Solve the following maxima and minima problems: A window has the shape of a rectangle sormounted by an equilateral triangle. If the perimeter of the window is 12 ft, find the dimensions of the rectangle which will produce the largest area for the window.

Q: At a certain time of day, a 6ft tall man casts a 4ft shadow. How tall is a tree whose height is 10ft…

A: Height of the man = 6ft Height of man's shadow = 4ft  Let the height of tree's shadow be x ft, then…

Q: Find the dimensions of the rectangle meeting the specified conditions. The perimeter is 390…

A: We have to find the dimensions of the rectangle   The perimeter is 390cm  Width is 25cm less than…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

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Q: The relationship between training costs (x) and productivity () is given by the following formula, y…

A: Given- The relationship between training costs (x) and productivity (y) is given by the following…

Q: The diagonal of the floor of a rectangle office cubicle is 2ft longet than the length of the cubicle…

A: First we have to draw the rectangle with diagonal as per question Represent the length, width and…

Q: / Find the best salution for Solving linear problems in a poragramming Knock Biglm

A: In operations research, the Big M technique is a simplex algorithm-based strategy for dealing with…

Q: A natural gas company is laying an underground natural gas pipeline in a new subdivision on both…

A: Solution: Let cost for laying underground = P      cost for laying underwater = 2P

Q: Solve the following maxima and minima problems: A circular cylindrical container, open at the top…

A: A circular cylindrical container, open at the top and having a capacity of 24π cubic inches. Let the…

Q: An open box with a square base is to have a volume of 1500 cm³. What should the dimensions of the…

A: The volume of a box with a square base x by x cm and height h cm is V = x2h  The amount of material…

Q: The length of the longer leg of a right triangle is 14ft longer than the length of the shorter leg…

A: Given:The length of the longer leg of a right triangle is 14ft longer than the length of the shorter…

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

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Q: Solve the following maxima and minima problems: Find two positive real numbers whose sum is 40 and…

A: We have to find two positive real numbers whose sum is 40 and whose product is maximum. Let x, y be…

Q: A Norman window has the shape of a rectangle surmounted by a semi-circle (therefore the diameter of…

A: A normal window has the shape of a rectangle surmounted by a semi-circle. The perimeter of the…

Q: Solve the problem. 19) Mari drops a ball from a height of 18 meters and notices that on each bounce…

A: Given: Mari drops a ball from height of 18 meters and notices that each bounce the ball returns…

Q: Solve the following maxima and minima problems: A man in a rowboat 2 miles from the nearest point…

A: Let the person at point A wishes to reach the point P, 6 mile down the shore from the nearest point…

Q: Solve the following maxima and minima problems: A steel storage tank for propane gas is to be…

A: Given, A steel storage tank for propane tank gas is to be constructed in the shape of a right…

Q: A hunter is standing on a riverbank and wants to reach his cabin, which is 8 miles west along the…

A: Let hunter runs x miles along the riverbank Speed = 5mph Time = x5 h Diagonal distance = 32+8-x2…

Q: The sum of the bases and altitude of a trapezoid is 36 inches and the base is 6 inches longer than…

A: We need to find dimensions of trapezoid.

Q: A trapezoidal gutter is to be made from a sheet of tin 22 cm wide by ending up the edges. If the…

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Q: The sugarcane plantation below has an area of (x 2 + 5x + 6) hm^2 . What are its possible…

A: Given:- The sugarcane plantation below has an area of (x 2 + 5x + 6) hm^2 . To find:- Possible…

Q: olve the following maxima and minima problems: A silo consists of a right circular cylinder…

A: The diagram is as shown below:

Q: An open-toped rectangular dumpster that is twice as long as it is wide and can hold 12y cubic yards…

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Q: The length of the longer leg of a right triangle is 9ft longer than the length of the shorter leg x.…

A: Given that the length of the shorter leg is x.Also it is given that the hypotenuse is 9 ft shorter…

Q: The volume of a rectangular box with length x, width y and height h is given by V=hxy. If the…

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Q: An open-toped rectangular dumpster that is twice as

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Q: need

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Q: Solve the following problems 1. An open box is to be made from a square piece of aluminum, 3 cm. on…

A: To find: The maximum volume of the box. Given: The side of square piece is 3 cm. Formula used: The…

Q: Solve the following problems. Show your complete solution. 1. If a car covers 15x² + 7x – 2) km in…

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Q: You are moving into a new apartment and notice there is a corner where the hallway narrows from 8ft…

A: To find- Length of longest item.

Q: A box, open at the top, is to be made from a square piece of cardboard by cutting a square out of…

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Q: Helen has 28 m of fencing which she can use to surround a pen for her pigs. What is the maximum area…

A: we know that square have maximum area in four side polygon so, given pen will be a square we know…

Q: The cost fimction of a manfacturer is C(x) 20x + 30, then the approximate cost of producing the 51"…

A: Given ,  The cost function of manufacturer is C(x) = 20x + 30  Then , the approximate cost of…

Q: Abigail wants to build a double corral for her two horses, where each part has equal areas. She has…

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Q: A rectangle has dimensions x+1 and 9x-1, where x is in centimetres. If the area of the rectangle is…

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Q: Solve the following problems. a. A door is being built and the bottom is a rectangle and the top is…

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Q: A box has width which is 3 cm more than double the length, and has height which is 2 cm more than…

A: Let the length(L) of the box be x As width is 3cm more than double the length Hence width (W) = 2x+3…

Q: Find two numbers whose sum is 32, if the product of one by the cube of the other is to be maximum.

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

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Q: Answer the following geometric problems.   1.A rectangular flower garden with dimensions 3m by 7m…

A: 1. A rectangular flower garden with dimensions 3m by 7m is surrounded by the walk of uniform width.…

Q: 8. Suppose U = xfx and our budget is given as pix1+p2X2 = m, where m is our income. Solve for solve…

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A:

Q: Solve the problem. 7) In the following formula, y is the minimum number of hours of studying…

A: Given that the score= x= 89 We will have to find the number of hours of study=y=?

Q: Given a cost function C(x)=10x−x2,x≥0. what condition must be true for Cave>40?   Select…

A: To solve the given inequality for the  variable x

Q: Solve the problem. 5) Find the dimensions that produce the maximum floor area for a one-story house…

A: since all questions are separate. According to bartleby guidelines  i need to solve the first one…

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

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Q: The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each…

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Q: A Norman window has the shape of a rectangle surmountedby a semicircle. (Thus the diameter of the…

A: A Norman window has the shape of a rectangle surmountedby a semicircle. Let length of rectangle =2y…

Q: The front face of a tent is triangular and the height of the triangle is two-thirds of the base. The…

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Q: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore, wishes to reach to a…

A: Given: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore,wishes to reach…