0
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?
Wiki User
∙ 13y ago
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
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
Are all rectangles square?
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.
How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
Parabola y equals one-fourth x squared?
Yes.
What is the curvature of y equals x squared?
Y = X2 forms a parabola
What is the vertex of the parabola y equals 2x squared plus 12x 13?
(-3, -5)
What are squared ends of a rectangle?
Vertices.
What is the parabola?
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 What is the coefficient of the squared term in the parabola's equation?
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 What is the coefficient of the squared expression in the parabola's equation?
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.
What is the equation for a parabola?
The general equation for a parabola is y = ax^2 + bx + c, where a, b, and c are constants that determine the shape, orientation, and position of the parabola.
Are all rectangles square?
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.
How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
What is Y equals x squared plus 1?
It is the equation of a parabola.
Parabola y equals one-fourth x squared?
Yes.
What is the area of a rectangle 2cm by 9cm?
The area of rectangle is : 18.0
The vertex of this parabola is at 4 -3 When the x-value is 5 the y-value is -6 What is the coefficient of the squared expression in the parabola's equation?
-3
When the parabola concave downward and upward?
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.
