Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r = 2.

Q: Find the between the porabolas area 2. X+2 メ+ 2.

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Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

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

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Q: What is the area of the triangle formed if it bounded by the x and y axes and the line,  2x - 3y =9?

A: Here we have to find the area of the traingle since Area of  Triangle = 1/2 *(hight)*base

Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in…

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Q: suppose that a can has a radius of 0.8 inches and a height of 3.2 inches how much soup would be able…

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

A: Consider a rectangle, inscribed in a circle of radius r.Then,

Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' a '

Q: A semi – circle of radius 14 cm is bent to form a rectangle whose length is 1 cm more than its…

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

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Q: An open-top rectangular box is being constructed to hold a volume of 350 in. The base of the box is…

A: First derivative of a function when equated to 0 gives us the critical points of the function where…

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

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Q: What is the largest possible area such a region can have if its perimeter is to be 20 units?

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Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

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Q: A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder…

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

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: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: Given that the perimeter is fixed.Let us assume that the length of the rectangle part which is also…

Q: Find the radius of a circle whose area equals the sum of the areas of two circles with radii 3 in.…

A: First we find the area of the circle with radius = 3 in Then we find the area of the circle with…

Q: In constructing an open rectangular box from 300 ft² of material, what dimensions will result in a…

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Q: An isosceles triange is to be drawn with its two equal sides of length 10. What is the maximum…

A: Let the third side is of the length x. From the property of the triangle, if AB = AC then BM = MC =…

Q: What is the area of the largest rectangle that cab be inscribed in a semi-circle of radius 10?

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Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

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: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

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Q: A flexible tube of length 4 m is bent into an L-shape. Where shouldthe bend be made to minimize the…

A: A flexible tube of length 4m is bent into an L-shape. Let x,y be the length of sides of L-shape.…

Q: what is the minimum possoble perimeter for a rectangle whose area is 100 in^2

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Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

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Q: In constructing an open rectangular box from 48 ftf of material, what dimensions will result in a…

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Q: Find the minimum cost of a rectangular box of volume 180 cm³ whose top and bottom cost 4 cents per…

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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: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: Find the area of the largest rectangle that can be inscribed in asemicircle of radius r

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Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

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Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: A poster must have 32 sq. in with margins of 4" each at t side. Find the dimensions o"

A: Given: A poster must have 32 sq. in. of printed matter.

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 company that manufactures dog food wishes to pack the food in closed cylindrical tins.  What…

A: Given volume of the can is (128)πcm3 Let height=h radius=x

Q: Find the dimensions of the largest box with a square base that can be cut from a solid sphere of…

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Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm…

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Q: Consider a rectangle of sides x and y with fixed perimeter of 40 units. Find the maximum and minimum…

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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: A box with a square base and with height f(x) is to be constructed so that it has a volume of 1000…

A: A box with a square base.  Let the side of the base be x cm. x>0 If the height of the box is…

Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

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Q: What are the dimensions of a closed recrangular box that has a square cross section a capacity of…

A: Given that the dimensions of a closed rectangular box that has a square cross sections a capacity of…

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins. What should…

A: Use application of derivative concept. volume of cylinder and total surface area of cylinder…

Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

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

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Q: 4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.

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