A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y= 441-x2. What are the dimensions of the rectangle with the maximum area? What is the area? In the rectangle with the maximum area, the shorter dimension is about and the longer dimension is about. (Round to two decimal places as needed.) The maximum area of the rectangle is about (Round to two decimal places as needed.)

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7-².…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=6−x2.…

A: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=6−x2.…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =1- x².…

A:

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: 3. A rectangle its base on the r-axis and its upper two vertices on the parabola y = 10x – x². What…

A:

Q: 10 – x?. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola…

A:

Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x-…

A:

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A:

Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

A:

Q: parabola

A:

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 −…

A:

Q: = A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y -4x²…

A: Maximize area

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 –…

A: The rectangle has its base on the x axis, with the length of the base 2x, and height of the…

Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: Given that,A triangle is inscribed in a parabola such that the first vertex (point A) is at the…

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: We’ll answer the first question  . Please submit a new question specifying the one you’d like…

Q: A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two…

A: Answer

Q: A rectangle has its base on the x-axis and its two upper corners on the parabola y = 12 – x. What is…

A: THE GIVEN QUESTION CAN BE SOLVED AS SHOWN IN STEP 2. Area of the Rectangle = Length × Width .

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

A:

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y = 7…

A: here the width of the rectangle is  w=2x and the right is l=7-x2

Q: = 2 – x2. What are the A rectangle is inscribed with its base on the x-axis and its upper corners on…

A: Given,

Q: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

A:

Q: Consider a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

A: We need to find an equation of parabola that intersects the x-axis at (-1, 0) and (3, 0). Thus,…

Q: 1. A rectangle has its base on the x-axis and its two upper corners on the parabola y= 12 – x. What…

A: The diagram for the given condition is shown below. 'A' lies on the parabola, y=12-x2 Coordinates…

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y =…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 4 –-…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11 -…

A: Given: The equation of the parabola is y=11-x2. Consider the following figure. Point P is the top…

Q: A rectangular object 25 m wide is to pass under a parabolic arch that has a width of 32 m at the…

A: The arch can be modeled by the vertex form of a parabola centered at the origin with the base being…

Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

A: The given equation of parabola is y2=4ax. The objective is to calculate the area bounded by the…

Q: A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola…

A: Please see the white board. The blue line is the parabola. Rectangle has been shown in the green…

Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

A:

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y =…

A: Refer to the figure shown below:

Q: the length of the latus rectum of the parabola 4y=x^2-6x+21 is

A:

Q: 8. Find the function that will generate the points on a parabola that opens down, has a base of 4…

A: A parabola has base 4 and height 6

Q: 1. Consider the parabola whose directrix is at x = -7 and whose focus is at (-1, 1). What is the…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1-².…

A:

Q: A ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the ferris…

A: I am answering first question .

Q: A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola…

A: Length of the rectangle is 2xand breadth is y. The expression for the area of rectangle is given by…

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

A:

Q: 9.  Find the shorted distance from point A(2, 1/2) to a point on the parabola y = x2. And find the…

A:

Q: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must…

A: We have to find how many units must be sold in order to have the greatest revenue.

Q: If a is greater than or equal to zero the equation of the parabola is of the form?

A: Parabola is a three dimensional curve, where any point is at fix distance from the point called…

Q: The area of the parabola x^2=4y-4 cut through its latus rectum is revolved about the horizontal line…

A:

Q: What is the length of the latus rectum of the parabola: y2 – 4y – 8x – 28 = 0?

A: Given, y2 – 4y – 8x – 28 = 0 General equation of parabola with center (h,k) (y-k)2=4a(x-h)    ---(i)

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 –…

A: It is given that a rectangle is inscribed with its base on the x-axis and its upper corners on the…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7−x^2…

A:

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x2. What…

A: First draw the situation roughly