Express the volume v of the box as a function of x

Assignment Help Mathematics
Reference no: EM13202397

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

Reference no: EM13202397

Questions Cloud

How many feet does the car travel before coming : a car traveling at 40ft per second decelerates at a constant 8ft per second squared. How many feet does the car travel before coming to a complete stop?
Estimate the maximum error in the calculated surface area : The circumference of a sphere was measured to be 83000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Find the largest possible volume of the box : If 10,800 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Draw the diagram for each and discuss the part of solution : Draw the diagram for each and discuss the part of the solution that would be different to finding the requested probabilities.
Express the volume v of the box as a function of x : A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the bo..
At what rate is the base of the triangle changing : At what rate is the base of the triangle changing when the altitude is 12000 centimeters and the area is 100000 square centimeters?
Find the work w required to pump the oil out : A spherical tank of radius 3m is half full of oil that has a density of 900kg/m3. Find the work W required to pump the oil out of a spout which extends 1.5m past the top of the sphere. (Use 9.8 for g and 3.14 for . Round your answer to three signi..
Analyze the firms past and possibly future profitability : The statement of cash flows allows the financial manager and other interested parties to analyze the firm's past and possibly future profitability
What rent should the manager charge to maximize revenue : Similarly, one additional unit will be occupied for each 10 dollar decrease in rent. What rent should the manager charge to maximize revenue?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the work done pulling the bucket

The bucket is filled with 43 pounds of water and is pulled up at a rate of 2.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well. Your ans..

  Necessary and sufficient conditions for inequalities

When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?

  What is the most conservative estimate of the sample size

Assuming that the results of a preliminary survey are not available. What is the most conservative estimate of the sample size that would limit the margin of error to within 0.05 of the population proportion for a 95% confidence interval?

  Apply normal distribution method to approximate binomial

Apply normal distribution methods to approximate this binomial distribution.

  What are the monthly payments

Suppose that you want to purchase a home for $450,000 with a 30 year mortgage at 6% interest. Suppose that you can put 40% down. Assume that the monthly cost to finance $1,000 is $6.00. What are the monthly payments.

  Set up a definite integral

The curve for x=sqrt(In(y)) for 1

  How many bacteria n will there be after three hours

A bacteria population starts with 400 bacteria and grows at a rate of r(t) bacteria per hour. How many bacteria n will there be after three hours? (Give your answer to the nearest bacterium.) r(t) = 450.266 e^(1.12567 t)

  Which is an important function in physics and engineering

where cosh(x)=(ex+e-x)2 is the hyperbolic cosine, which is an important function in physics and engineering.

  Find the height of the object after 3 seconds

find the height of the object after 3 seconds after it is thrown upward. and find the maximum height of the object and the time it takes the object to reach this height.

  ?nd the sample size required to provide an estimate of mean

A new bone study is being planned that will measure the biomarker TRAP described in Exercise 6.17. Using the value of σ given there, 6.5 U/l, ?nd the sample size required to provide an estimate of the mean TRAP with a margin of error of 1.5 U/l fo..

  Briefly compare the strengths and weaknesses

In your own words, briefly compare the strengths and weaknesses (pros and cons) of the graphical, substitution, and elimination methods as applied to the solution of two equations with the same two variables in each.

  Minimum sample size analysis

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.25 hour is desired. Past studies suggest that a population standard deviation of 1.7 hours is reasonable.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd