The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis and of length 8, and passing through (0,3) is equal to 3/3 (a) 2 (b) 32/3 (e) V3 16/3 (d) 3 25/3 (e)

Q: 7) What is the equation of the parabola below? (-1,3) (4,0) -5 A) y= -(x+ 1)2 + 3 B) y 1)2 - 3 C)…

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Q: Sketch the Ellipse with the equation x^2/81 + y^2/16 = 1

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Q: By completing the square, put the equation 2 – 64y tử + 42 – 16z = –68 Into the standard form…

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Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Parameterize an ellipse which begins at (-3, 3) at t=0 and then passes through (-6, 1), (-3, -1),…

A: First we have to find equation of ellipse in rectangular coordinate.

Q: what is the standard formof ellipse whose foci are f^(1)(-8,0) and f^(2) (8,0)

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Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: FIND THE VERTEX USING X=-B/2A, THEN USE TABLE OF VALUES AND FIND 4 OTHER POINTS FOR A PARABOLA…

A: (a) y=x2+2x-4 We know that the vertex of the parabola y=ax2+bx+c is -b2a,y Therefore comparing the…

Q: Let xo E (0, o0) be the value ofx E (0, 0o) that minimizes the function f: (0, co)R defined by f(x)…

A: The given function is fx=x2+x-2. the graph of the given function is, Clearly it is not defined at x…

Q: The foci of the ellipse with given equation y2 = 1 are 36 x2 25

A: The given ellipse has mjor axis along y axis.

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Given an ellipse has foci at (7,-2) and (7,-8) and the endpoints of the minor axis are at (11,-5)…

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Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: What is the equation of the ellipse with the center at (0,0) that passes through the points (2,0),…

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: What is the equation of the ellipse with center at (0, 0) and vertices at paints (2, 0). (0, 3), and…

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Q: What are the foci of the ellipse given by (z-3)2 (y-1)2 - = 1? 25 O (-4, 1) and (4, 1) O (3, 5) and…

A: Topic : foci of an ellipse

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.