From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides
Question:
(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:
Answer rating: 66% (15 reviews)
a When a square with sides of length x is cut from each corner the length of each ...View the full answer
Answered By
OTIENO OBADO
I have a vast experience in teaching, mentoring and tutoring. I handle student concerns diligently and my academic background is undeniably aesthetic
4.30+
3+ Reviews
10+ Question Solved
Related Book For
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Question Posted:
Students also viewed these Linear Algebra 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...
-
Mack Backpack Company manufactures a variety of backpack models. Each backpack requires a variety of direct materials, including fabric, buckles, zippers, and other materials. Company managers have...
-
Let \(f(\theta)\) be the \(2 \pi\)-periodic function determined by the formula \[f(\theta)=|\sin \theta|, \quad \text { for }-\pi \leq \theta \leq \pi\] Show that the Fourier series for \(f\) is...
-
Garden Grove Corporation made a sale to a foreign customer on September 15, Year 1, for 100,000 foreign currency units (FCU). Payment was received on October 15, Year 1. The following exchange rates...
-
Use MATLAB to generate histograms that shows the percentage of packet trains that are of a certain length. Inputs to your program: A "packet train" of length i is a sequence of i consecutive packets...
-
Strong Metals Inc. purchased a new stamping machine at the beginning of the year. Strong estimated the useful life to be five years and estimated the productive life to be 300,000 units. To do your...
-
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...
-
The table below contains selected financial information included in the 2017 financial statements of Kohl?s Corporation and Dillards, Inc., two companies in the department store industry. Required:...
-
Should the company pursue the project at a 7.5% rate of return? Please choose the statement that best describes the facts. Yes No So long as the required rate of return is below the project's...
-
If Firm X is abating 9 units with an MACX = 0.6AX, and Firm Y is abating 11 units with an MACY = 0.9AY, then Firm Y should do less of the abating and Firm X should do more in order to lower the...
-
Scenario 13:Accountant 13 is a new staff accountant. She says I just passed the CPA exam. The clientwants to give me and my family the companies' luxury box to celebrate the all star baseballgame and...
-
Which company has the higher receivables turnover ratio? Company A Company B Average Net Accounts Receivable $2,000 $5,000 Average Inventory $4,000 $20,000 Net Sales $40,000 $100,000 Multiple choice...
-
Iron ore has the following screen analysis after crushing to minus 50.8 mm. Passing Retained Wt.% 50.8 mm 38.1 mm 41.5 38.1 mm 25.4 mm 25.2 25.4 mm 19.0 mm 15.1 19.0 mm 12.7 mm 13.1 12.7 mm 9.5 mm...
-
Does the rate of serious mental illness among substance abusers vary according to the type of substance abused? To find out, a psychiatrist collected data on the mental health of a random sample of...
-
Data on weekday exercise time for 20 females, consistent with summary quantities given in the paper An Ecological Momentary Assessment of the Physical Activity and Sedentary Behaviour Patterns of...
-
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...
-
How should an organization deal with third-party network access?
-
a) In a circuit under test a resistor, R, is connected in series with a capacitor, C. An a.c. current, i, flows through this RC combination, causing a voltage (VR) of 6V to be developed across the...
-
Assignment Instructions: Complete your Capstone Project paper by submitting a project based on previous research and coursework that you have completed in Cybersecurity or on a Cybersecurity topic...
Study smarter with the SolutionInn App