Best Answer

l=2x

h=6-x2

A=lh=2x(6-x2)=12x-2x3

A will have a maximum when it's derivative is 0.

dA/dx = 12-6x2 = 0

12=6x2

x=+/- sqrt(2)

Since the length of the rectangle has to be positive, x = sqrt(2)

A = 2*sqrt(2)*(6-2) = 8*sqrt(2) ~= 11.314

Q: What is the answer A rectangle has its base on the x -axis and its upper vertices on the parabola y equals 6-X squared Find the largest area the rectangle can have?

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All rectangles are "squared" in that they have 4 corners (vertices) that are 90-degree angles. But a rectangle is only "a square" if all four sides are equal in length.

An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.

Yes.

Y = X2 forms a parabola

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A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.

The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.

The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.

All rectangles are "squared" in that they have 4 corners (vertices) that are 90-degree angles. But a rectangle is only "a square" if all four sides are equal in length.

An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.

It is the equation of a parabola.

Yes.

The area of rectangle is : 18.0

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If the number in front of the x squared is negative, then the parabola will open upwards. The opposite occurs when the number is positive.

-5