Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 102 in., and is constructed using the least amount of material? (Round your answers to two decimal places.) in y = in

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A: Here we find the dimensions.

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A: given volume of 300m3   put first derivative to zero to minimizing cost

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A: I use second derivative test to find out dimensions where area is minimum

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Q: A company manufactures cylindrical tin cans with closed tops with a volume of 400 cubic centimeters.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 39. Measurement Error A sphere has a radius of 5.81 in., with a possible error of ±0.003 in.…

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Q: Volume and lateral surface prism. A.B.C.F is Square

A: Volume  = area of cross section × length Lateral surface area = perimeter of cross section × length…

Q: Your turn 4

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2…

A: Given. A prismatic tank Base = 4m * 15m Height = 4m Work = mgh

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A: Use washer method

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A: We need to find the work done.

Q: We want to construct a cylindrical container. We have 200 cm2 of metal. What dimensions would…

A: Given:-200cm2 of metal to construct a cylindrical containerto find the dimension that maximize the…

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Q: A rectangular storage container without a lid is to have a volume of 10 m³. The length of its base…

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Q: (c) On average, which type of brick is stronger? State a reason to support your answer. 3. The…

A: Given,

Q: D IXL- Surface area of prisms and X IXL - Surface area of pyramils ar X A Exam: 04.07 Eva i…

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Q: Question You have been asked to design a rectangular box with a square base and an open top. The…

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Q: rate is the volume of the snowball decreasing when the radius is 11 cm. (Note the answer is a…

A: Given:- drdt=0.3 cm/min   decreasing volume of spherical snowball (v)=43πr3 v=43πr3 Rate at which…

Q: Question: Sweet candies are sold in packets in the form of open cylinder with height h cm and radius…

A: Given container which is in the form of the open cylinder with the height h cm and base radius r cm.…

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A: Given that a microwaveable cup of soup package need to be constructed in the shape of cylinder.…

Q: Solve the following problems with and without calculus. A good picture helps . a. A cube with side…

A: Concept; The calculus helps in understanding the changes between values that are related by a…

Q: A tank, shaped like a cone has height 4 meter and base radius 3 meter. It is placed so that the…

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Q: A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base…

A: Given, Volume = v = 10 m3  Let's assume the length of base = l  = 2w     (because length is twice…

Q: Revolve about the x-axis the area of the region bounded by y = Vx, x 1. х %3 4, and the x ахis to…

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Q: An aluminum can is to be constructed to contain 2300 cm of liquid. Let r and h be the radius of the…

A: Given volume of can is 2300cm3 need to find the height and the radius.

Q: 24. The depth of the cross-section of a river flowing at 2 m/s from riverbank to bank measures…

A: Given velocity of the river = 2 m/s   distance across, x 0 1 2 depth, y 0.5 1.2 0.4

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A: We have to find how fast the radius of the balloon growing for the given Radius.

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A: Given: The fixed amount of sheet from which the cylindrical metal can is being manufactured. To find…

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A: Solution is here

Q: MTH1W-7.4 Surface Area and Volume of Cones and Cylinders 1. A cylinder of diameter 3 cm is cut from…

A: "According to the guidelines issued by the company we are supposed to answer only one question.…

Q: are constructing a box for your cat to sleep in. The plush material for the square bottom of the box…

A: Let length of the side of the box=x   and height of the box=h   The volume v=x2h       given…

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A: Use cylinder formulas to derive

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A: Consider the given:VolumeV=500042=250021ft3

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A: Rate dVdt=160 ft3/m Height h=0.4 feet Radius r=5 feet To find: drdt

Q: Marketing Golf Balls. A golf ball manufacturer has determined that a newly developed process results…

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Q: 3a3.    I have been trying to solve but I'm not sure what to do.   The circumference of a sphere…

A: We know  surface Area of sphere =4πr2  circumference of sphere=2πr  here r = radius of sphere

Q: Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square…

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Q: Emptying a tank A vertical right-circular cylindrical tank mea sures 30 ft high and 20 ft in…

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Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is…

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Q: cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height which…

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Q: Density is the ratio of mass to volume, often measured in grams per cubic centimeter. One gram was…

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Q: REVISION EXERCISE One of the ends of a cylindrical pencil is to be sharpened to produce a perfect…

A: topic - volume of cone and volume of cylinder

Q: A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can…

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Q: ) A spherical snowball is melting in its radios is decreasing at what rate is the volume of the…

A: Given: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4…

Q: R A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1…

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Q: We want to construct a cylindrical container. We have 250 cm2 of metal. What dimensions would…

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Q: We want to construct a cylindrical container. We have 350 cm2 of metal. What dimensions would…

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Q: Q 2(b) A manufacturing process produces a component with the shape shown in Figure 2. (i) Show…

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