Find the largest and smallest outputs of f(x,y)=x2+2y2 on the weird slanted ellipse g(x,y)=x2+y2+xy=3

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 9x² + y² = 6. maximum value=…

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Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: Find the points on the ellipse  (x2/9) + y2 = 1 closest to the point (2, 0).

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Q: P(x, y) is any point on the ellipse 16x\power{2} + 25y\power{2} = 400 and F\index{1}=(3,0),…

A: We have 16x2 + 25y2=400         or      x225+  y216=1        or       a2=25 and  b2=16

Q: 3 (a) Express the equation of the parabola y' -8x-4y-20 0 in standard form. Hence, find the vertex,…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.