the coordinates of B?

A: Coordinate of the midpoint of a line joining the points (x1,y1) and (x2,y2) is (x,y)=x1+x22, y1+y22

Q: Reflect the triangle over the line y=x with the rule (x,y)→(y,x) -8- 4- -8 -4 4 8 -4- --8

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1) B(3,1,-5) and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: The midpoint of AB is M (1, 6). If the coordinates of A are (8, 4), what are the coordinates of B?

A: To find B coordinate.

Q: Can a rhombus be a rectangle? When can a rhombus be a rectangle?

A: A rhombus is defined as a parallelogram with four equal sides. A rectangle has two pairs of…

Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x-3, y+3)? 8 4 -4…

A: Given: The rule for the translation is x, y→x-3, y+3.

Q: 50

A: Here given graph as Use the basic property of the rhombus 1. The opposite angles of a rhombus are…

Q: Consider quadrilateral JKLM with the following coordinates: I(1, -2),K(-1, -4), L(-3, -2), M(-1,…

A: The coordinates of J are = (1, -2) The coordinates of K are = (-1, -4) The coordinates of L are =…

Q: TQRS is a rhombus, what is the value of x?

A: rhombus bisects each other at 90 degree angle.

Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x- 3, y+3 4 8 x…

A: Given translation is x,y→x-3,y+3.

Q: Show that the set of all points P, that are twice as far from (-1,5,3) as from (6,2,-2) is a sphere.…

A: Let's find.

Q: 2. Triangle RST with R(-2, 1), S(2, -7), T(-6,-11): k = 3/4, centered at (-2, -7) %3D

A: For the Given triangle, RST scaled R'S'T' is calculated as shown below

Q: Describe a method for determining whether four points P , Q , R , and S , lie in the same plane

A: We know that if some points lie on the same plane, then their slope would be same.

Q: Transform the triangle with the rule (x,y)→(x+2,y-4)

A: From figure, it is clear that the points of the triangles are as given below (1,3),(2,1) and (5,4)

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

Q: In the rhombus, m angel 1=106. What are m angel 2 and m angel 3? The diagram is not drawn to scale

A: Let say, following is the diagram of rhombus: Now, we know that the opposite angels of a rhombus…

Q: hat are the coordinates of the point on the directed line segment from (–7,5) t ',-9) that…

A: In the question we need to find the coordinates of a point which divides the line segment joining…

Q: The midpoint of AB is M(1,3). If the coordinates of A are (-1, 5), what are the coordinates of B?

Q: P, Q and How far is the point S from the plane that contains the points R?

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the value of x and y in the rhombus. yo 3x 2x x= 30 y 3=

Q: The midpoint of AB is at (0, 0). If A = (-5, 4), find B. B is: (

A: Given :A=-5, 4Mid Point of AB=0,0

Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? 4.1 © 8.5 O 6.4

A: We need to evaluate the distance between the following two points x1,y1 = 5,2 and x2,y2 = 1,-3

Q: The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?

Question

Which of the following point is the farthest point on the sphere æ? + y² + z²=4 from the point (3,1,-1)?
O a.
O b.
VII
d.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2 : Finding the farthest point.

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 12 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to one or more planes?
Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.
Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to a point?
Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle. Exercises 34. 35
Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points E,F,G,H, and K belong to the locus of points in the plane that are at distance r from line l?
Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points A,B,C,D, and E belong to the locus of points in the plane that are at distance r from point P?
Prove the statements in Review Exercises 32 to 36 using analytic geometry. If the diagonals of a trapezoid are equal in length, then the trapezoid is an isosceles trapezoid.
Does a right circular cone such as a wizards cap have a symmetry with respect to at least one plane? b symmetry with respect to at least one line? c symmetry with respect to a point?
Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or false. a B lies between A and C. b AB is a ray with endpoint B.
If MNPQ is a rhombus, which formula from this section should be used to calculate its area? Exercise 46