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Applied Calculus
7th Edition
ISBN: 9781337291248
Author: Waner, Stefan.
Publisher: Cengage Learning,
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Textbook Question
Chapter 7.3, Problem 1E
In Exercises 1-8, find the average of the function over the given interval. Plot each function and its average on the same graph (as in figure 10.) [HINT: See Quick Example 2.]
Expert Solution & Answer
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Students have asked these similar questions
Each of the following statements is an attempt to show that a given series is convergent or
divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C
(for "correct") if the argument is valid, or enter | (for "incorrect") if any part of the argument is
flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.)
☐ 1. For all n > 1,
seriesΣ In(n)
In(n)
converges.
2, 1,
arctan(n)
the series arctan(n)
n³
☐ 4. For all n > 1,
123
converges.
1
n ln(n)
series In(n) diverges.
2n
.
and the seriesΣconverges, so by the Comparison Test,
2, 3, and the series converges, so by the Comparison Test, the
series-3
1
converges.
☐ 6. For all n > 2, In(n) >, and the series Σ converges, so by the Comparison Test, the
seriesΣ
In(n) converges.
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Chapter 7 Solutions
Applied Calculus
Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 24ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 26ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 34ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 36ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - In Exercises 140, evaluate the integral using...Ch. 7.1 - Prob. 41ECh. 7.1 - Find the area bounded by the curve y=xlnx, the...Ch. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Integrals of Functions Involving Absolute Values...Ch. 7.1 - Integrals of Functions Involving Absolute Values...Ch. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Displacement A rocket rising from the ground has a...Ch. 7.1 - Sales Weekly sales of graphing calculators can be...Ch. 7.1 - Total Cost The marginal cost of the x thbox of...Ch. 7.1 - Total Revenue The marginal revenue for selling the...Ch. 7.1 - Spending on Gasoline From the beginning of 2000 to...Ch. 7.1 - Spending on Gasoline From the beginning of 2007 to...Ch. 7.1 - Housing The following graph shows the annual...Ch. 7.1 - Housing for Sale The following graph shows the...Ch. 7.1 - Prob. 61ECh. 7.1 - Bottled Water Sales The rate of U.S. sales of...Ch. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Revenue You have been raising the price of your...Ch. 7.1 - Revenue Luckily, sales of your Star Wars and Peace...Ch. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - In Exercises 7380, indicate whether the given...Ch. 7.1 - Prob. 75ECh. 7.1 - In Exercises 7380, indicate whether the given...Ch. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Prob. 79ECh. 7.1 - Prob. 80ECh. 7.1 - Prob. 81ECh. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.2 - In Exercises 18, find the area of the shaded...Ch. 7.2 - Prob. 2ECh. 7.2 - In Exercises 18, find the area of the shaded...Ch. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - In Exercises 18, find the area of the shaded...Ch. 7.2 - In Exercises 18, find the area of the shaded...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 10ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 13ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 15ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 36ECh. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - In Exercises 942, find the area of the indicated...Ch. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Oil Production in Mexico: Pemex The rate of crude...Ch. 7.2 - MySpace and Facebook Exercises 47 and 48 are based...Ch. 7.2 - MySpace and Facebook Exercises 47 and 48 are based...Ch. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - The following graph shows annual U.S. exports and...Ch. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - What is wrong with the following claim? I...Ch. 7.2 - Your pharmaceutical company monitors the amount of...Ch. 7.3 - In Exercises 1-8, find the average of the function...Ch. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - In Exercises 9 and 10, complete the given table...Ch. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - In Exercises 1324, calculate the 5-unit moving...Ch. 7.3 - In Exercises 1324, calculate the 5-unit moving...Ch. 7.3 - In Exercises 1324, calculate the 5-unit moving...Ch. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - In Exercises 1324, calculate the 5-unit moving...Ch. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Television Advertising The cost, in millions of...Ch. 7.3 - Television Advertising The cost, in millions of...Ch. 7.3 - Membership: Facebook The number of new members...Ch. 7.3 - Membership: MySpace The number of new members...Ch. 7.3 - Prob. 39ECh. 7.3 - Health Expenditures Annual expenditures on health...Ch. 7.3 - Prob. 41ECh. 7.3 - Investments If you invest $10,000 at 12% interest...Ch. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Bottled Water Sales The rate of U.S. sales of...Ch. 7.3 - Bottled Water Sales The rate of U.S. per capita...Ch. 7.3 - Prob. 55ECh. 7.3 - Pasta Imports in the 1990s In 1990 the United...Ch. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - Prob. 2ECh. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - Prob. 5ECh. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - Prob. 7ECh. