Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 36 1 49 (-х, у) (х, у) (-x, -y) (x, -y) (Give your answer as a whole or exact number.) S =

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: ?^2+16?=4?−32 vertex : (  ,  ) focus : (  ,  ) directrix ? =

A:

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: Determine the vertex of a parabola y=-2x^2+15x using calculus (use first principles to solve)

A:

Q: Determine an equation to represent the following parabola in intercept form

A: This question is about finding equation of curve by its points

Q: Determine an equation for the parabola whose vertex is (- 2, 3) and goes through the point (4, - 6)

A: Given (h, k)=(-2, 3) and parabola passes through (4, -6).

Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

A:

Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition