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: Which option is the answer

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Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

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: Use the method of completing the square to transform the quadratic equation into the equation form…

A: First Make the coefficient of x^2 unity and then add and subtract the square of 1/2 of coefficient…

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

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

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Q: Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

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

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Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Find the center and the radius. (x - 2)^2 + (y - 5)^2 = 100

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Q: Find the area of the quadrangle with vertices Area = (5,1). (-4, 5). (-3,-4), and (4, -3).

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Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

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: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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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…

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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