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: 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: 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: 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 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.