Answered: Consider the point P (-1,0)on the…

Consider the point P (-1,0)on the ellipse 4x2 + y? What is the value of a? Answer to 3 significant figures. = 4There are two points (a, b) and (a, c) on the ellipse whose distance from Pis a maximum.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.2: Ellipses

Problem 1E: An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed...

See similar textbooks

Related questions

Q: Determine the greatest and least distance from the origin to a point on the ellipsoid 9x2+4y2+z2=36

A: Here is the solution of the given problem. Application of Lagranges Multiplayer.

Q: 4. The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: Find an equation of the hyperbola that has foci at (-13,0) and (13,0), and asymptotes y=3/2x and…

A: Given:

Q: Find the dimensions of the rectangle of maximum area, with sides parallel to the coordinate axes,…

A: Let 2x and 2y be the length and width of rectangle with sides parallel to the coordinate axes, that…

Q: Consider the point P(−1,0) on the ellipse 4x2+y2=4. There are two points (a,b) and (a,c) on the…

A: We will find the value of a as following.

Q: A rectangle is to be inscribed inside a semi-ellipse + = 1, -2 <IS2 and 0 y S 3. Give a rough sketch…

A: Solution is here

Q: What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

A: Write equation of parabola

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

Q: ind the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

Q: Find an equation of the hyperbola that has foci at (-15, 0) and (15, 0), and asymptotes y= x and y=

Q: Find the equation of the vertical ellipse that is centered at ( 16, 24), passes through the point (…

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

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

Q: Find an equation of the ellipse with foci at (−3,7)and (−3,−3) and whose major axis has length 20.…

A: The foci of the ellipse is (−3,7)and (−3,−3). The length of the major axis is 20.

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).

A: Let (x,y) is the farthest point on the ellipse from (1,0) Distance between (x,y) and (1,0) is:…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 + y^2/12^2 = 1. The…

Q: 3) A large racetrack can be modeled by the ellipse x2 + = 1, where x and y are measured in…

A: An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The…

Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here Focus (-a, 0) Now, we have…

Q: Solve for what is being asked for in each item. Show your complete solution on a clean sheet of 1.…

A: 1) Given: x2169+y225=1 x-02132+y-0252=1 This is in the form of ellipse x-h2a2+y-k2b2=1…

Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

Q: Find the shortest distance +rom the point (0,5)to the ellipse 3 y? = x'

Q: An ellipse has its major axis on the x-axis, center at ( -3, 0 ), one of the vertices at ( -5, 0 )…

Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem. We know Distance (D) = sqrt {(x-x1)2…

Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

Q: The equation x2 − xy + y2 = 3 represents a “rotated ellipse”, that is an ellipse whose axes are not…

A: Given: The equation x2 − xy + y2 = 3 represents a “rotated ellipse”, that is an ellipse whose axes…

Q: Compute the length of the latus rectum of the ellipse x2 + 2y2 +4x+ 4y +4=0

A: Given: x2 + 2y2 +4x+ 4y +4=0

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 5) and (0, 1). =D ?

Q: Find an equation of the hyperbola that has foci at (-10,0) and (10,0) , and asymptotes y=3x and…

Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). smaller…

Q: If tangent lines to the hyperbola 9x2 − y2 = 36 intersect the y-axis at the point (0, 6), find the…

Q: Find an equation of the ellipse with foci at (-5,9) and (-5,-10) and whose major axis has length 22.…

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

Q: What is the equation of the parabola with a vertex at (4.8) and a directrix at y = 53

A: This is a simple question based on conic section (Topic is parabola) before attempting this question…

Q: . The general form of equation of an ellipse is given by Ax + Cy + Dx + Ey +F = 0, where A and C are…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The…

A: Explained below

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x, y) =…

Q: Given the ellipse x^2/16+ y^2/4=1. What is the area of the largest rectangle that can be cut from…

Q: Find the equation of the ellipse with foci at F;(0,1), F2(0,8), and has major axis of length 12.…

Q: A rectangle is inscribed in an ellipse so that two of its sides pass through the foci. If the x2…

A: The distance between foci of an ellipse x2a2+y2b2=1 is 2ae Where, e=1-b2a2 (a>b)

Q: Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the…

A: To determine the equation of the ellipse.

Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are…

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the…

Q: 4x^2 + y^2 = 4 that are the farthest away from point (1,0)

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

Q: 2. Find the equation of the ellipse in standard form centered at the origin having a major axis of…

A: We need to find the equation of the ellipse in standard form centered at origin having major axis of…

Q: Which is the corresponding equation of the hyperbola with foci located at (−8, 0) and (8, 0) and a…

A: Given data is : Foci are -8,0 and 8,0 The transverse axis is 14 unit

Q: Find an equation of the hyperbola that has foci at (-10, 0) and (10, 0), and asymptotes y = 7x and…

Q: Which is the equation of an ellipse with direcrices at x = =-4 and foci at (2,0) and (-2,0)

A: Center is the midpoint of the foci midpoint of (2,0) and (-2,0) is : Directrix = -4

Question

Consider the point P (-1,0)on the ellipse 4x? + y? = 4There are two points (a, b) and (a, c) on the ellipse whose distance from Pis a maximum.
What is the value of a? Answer to 3 significant figures.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here