Maximum-area rectangles Of all rectangles with a perimeter of10, which one has the maximum area? (Give the dimensions.)

Q: A fence is to be erected in order to enclose a rectangular pasture whose area is to be 1 square…

A: We use calculus to solve this problem. First we find the function to minimize and then we find the…

Q: Maximum Area A rancher has 400 feet of fencing with which to enclose two adjacent rectangular…

A: Given: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see…

Q: A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The…

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Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

A: Let x be the length of playground. Y be width of playground. The fencing is done as shown in figure.…

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

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Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: We can solve the given problem by using the second derivative test.  Second derivative test :Let…

Q: 21. A rectangle is drawn in the first quadrant so that its base is on the x axis and its left side…

A: Derivative application

Q: A rectangular box without a lid is to be made from 12 m^2 of cardboard. Find the maximum volume of…

A: A rectangular box without a lid is to be made from 12 m^2 of cardboard. Find the maximum volume of…

Q: Minimum-perimeter rectangles Of all rectangles with a fixedarea A, which one has the minimum…

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Q: A piece of wire 12 cm long is bent in the shape of a rectangle. Find the maximum area of the…

A: A rectangle is a polygon with four sides such that any two adjacent sides are perpendicular to each…

Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of…

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of…

Q: (5 -x) A rectangle is bounded by the x- and y-axes and the graph of y = (see figure). What length…

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Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

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Q: Constructing a Stadium A track-and-field playing area is in the shape of a rectangle with…

A: A rectangle is a quadrilateral with four right angles with 2 pairs of opposite equal sides. Area of…

Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: To find the maximum of Volume we use dV/dx=0

Q: 725&tags3autosave#Q5 A Apps O YouTube N Netflix M MasterClass Outlook Stream TV and M.. T REL 101-17…

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Q: question 8 please

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

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Q: A rectangular field as shown is to be bounded by a fence. Find the dimensions of the field with…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

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Q: Maximizing area. A lifeguard needs to rope off a rectangular swimming area in front of Long Lake…

A: A lifeguard is roping off a rectangular swimming area using the beach as one side using 180 yd of…

Q: A courtyard at the corner of two buildings is to be enclosed using z=82ft of redwood fencing. Find…

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Q: A rectangular field as shown is to be bounded by a fence. If fencing is not needed along the river…

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Q: 63. Maximum Area A rancher has 400 feet of fencing with which to enclose two adjacent rectangular…

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Q: 53. Suppose that a family wants to fence in an area of their yard for vegetable garden to keep out…

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Q: 4. Identical bricks are used in the construction of a wall as seen in the figure. While the ones…

A: This question is about application drawing hypothesis

Q: 4. (§4.6, Q16) What is the maximum area of a rectangle inscribed in a right triangle with legs of…

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Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: Given: A  rectangular package to be sent by a postal service can have a maximum combined length and…

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

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Q: A1000-metre track is to be built with two straight lines and semicircles at the ends as shown below.…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

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Q: 84. An open box with a square base is to have a volume of 108 cubic inches. Find the dimensions of…

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: A box with a lid is to be made from a rectangular piece of cardboard measuring 48 cm by 144 cm. Two…

A: The figure is given by To evaluate: The value of x such that the volume of the box is maximum.

Q: A rectangular plot of farm three sides by a single-strand electric fence. With the largest area you…

A: Let the length of the rectangular plot = x and breadth of the rectangular plot = b It is given that…

Q: Rectangles beneath a linea. A rectangle is constructed with one side on the positive x-axis,one side…

A: a) The area of the rectangle is A = xy, we are given that y = 10-2x. Therefore,  As  we see that…

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: The combined length and girth can be expressed as,

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: Let the dimensions of the box be x,x and y. Because, given the cross section is square. Therefore,…

Q: Minimum perimeter rectangles Of all rectangles of area 100,which one has the minimum perimeter?

A: Given area of rectangle is 100 sq. unit To find the least perimeter

Q: ind the dimensions of a rectangle with perimete

A: Given that: The perimeter of the rectangle = 100m.

Q: Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary…

A: please comment if you need any clarification. if you find my answer useful please put thumbs…

Q: A rectangle that maximizes the encloseda has a length of yards and a width of yards. The maximum…

A: Let the dimension of the rectangle be x and y. Available is 1600 yards of fencing, that is the…

Q: 3. Triangle ABC is a right-angled triangle at Cand its area is 50m A rectangle is placed in this…

A: Given Triangle ABC is a right angle triangle at C and area of triangle=50m2and a rectangle is placed…

Q: Sienna has 400 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle…

A: Let the length of the rectangle be ‘x’.Let the width of the rectangle be ‘y’.

Q: dimensions of the field with maximum area that can be enclosed with 1000 feet of fencing. You can…

A: Solution..

Q: A 6 inch by 6 inch piece of cardboard has square cut out of its corners so that it can be folded up…

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