Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r = 4 (Figure 12). FIGURE 12

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

A:

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

A:

Q: As the side length of a cell increases, the surface area to volume ratio decreases. This has…

A: surface area = 6side length2 volume = side3

Q: A goat is tethered to a stake In the ground by a rope that is 10 feet long in terms of pi, what is…

A:

Q: if an open box is to be made using a square sheet of tin, 20 inches by 20 inches, by cutting a…

A:

Q: A rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

A: let the dimensions of container according to question are :lengh=a,width=a, and height =hsurface…

Q: You are building five identical pens adjacent to each other with a total area of 1000 square meters…

A:

Q: A gutter having a triangular cross section is to be made by bending in the middle of a strip of…

A: Here is the solution of the given problem.

Q: Find the length L and W (with W(less than or equal to) L) of the rectangle with perimeter 48 that…

A:

Q: A farmer wishes to enclose a rectangular area divided into two sections as shown in the figure…

A: Given that a farmer wishes to enclose a rectangular area divided into two sections. One side of the…

Q: In constructing an open rectangular box from 867 ft of material, what dimensions will result in a…

A:

Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

A:

Q: Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other…

A: Given Length of the wire = 4 ft One piece forms a circle with radius r. The other piece forms a…

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

A:

Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and its…

A: we have to find the maximum volume of a cylindrical soda can such that the sum of its height and its…

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: composed

A:

Q: Your client wants you to construct a rectangular family pool in front of the house with perimeter of…

A:

Q: An open box is to be made from a 6 ft by 16 ft reetangulas card board by cutting out equaL squares…

A:

Q: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

A: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

Q: In constructing an open rectangular box from 300 ft² of material, what dimensions will result in 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 bounded by the x-axis and the semi-circle y = √(36 − x^2). What length and width…

A:

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

A:

Q: What is the maximum area of a rectangle inscribed in a right triangle with legs of length 3 and 4 as…

A: Given: Formula used: The area of a rectangle is length * width.

Q: The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval…

A:

Q: Find the dimensions of a rectangle of maximum area inscribed in a circle of radius 4. (Must show…

A: Let ABCD be the rectangle inscribed in the circle of radius 4. AC and BD are the diameters of length…

Q: Find the dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible.

A:

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

A:

Q: A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions…

A: Here, the volume of the box is given by: V=lbh Here, for the given box, l=9-2x, w=10-2x,h=x. So,…

Q: A parkway 20 meters wide is spanned by a parabolic arc 30 meters long along the horizontal. If the…

A:

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

A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…

Q: The lower edge of a mural, 12 feet high, is 6 feet above the observer's eyes. Under the assumption…

A:

Q: Suppose that 477 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given that: Length of total fencing =477ft                             NOTE: As per our answering…

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: What the maximum area of a triangle which is inscribed in a circle of radius 4cm and one of its…

A:

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

A:

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: Find the dimensions of the rectangular box, open at the top, which has a minimum surface area if the…

A: Let us consider the width, length and height of the rectangular box are x, y and z respectively.…

Q: Chapter 6, Section 6.1, Question 007 Sketch the region enclosed by the curves and find its area. 1 y…

A: Question 007 Area = ∫x=141∫y=5x25xdy dx= ∫x=141y5x25x dx= ∫x=1415x-5x2dx= 5x3232-5x33141 =…

Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

A: Given :             Cube side a = 6 feet Error in side :                       ∆a = 1.5 inches∆a =…

Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

Q: What are the dimensions of a rectangle that will maximize the area given its imeter is 100 units?

A: Given: Perimeter of rectangle is 100 units   To Find: Dimensions of a rectangle that will maximize…

Q: Find the dimensions of a rectangle with area 100 m? whose perimeter is as small as possible? Find…

A: to find:- dimensions of the rectangle. minimum perimeter.

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: Is the rectangle of fixed area whose perimeter is a minimum a square?

A: Given Area of a rectangle =  square units-----(1)   Let length of the rectangle be feet and the…

Q: A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that…

A:

Q: 2. A single-lane street 10ft wide goes through a semicircular tunnel with radius 9ft. How high is…

A: