Question 4 Find the points on the ellipse 4x² +y² =4_that are farthest away from the point (1,0). Show and explain ALL your work (Step by Step)

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Q: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

A: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

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A: Here we have to find the equation of the ellipse in the standard form with center at the origin.…

Q: What is the standard equation of an ellipse with major axis of length 22, foci 9 units above and…

A: Since the major axis is of length 22   2a=22⇒a=11 The foci are 9 units above and bellow the center.…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: First find the major axis minor axis length and central of ellipse than write in standard form of…

Q: Find the standard form of the equation of the ellipse satisfying the conditions. Major axis…

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Q: Find an equation for the sphere centered at (1,-5, 4) with radius 4.

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Q: d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is…

A: Center of the ellipse at (1, -2)  The major axis is horizontal and eccentricity e =  0.6

Q: What is the equation of the hyperbola with Foci at (5, 0) and (-5, 0) and conjugate axis of length…

A: Use basic concept of hyperbola

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is…

Q: Write the equation in standard form of the conic with the given characteristics: circle: diameter…

A: We find the center of the circle by finding the midpoint of P(-4,-3) and Q(-10,5)

Q: According to Kepler, the orbit of the planet could be drawn as ellipse and with the sun as one of…

A: We have to find the equation of Pluto’s orbit when  the orbit of the planet could be drawn as…

Q: Center at (-2,3): major axis is horizontal; passing through (1,4) and (2,3)

A: The center at (-2,3), the major axis is horizontal and passing through (1,4) and (2,3). We have to…

Q: find the equation of the tangent line through the point (2,-2) to the hyperbola x2-y2=16.

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Q: 5. Describe the conic section C whose equation is

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Q: Example 4: Obtain the differential equation of the family of ellipses whose axes coincide with…

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Q: find the equation of the conic section indicated Ellipse with vertices (±8, 0), foci (±√3, 0)

A: Coordinates of vertices - ±a, 0 = ±8, 0a = 8Coordinates of foci - ±c, 0 = ±3, 0c = 3Let's find b -…

Q: Find an equation of the hyperbola having foci at (3, -11) and (3, 7) and vertices at (3, -4) and (3,…

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Q: Find the standard form of the équation of the ellipse satisfying the given conditions. Endpoints of…

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Q: This problem can be solved by using the method of example 5 in section 6.1 of the textbook. Suppose…

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Q: (Ellipse) Center at the origin, its foci is on the x-axis, the length of the major axis equal to 3…

A: From the standard form of the equation of the horizontal ellipse (x-h)2a2+(y-h)2b2=1,  Here, a >…

Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A: Given that: Centre of ellipse =(4, -4)Major axis, 2a=8End point of minor axis = (7, -4)

Q: Regarding the orbit of the planet Mercury, we know, according to the National Encyclopedia, that it…

A: Given information: The minimum distance to the sun is 0.31 AU and that the maximum distance is 0.47…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: Here first we will find center point of ellipse then we will find values of a2 and b2 , then we will…

Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

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Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

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Q: An ellipse has foci at the points (-10, 1) and (6, 1) and one vertex at (10, 1). Find the point on…

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Q: Length of major axis: 10, length of minor axis: 8, foci on x-axis, ellipse center (0, 0)

A: Given  Center: 0,0, 2a=10 , 2b=8 , h,k=0,0

Q: Find an equation in standard form for the ellipse with center at (7, 4), horizontal major axis of…

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Q: Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)

A: Since you have posted multiple question but according to guidelines, we will solve first question…

Q: The orbit of Halley's Comet is an ellipse whose major axis is 3.34 × 10 ^ 9 miles long, and whose…

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Q: Write the equation in standard form of the conic with the given characteristics: hyperbola: foci:…

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Q: Find an equation for the conic whose graph is shown: yA Directrix y = -12

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Q: Find the coordinates of the vertices of the ellipse with foci at (-6,-3) and (10,-3) and has minor…

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Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: Given

Q: Find the dimensions of the rectangle with maximum perimeter that can be inscribed with sides…

A: Assume the length of rectangle be 2x and width of the rectangle be 2y. Therefore, the perimeter is…

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Q: 17. Ellipse: center (-2, 1), vertex (-2,5), passes through (0, 1)

A: Equations of curve is

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: Find the equation of the ellipsoid passing through the points (±3,0,0), (0, ±4, 0) and (0,0,±7) = 1

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

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Q: 8. Write the equatlon of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

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Q: The vertices of an ellipse of eccentricity 0.5 lie at the points (0, +-2). Where do the foci lie?

A: The vertices of an ellipse of eccentricity is 0.5 lies on (0,+-2). Find the foci

Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

Q: Write the standard form of the equation of the conic section with the given characteristics. 16.…

A: NOTE: Refresh your page if you can't see any equations. . the standard equation of the left-right…

Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: Given- An ellipse has following parameter, major axis horizontal with length 12, length of minor…