The graph of 1 represents an elipse. Determine the part of the ellipse represented by the given equation. a. y = 2/1 b. y = -2 C. x = 3/1 d. x = -3,

Q: ...***... .. . .. The area of an ellipse with axes of length 2a and 2b is nab. The percent change in…

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

Q: 6. What is the equation of the ellipse whose graph is shown below? (1,4) (7. 0) C(1,0) (4, -54 3 A)…

A: Graph of the ellipse is given, we have to find its equation

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A: Since the x-coordinates of the vertex and focus are the same, they are one of top of the other. So,…

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Q: Find the equation of tangent lines to the ellipse parallel to the line y =3. The equation of ellipse…

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Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has the height of 16 feet.…

A: Solve for the

Q: The equation x2 + Bx + y² + Cy + D = 0 is a O hyperbola O parabola O ellipse circle

A: Use the general form of an equation of a conic section.

Q: Find the equation of the asymptote with a positive slope for the following hyperbola. (x + 8)? 1 (y…

A: Given hyperbola s standard equation of hyperbola : Therefore,

Q: Hx'+y°-4x+Dy = - 2

A: This question is based on formation of perfect square and solving inequality notation.

Q: Graph the given ellipse 22 9 + y² 4 1.

A: given equationx29+y24=1

Q: 9. Write the equation of a parabola in standard form if the vertex is at (5, 0). And opens upward…

A: The parabola vertex (5,0) and focal length 10 units

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: Consider the point P (-1,0)on the ellipse 4x2 + y? What is the value of a? Answer to 3 significant…

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Q: 6. What is the equation for the slope of the ellipse+= 1 at (x₁, yi)? A. B. C. D. E. y' = y' = b²y₁…

A: We have to find the equation of the slope of ellipse at the point (x1,y1).

Q: Identify the curve represented by the equation 21x² +21y² – 24xy= - 3 from the options below. O1.…

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Q: The equation of the asymptote having a positive slope to the shown hyperbola is Select one O a y= 3…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: Opens downward with focus 10 units away from the vertex.

Q: Which point or points on the ellipse x? +4y? = 4 are furthest away from the point (0, 1)?

A: The Equation of the given ellipse is, x2+4y2=4 Let the furthest away point on the ellipse, from the…

Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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Q: 37. Suppose you go to a company that pays 0.03 for the first day, 0.06 for the second day, 0.12 for…

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Q: 3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22…

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Q: Find the y-intercept of the tangent to the ellipse x + 3y = 1 at the point %3D 1/2

A: We differentiate both sides with respect to x and then solve for dy/dx

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: the graph of the equation X+kry + 49y² =7 where k is any positive constant less than 14, is an…

A: Given equation, x2 +kxy+49y2 = 7 When ,k < 14 it focuses as an ellipse. When k>14 it focuses…

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Given :

Q: Adjust h, k, and t to reproduce this picture, only with your ellipse being purple instead of green.…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: Find the points on the ellipse x^2 + 9y^2 = 9 and the line x + y = 10 that are closest and farthest…

A: Distance between the two points: - The length of the line segment connecting two places is called…

Q: The equation x^2+ xy + y^2 = 1 forms an ellipse. In the second quadrant, the line tangent to the…

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Q: Find the area inside the ellipse x2a2+y2b2=1.

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

A: The hyperbola has foci at -2,0 and 2,0 and asymptotes y=x and y=-x

Q: Find the point on the ellipse x2 + 6y² + 3xy = 40 with the largest x-coordinate (Figure ). -8 FIGURE…

A: Given: x2+6y2+3xy=40

Q: Find the equation of the asymptotes for the hyperbola (y – 5)2 – (x + 5)2 = 36. a. y = ±x…

A: Asymptotes are the straight lines which tend to touch the curve at infinity.

Q: (y+ 4)² (x-3)² = 1 25

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Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

Q: (x-1)° , (y+5)² 2) Graph the ellipse 4 =1 9 +

A: The equation of the ellipse is given by x-124+y+529 = 1 To evaluate : The graph of the ellipse.

Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: (-2,3) Directrix: y=7 To find: The equation of the parabola.

Q: Find an equation of the parabola with focus (4, 4) and directrix x=0.

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Q: The area of the ellipse+: 25² = 1 is 30π. What is the value of a?

A: solution:-we know that the formula of area for an elipsex2a2+y2b2=1Area=πab

Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Write the equation for a parabola with a focus at (-6,0) and a directix at x=-2

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

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Q: Q9: Show that in an ellipse b2 = a² (1 – e? ).

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

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Q: Find the envelope of the family of ellipses x2/a2+y2/b2=1 having the same area.

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Q: Find the slope of the ellipse x^2 + 4y^2-10x- 16y +5=0 at the point where y=2+ 8 0.5 and x-7* O…

A: Given equation of the ellipse is as following: x2+4y2-10x-16y+5=0. We know that the slope of an…

Q: which of the following is a covertex of the ellipse 2 Sx2+ 1642-100x + ICoy-1100-0?

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Q: Find a, b, and c so that the graph of the parabola with equation y=a+bx+cx^2 passes through the…

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Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

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