The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

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

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Q: Suppose that 208 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given:  208 ft of fencing is used to enclose a coral From given figure diameter of the semicircle is…

Q: For a closed rectangular box, with a square base x by x cm and height h cm, find the dimensions…

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Q: a rectangle eith sides measuring x in. and 4x-1 in has an area of 663in^2. what are the dimensions…

A: We are given a rectangle with the sides being x in and 4x-1 in. Also the area of the rectangle is…

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

A: x= 5.07 in y= 5.07 in

Q: A production editor at Weston Publishers decided that the pages of a book should have a 1-in. margin…

A: Consider x as the length and y as the breadth of the rectangle.Then area is A = xy.Since x is length…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: To find - Value of R+H.

Q: Here is a cylinder placed in a hemisphere. Radius of the hemisphere is 1. What is the maximum…

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Q: The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut…

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Q: An open box is to be made from a 21 ft by 56 ft rectangular piece of sheet metal by cutting out…

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Q: find the maximum valume of a cone given that the sum of the radius and height of the cone is 15 cm.

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Q: Starting with a 60​-foot-long stone​ wall, a farmer would like to construct a rectangular enclosure…

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Q: A right circular closed cylinder with radius r cm and height h cm is placed on a square block with…

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

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Q: Prove that the area of a trapezoid whose altitude has length h and whose median has length m is A =…

A: Let's consider a trapezoid ABCD with bases AD=b1   and  BC=b2 and altitudes AE and DF measures h…

Q: The volume of the sphere is increasing at the rate of 6cm^3/hr. At what rate is its surface area…

A: Given that the volume of the sphere is increasing at the rate of 6  cm^3/hr. We have to find the…

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

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Q: Cylinder Q has a base radius of 10 cm and a height of 5 cm. Cylinder R has a radius that is half of…

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =…

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Q: Show by integration that the area of the tri- angle formed by the line y 2x, the ordinates x=0 and…

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Q: An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out…

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Q: Suppose that for the tank in Exercise 23 the pump breaks down after 4.7 X 10° J of work has been…

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Q: The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with…

A: Given the dimension of the closed rectangular box 21 cm, 17 cm and 11 cm

Q: A cuboidal box of dimension 1 m * 2m * 1.5m is to be painted except its bottom .Calculate how much…

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

Q: In calculus, it can be shown that the largest possible volume for the inscribed right circular…

A: Inscribe a cylinder in a sphere. We draw the cross section of the solid as follows   Let  be the…

Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: Show that (a) the total surface of the cube is twice the square of its diagonal, fo) the volume of…

A: Given- A cube with side s. To show- That Show that (a) the total surface of the cube is twice the…

Q: Starting with a 20 foot long wall a farmer would like to construct a rectangular enclosure by adding…

A: Given problem is : Starting with a 20 foot long wall a farmer would like to construct a rectangular…

Q: Two vertical poles, 8 ft and 16 ft high, stand 18 ft apart on a flat field. A worker wants to…

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Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: A company wishes to manufacture a box with a volume of 44 cubic feet that is open on top and is…

A: Let the length of box is l=2x. The company wishes the box open on top and is twice as long as it is…

Q: Let V be the volume of a pyramid of height 20 whose base is a square of side 8. Use similar…

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Q: A spherical balloon is being inflated. Given that the volume of a sphere in terms of its radius is

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Q: A square is to be cut from each corner of a piece of paper which is 8 cm by 10 cm, and the sides are…

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Q: The volume of a right circular cone whose base has a radius r and that has a height of h is given by…

A: Given that: Volume of cone, V=π3r2h, h=10cm and r=30 cm and errors in height and radius = ±0.1cm

Q: (EX) Max wishes to enclose a rectangular garden, using one side of his house as shown below. What is…

A: We use second derivative test to find out dimensions of rectangular garden have maximum area

Q: The volume of a right circular cone is 36 t. If its altitude is 3, find its radius.

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A: Follow the procedure given below.

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

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Q: 3. A divided field is to be constructed with 4000 feet of fence as shown. For what value of z will…

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Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

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

A: When we place right circular cone on top of a cylinder, the curved surface…

Q: Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with…

A: Write the equation of circles and solve.

Q: The sphere below on the left has a radius r = 3 cm. If the sphere is enlarged by a factor of 4, how…

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Q: If an open box has a square base and a volume of 103 in.3 and is constructed from a tin sheet, find…

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

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Q: An article will be written on a 24 cm2 part of a paper. There will be space 1.5 cm from the bottom…

A: Solution: Let y be the length and x be the width of the paper. Then, the area is 24 cm square, that…