largest area for the rectangle shown in the figure. Its base is on the x axis and its other two vertices are above the x axis, lying on the parabola y=8-x^2

Q: A Norman window consists of a rectangle topped with a semicircle. Find the dimensions of the window…

A: Solved below

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

A:

Q: A page of 216 square inches is to have margins of 1 inch on either side and 1.5 inches at the top…

A: According to the question, Let x is the width of a the book page. Area given=216 square inches, Area…

Q: A wire of length 10 cm is divided into two parts which are bend in the form of  a  rectangle if it…

A:

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in an equilateral…

A: Use property of equilateral triangle and rectangle to solve this

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

A:

Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches…

A:

Q: Find the dimensions of the rectangle of maximum area which can be laid out within a right triangle…

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given: Length of wire for electric fencing is 2000 m, and one side of plot is bounded by a river. To…

Q: A rectangle is bounded by the x-axis and the parabola y=9-x². What length and width should the…

A: Solution :-   Given,A rectangle is bounded by the x-axis and the parabola y=9-x2Since, y aixs is the…

Q: A farmer has 600m of fence to enclose a rectangular divided pasture adjacent to an existing wall. He…

A: In question given that  farmer has 600m of fence to enclose a rectangular divided pasture adjacent…

Q: A farmer has enough money to build only 150 meters of fence. What are the dimensions of the field he…

A: We know that, The perimeter of a rectangle is 2l+b where l is the length and b is the breadth of the…

Q: Two hundred forty meters of fencing is available to enclose a rectangular playground. What should be…

A: Consider the given perimeter of the rectangle as P=240m

Q: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a…

A: topic- application of derivatives

Q: A wire of length L- 100cm is divided into two parts. One forms a circle and the other forms a…

A:

Q: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

A: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

Q: A rectangle is inscribed in a parabola y²=8x with one of its vertical side passes through the point…

A:

Q: An open box is to be made from a square piece of material, 12 inches, by cutting equal squares from…

A: Here we use the concept of APPLICATIONS OF DERIVATIVES

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A:

Q: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…

A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…

Q: The maximum volume of a box with a square base is taller than it is wide. In order to send the box…

A:

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

A:

Q: a rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

A: Consider the given information.

Q: A poster must have 32 sq. in, of printed matter with margins of 4" each at the top and 2" at each…

A:

Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from…

A:

Q: A rectangle is bonded by the X axis and the Parabola f(x)=16 - 0.25x^2. What length and width should…

A: NOTE: Refresh your page if you can't see any equations. . the length of the rectangle is  and the…

Q: You have to cut four equal squares from each corner of the 8.5" x 11" paper in order to make an open…

A: The volume of a cuboid is given by the formula V=l×w×h. Here, l is the length of the box, w is the…

Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

A:

Q: 6. A square sheet of cardboard of side 12 in. square is used to make an open box by cutting out…

A:

Q: On a site, in the form of a right triangle whose legs are 2 and 3 meters long, a shed must be built.…

A:

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use…

A:

Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

Q: A rectangle is to be inscribed between the parabola y = 4 -x² and the X- axis, with its base on the…

A:

Q: A piece of cardboard is 14 inches by 10 inches and the corners were to be cut out and fold up the…

A: Let squares of x inches will be cut from the corners.So the length of the…

Q: . A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288…

A: It is given that the perimeter, P of the window is 288 inches and we have to radius of semicircle…

Q: An open box is to be made from a square piece of material, 12 inches by 12 inches, by cutting equal…

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Find the dimensions of the rectangular box of maximum volume formed by a given rectangular sheet.

Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 –…

A:

Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: The numerical is interpreted as shown in the drawing below;

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 –…

A: Given data: The given equation of the parabola is y=8-x2. The below figure shows a rectangle is…

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = √9-x². Vertical cross…

A: Given: Let us consider the given semi-circle, y=9-x2 Let's determine the Area of the square.

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A: Let a be the width and b be the height of the poster. Let the area of the poster to be minimized be…

Q: By cutting away identical squares from each corner of a rectanglar price of cardboard  and folding…

A: let x side square cut from the end of rectangular cardboard

Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.