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Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A: Consider the given information. From the given information Length  l=8−2x And w=10−2x Therefore, the…

Q: Please explain...How to solve the new region of this function 2x ! fcx, gɔ dydx 1. 2 4 2. SS…

A: In this question , firstly draw the given limits of the iterated integrals and then change dxdy =…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Assume that the side length of the river side is x So AB=x Being a rectangle CD=x Now total fence…

Q: Find two numbers whose difference is 100 and whose product is a minimum. (Show work).

A:

Q: 5. A rectangular poster is to contain 648 square inches of print. The margins at the top and the…

A: Given that a rectangular poster is to contain 648 square inches of print. There is a margin of 2…

Q: Maximum-volume box Suppose an airline policy states that allbaggage must be box-shaped with a sum of…

A: Modeling of the problem: As the base is square base , let the three dimensions be x, x and y. Since…

Q: Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4,  x = 0,  x = 2,  y…

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Q: Express the integrand as a sum of partial fractions. y %3D y2 - 4y-5 (Simplify your answer. Use…

A: I have used linear form of partial fraction

Q: A rectangular page is to contain 30 square inches of print. The margins on each side are 1 inch.…

A: The area of the rectangular page is,

Q: 3. A rectangular page is to contain 36 square inches of print. The margins on each side are to be 1…

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Q: 8x2 — 5х + 1 2) lim *о 4x2 — 2х +4 —Зх + 2 3) lim *о 4x2 + х + 4 4x2 — Зх + 2 4) lim х+4

A:

Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: A poster of area 6000 cm2 has blank margins of 10cm wide on top and bottom and 6cm wide on the…

Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

A:

Q: Find two positive numbers with product 529 and whose sum is a minimum.

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Q: A rectangular page is to contain 48 square inches of print. The margins on each side are 1 inch.…

A: Here I am attaching image so that you understand each and every step.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9x2 - + 5x + 10 dp-…

A:

Q: Two positive numbers whose product is 25, find the minimum sum О 15 30 О 10 20

A: Let the two numbers be x and y. According to given, xy= 25 Therefore, y= 25/x-----equation 1 And…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Here we use rhe application of derivative.

Q: A poster of area 960 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A:

Q: A rectangular page is to contain 36 square inches of print. The margins on each side are to be 1.5…

A:

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: An open cardboard box is to be made with a volume of 4m'. Find the dimension of the box that…

A: Volume has given, we use surface area of cardboard to solve following question

Q: Find the dimensions of the right-circular cylinder of greatest volume that can be inscribed in a…

A: Let PQED be the cylinder inscribed in the cone ABC.Radius of cylinder = O'Q = OE = rRadius of cone =…

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: To maximize the volume of a rectangular box such that the sum of its length, width, and height does…

Q: A rectangular lot is to be fenced using 120m of fencing materials. The fence should separate two…

A:

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a…

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded…

Q: Your task is to design a rectangular industrial warenouse consisting of three separate spaces of…

A: Given query is to find the value of x and y to maximize the area.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A:

Q: A rectangular poster is to contain 338 square inches of print. The margins at the top and bottom of…

A:

Q: An open box is to be made from a square piece of cardboard, 48 inches by 48 inches, by removir a…

A:

Q: The shaded region between the graphs of y = 2x2 + 20 and y = 3x – 15 is displayed below in 25 -6 -…

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Q: = -x² + 3x |(2, 2) y y -2 +1 1 y = 2x – x² – 5x (-2, –10) - –10 |

A:

Q: A rectangular page is to contain 36 square inches of print. The top, bottom, and both side…

A: Area of prited part = 36 sq. inches. Both side marginesare = 1.5 inches.

Q: a rectangle can be drawn in the first quadrant bounded by the curve y= 8- x^3 , the x- axis and the…

A: Let the Length of the rectangle be x and width by y. Hence, Area of the rectangle(A) = xy For the…

Q: Fihd the minimum sum of two positive numbers (not necessarily integers) whose product is 500.

A: Given that: Product of two positive numbers is 500

Q: 2. The sum of perimeters of an equilateral triangle and a square is 10. Find the dimensions of the…

A: Recall: In equilateral triangle, all three angles are always 60°.

Q: A sheet of paper 62 cm-by-62 cm is made into an open box (i.e. there's no top), by cutting x-cm…

A: Given that, A sheet of paper 62 cm-by-62 cm is made into an open box by cutting x-cm squares out of…

Q: An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of…

A: Cardboard with x2area cutouts is  Volume of the box , V = l w h cu.units Where length = 14 -2 x…

Q: 5. An open box of maximum volume is to be made from a square piece of material, 24 inches on a side,…

A: 5 Sol:length of box = 24-2x=lwidth of box = 24-2x=wheight of box =x=hthe volume, V = (24-2x) x…

Q: What should the dimensions of the poster be so that the least amount of poster is used?

A: Assume that, x = length of the printed space y = height of the printed space Then, Length of the…

Q: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch.…

A:

Q: 11 An open rectangular box is to be formed by cutting squares of side length x cm from the corners…

A: Given that an open rectangle box is to cutting squares of side length x cm from the corners of a…

Q: Find the maximum and minimum of f(x, y) = x² + y² - 8x – 18y if x > 0, 0 x. (Use symbolic notation…

A: The solution is given below:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given that a rectangular bird sanctuary is created with one side along a straight river bank. Then…

Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² +4x + 7 xp- 3-1…

A: Please see the explanation below

Q: How finite difference and collocation methods are useful to solve BVPs. Also discuss stability of…

A:

Q: An open cardboard box is to be made with a volume of 4m. Find the dimension of the box that requires…

A:

Q: A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom of…

A: Given: The area of the poster is 648 square inches. The following diagram shows all the…

Q: A poster of area 6000 cm^2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on…

A: The poster can be pictorially shown as: Differentiation formulas used:1 ddxfx+gx=ddxfx+ddxgx2…