Find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x? + 16 = 1 maximum value: minimum value:

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 an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

Q: write in standard(vertex) form the equation for the parabola which has the following properties:…

A: Given, Parabola equation has zeros at x=1 and x=7. Maximum value = 12 The standard form of the…

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

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