ind the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be ins Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width =

Q: A rectangle is bounded by the x-axis, the y-axis, and the line 4- X y = 1.5 y as shown in the…

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Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Airlines have a common restriction on the fotal of of lugguse, if a width W rectançulon piece of and…

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Q: 4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show…

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Q: 9. What is the area of the largest rectangle that can be drawn with one side along the x-axis and…

A: Finding the area of the largest rectangle that fits the given conditions.

Q: (1) Find a point P in the first quadrant on the curve f(x) = 3 such that the rectangle with sides on…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: 1 Given Perimeter of a rectangle is 110ft Find length and width which will give Maximum Area

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Q: The area bounded by the curve y = 4x and the lines a = 4 and a = 6 above the a - axis is_ O 208.00…

A: Here we use washer's method to find the area between given curves. The answer is given as follows:

Q: A closed rectangular container with a square base is to have a volume of 1152 in3. The material for…

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: A rectangle is bounded by the x-axis and a parabola defined by y = 4 – x. What are the dimensions of…

A: Given that, a rectangle is bounded by the x-axis and a parabola defined by y = 4 - x2. The area of…

Q: Consider the following rectangular piece of tinplate. An open-top cake tin is to be made by cutting…

A: Here, I am going to solve only 1st part for the remaining parts please post the question again and…

Q: Find the area bounded by the graphs of the indicated equations over the given interval. y = - 4x +…

A: Area bounded by the curves  y = -4x + 12 and y = 20 where x is in between -1 to 2

Q: 1) The volume of an open box with a square base is 4,000 cu.cm. Find the dimensions of the box if…

A: First the base is given as square so assume that the sides of the square base is x then the width…

Q: 3. Find the area of the region bounded by the parabola y? = 2x – x and the line y = x – 5 by taking…

A: We have equation of parabola  y2=2x-xy2=x                                                     ……(1)…

Q: 1)A cylindrical bar of soap has a diameter of 2.5 in. and a height of 1.5 in. A cylindrical…

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Q: The convex surface area of a cylinder is at maximum. Determine its dimension in order to be…

A: The convex surface area of a cylinder is at maximum. We have to determine its dimension in order to…

Q: 1.26. Show that the absolute value of A BXC is the volume of the parallelepiped with edges A, B, and…

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Q: 9. What is the area of the largest rectangle that can be drawn with one side along the x-axis and…

A: Consider the provided information, Now, draw the figure of the provided information.

Q: The area bounded by the line y=x, the x − axis, the ordinates x =1, x =2 is ___ O 3/2 sq units O 5/2…

A: area

Q: Find area bounded by the circle x? + y² = 25, the y-axis and the parabola y = 6x – x².

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - r, and the line perpendicular…

A: Triangle bounded by the y-axis, the line f(x)=5-(x/7) , and the line perpendicular to f(x) which…

Q: Find the area of a triangle bounded by the y axis, the line f(z) 1 z, and the line perpendicular to…

A: Area of triangle = (1/2)*base*height

Q: A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If…

A: Let x be the length and width, and y be the height of the rectangle box with square base.Therefore,…

Q: The area bounded by the curve y = 3x and the lines x = 4 and x = 6 above the x - axis is O 30.00…

A: Given that y=3x at x=4 and x=6  find out area bounded by the curve

Q: The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval…

A: In this question, we need to find the area of each rectangle and not the area of the complete…

Q: An open-top box is to be made by cutting congruent squares of side length x from the cor- ners of a…

A: The box is in the shape of cuboid whose sides are x , 20-2x and 25-2x

Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: An open rectangular box is to be constructed by cutting square corners out of a 29- by 29- inch…

A: An open rectangular box to be constructed by cutting square corners out of a 29 by 29 inch piece of…

Q: n constructing an open rectangular box from 108 ft? of material, what dimensions will result in a…

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Q: he widths (in meters) of a kidney-shaped swimming pool were measured at 4-meter intervals as…

A: Given,   a1 = 3.1, a2 = 3.6, a3= 3.4, a4 = 2.8, a5 = 2.5, a6= 2.4, and a7 = 2.4.  and…

Q: OA rectangular field is enclosed by on Four sides by a fence. Fencing costs foot för two opposite…

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Q: Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the…

A: Solve by using the concept of maximizing any term

Q: Consider the following rectangular piece of tinplate. An open-top cake tin is to be made by cutting…

A: This question is based on application of Derivatives.

Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-2, 2].…

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Q: The base of a three-dimensional figure is bound by the semi-circle y = √√4-x². Vertical cross…

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Q: Find the area enclosed by the line x=y and the parabola 4.x+y² =12

A: Given that, The line x=y and the Parabola 4x+y2=12   We have to find Area between the Curves   As we…

Q: Let R be a rectangle with sides measuring x > 0 and y > 0 and perimeter equal to 14. What is the…

A: x = length of rectangle R ; x>0y = width of rectangle R; y>0A = Area of RA = xy…

Q: Glenview Community College wants toconstruct a rectangular parking lot on land bordered on one…

A: What should be the dimensions of the lot if theenclosed area is to be a maximum?

Q: Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the…

A: The given question can be solved as shown in step 2.

Q: The area bounded by the curve Y 4x and the lines x 6 and a 14 above the x axis is O 640.00 square…

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Q: The base of S is the region enclosed by the parabola y = 6 − 6x2 and the x-axis. Cross-sections…

A: Given curve is Cross-sections of S perpendicular to x-axis are isosceles triangles with height…

Q: 6. The total exterior surface area of an empty cylinder, which is closed on one end, is 462 cm2. (a)…

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Q: 3. y = x2 + 5x and y = 3 – x -

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Q: Find the length L and width W (with W < L) of the rectangle with perimeter 72 that has maximum ar L…

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Q: Find the area limited by the line x + y = 10, the axis OX and the ordinates of x = 2 and x = 8.

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 3 – z, and the line perpendicular…

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Q: 8a. A rectangle is bounded by the x-axis and the semicircle y = \4 – x². What length and width…

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