From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides

Question:

From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box.

(a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square.
(b) Find the domain of the function.
(c) Graph the function with a graphing calculator.
(d) What dimensions yield the maximum volume?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Algebra Graphs and Models

ISBN: 978-0321845405

5th edition

Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

See More Books

Question Posted: Apr 12, 2016 09:22 AM

See More Questions

(a) A square piece of cardboard 36 centimeters on a side is to be formed into a rectangular box by cutting squares with length x from each corner and folding up the sides. What is the maximum volume...
A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 2-in. squares from each corner and folding up the sides. Let x represent the width (in...
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find...
The Archaic period also gave rise to some economic, social and political cooperation, best represented by the emergence of Kingdoms Republics Tyrannies Poleis
Delores Place is a not-for-profit that has a mission of helping parents prevent their children from abusing drugs. The NFP sends materials that discuss the dangers of drug abuse to parents of high...
You have been engaged to do the accounting for the termination and liquidation of the Devi, Smith, and Tavares partnership. Devi has requested an immediate distribution of cash from the partnership...
Why do we avoid the term positive predictive value in this book?
The machine element shown is fabricated from steel. Determine the mass moment of inertia of the assembly with respect to (a) The x axis, (b) The y axis, (c) The z axis. (The specific weight of steel...
What is the value today of $10,757 to be recieved 51 years from now, assuming a 3% interest rate
Do you see any limitations to the viability and growth of Harley in the future? Discuss how these might be countered.
Designs Unlimited plans to produce a one-component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape. (a) Express the volume of the file...
A rectangle that is x feet wide is inscribed in a circle of radius 8 ft. (a) Express the area of the rectangle as a function of x. (b) Find the domain of the function. (c) Graph the function with a...
Cold water (c p = 4180 J/kg·K) leading to a shower enters a thin-walled double-pipe counter-flow heat exchanger at 15°C at a rate of 0.25 kg/s and is heated to 45°C by hot water (c p =...
How do you encourage cross-functional synergy within your organization to break down silos and facilitate innovative solutions to complex challenges ?
1. what is intended internal resource strategies. How do you plan to develop or acquire resources (tangible and/or intangible) that would generate core competencies? What are examples of resource...
1. What is a forward contract? 2. Why do you need fx swap ? 3. If the rate is usd to cad, then you multiple by the rate. If converting USD to CAD. If the rate is CAD to USD, then you have to divide...
1. Watch the video on Taylorism. Why do you think Frederick Taylor's ideas were important at that particular point in history, the early 1900s? Explain. 2. How were the Hawthorne studies a major...
what extent do elite networks shape policy and governance, and how transparent are these networks to public scrutiny ? Explain
Obesity in America is increasing at an alarming rate. Check the map from the Centers for Disease Control and Prevention (CDC) at http://www.cdc.gov/obesity/data/adult.html, which shows obesity trends...
Which of the following streaming TV devices does not involve use of a remote controller? A) Google Chromecast B) Apple TV C) Amazon Fire TV D) Roku
Mike and Julie receive $20,000 in gifts from friends and relatives for their wedding. They deposit the money into an account that pays 4.75% interest, compounded daily. a. Will their money double in...
Lindsay invests $80 in an account that pays 5% annual interest, compounded monthly. Michele invests $60 in an account that pays 8% annual interest, compounded weekly. a. Whose balance is greater...
Investigate the difference between compounding annually and simple interest for parts a-j. a. Find the simple interest for a one-year CD for $5,000 at a 6% interest rate. b. Find the interest for a...
Revenue Recognition and Sales Allowances accounting purposes ) . The goods are shipped from the warehouse on March 6 , and FedEx confirms delivery on March 7 . Ignore shipping costs, sales tax, and...
Ellis Perry is an electronics components manufacturer. Information about the company's two products follows: \ table [ [ , , , ] , [ Units produced,AM - 2 , FM - 9 , ] , [ Direct labor hours required...
Which of the following requirements to claim Earned Income Tax Credit is TRUE? The credit can be claimed under any filing status. The taxpayer must have a valid SSN for employment in the U.S., issued...

From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides

Question:

Step by Step Answer:

a When a square with sides of length x is cut from each corner the length of each ...View the full answer

College Algebra Graphs and Models

Students also viewed these Linear Algebra questions