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - In Exercises 112, calculate the consumers surplus...Ch. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - Prob. 23ECh. 7.4 - In Exercises 1324, calculate the producers surplus...Ch. 7.4 - In Exercises 2530, find the total value of the...Ch. 7.4 - In Exercises 2530, find the total value of the...Ch. 7.4 - In Exercises 2530, find the total value of the...Ch. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - In Exercises 2530, find the total value of the...Ch. 7.4 - Prob. 31ECh. 7.4 - In Exercises 3136, find the total value of the...Ch. 7.4 - In Exercises 3136, find the total value of the...Ch. 7.4 - Prob. 34ECh. 7.4 - In Exercises 3136, find the total value of the...Ch. 7.4 - In Exercises 3136, find the total value of the...Ch. 7.4 - College Tuition A study of U.S. colleges and...Ch. 7.4 - Fast Food A fast-food outlet finds that the demand...Ch. 7.4 - Prob. 39ECh. 7.4 - Revenue: Nintendo The annual net sales (revenue)...Ch. 7.4 - Revenue: Walmart The annual revenue earned by...Ch. 7.4 - Revenue: Target The annual revenue earned by...Ch. 7.4 - Prob. 43ECh. 7.4 - Revenue Refer back to Exercise 40. Suppose that,...Ch. 7.4 - Prob. 45ECh. 7.4 - Revenue Refer back to Exercise 42. Suppose that,...Ch. 7.4 - Saving for Retirement You are saving for your...Ch. 7.4 - Saving for College When your first child is born,...Ch. 7.4 - Prob. 49ECh. 7.4 - Saving for College When your first child is born,...Ch. 7.4 - Bonds The U.S. Treasury issued a 30-year bond on...Ch. 7.4 - Prob. 52ECh. 7.4 - Valuing Future Income Inga was injured and can no...Ch. 7.4 - Valuing Future Income Max was injured and can no...Ch. 7.4 - Prob. 55ECh. 7.4 - Complete the following: The present value of a...Ch. 7.4 - Linear Demand Given a linear demand equation...Ch. 7.4 - Linear Supply Given a linear supply equation of...Ch. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - Prob. 5ECh. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - Prob. 20ECh. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - In Exercises 126, decide whether or not the given...Ch. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - In Exercises 2734, use technology to approximate...Ch. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - In Exercises 2734, use technology to approximate...Ch. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Revenue from New Home Sales Revenue from the sale...Ch. 7.5 - Prob. 37ECh. 7.5 - Sales Sales of the text Calculus and You have been...Ch. 7.5 - Sales My financial adviser has predicted that...Ch. 7.5 - Revenue Alarmed about the sales prospects for my...Ch. 7.5 - Prob. 41ECh. 7.5 - Prob. 42ECh. 7.5 - Prob. 43ECh. 7.5 - Prob. 44ECh. 7.5 - Prob. 45ECh. 7.5 - Prob. 46ECh. 7.5 - Hair Mousse Sales The amount of extremely popular...Ch. 7.5 - Chocolate Mousse Sales The weekly demand for your...Ch. 7.5 - Prob. 49ECh. 7.5 - Prob. 50ECh. 7.5 - Prob. 51ECh. 7.5 - Prob. 52ECh. 7.5 - Prob. 53ECh. 7.5 - Panic Sales Unfortunately, your large supply of...Ch. 7.5 - Prob. 55ECh. 7.5 - Prob. 56ECh. 7.5 - Prob. 57ECh. 7.5 - Prob. 58ECh. 7.5 - Why cant the Fundamental Theorem of Calculus be...Ch. 7.5 - Why cant the Fundamental Theorem of Calculus be...Ch. 7.5 - It sometimes happens that the Fundamental Theorem...Ch. 7.5 - Does the FTC give the correct answer for improper...Ch. 7.5 - Prob. 63ECh. 7.5 - Prob. 64ECh. 7.5 - Prob. 65ECh. 7.6 - In Exercises 1-10, find the general solution of...Ch. 7.6 - In Exercises 1-10, find the general solution of...Ch. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - Prob. 12ECh. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Sales Your monthly sales of green tea ice cream...Ch. 7.6 - Prob. 22ECh. 7.6 - Newtons Law of Cooling For coffee in a ceramic...Ch. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Heating Suppose that a pie at 20F is put in an...Ch. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Determining Demand Nancys Chocolates estimates...Ch. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Approach to Equilibrium The Extrasoft Toy Co. has...Ch. 7.6 - Prob. 38ECh. 7.6 - Prob. 39ECh. 7.6 - Prob. 40ECh. 7.6 - Prob. 41ECh. 7.6 - Prob. 42ECh. 7.6 - Prob. 43ECh. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Why is there always an arbitrary constant in the...Ch. 7.6 - Prob. 47ECh. 7.6 - Prob. 48ECh. 7.6 - Prob. 49ECh. 7.6 - Prob. 50ECh. 7 - In Exercises 1-10, evaluate the given integral....Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - In Exercises 1-10, evaluate the given integral....Ch. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - In Exercises 11-14, find the area of the given...Ch. 7 - In Exercises 11-14, find the area of the given...Ch. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - In Exercises15-18, find the average value of the...Ch. 7 - In Exercises15-18, find the average value of the...Ch. 7 - In Exercises15-18, find the average value of the...Ch. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - In Exercises 19-22, find the 2-unit moving...Ch. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - In Exercises 23 and 24, calculate the consumers...Ch. 7 - In Exercises 23 and 24, calculate the consumers...Ch. 7 - In Exercises 25 and 26, calculate the consumers...Ch. 7 - In Exercises 25 and 26, calculate the consumers...Ch. 7 - In Exercises 27-32, decide whether the given...Ch. 7 - In Exercises 27-32, decide whether the given...Ch. 7 - In Exercises 27-32, decide whether the given...Ch. 7 - In Exercises 27-32, decide whether the given...Ch. 7 - In Exercises 27-32, decide whether the given...Ch. 7 - In Exercises 27-32, decide whether the given...Ch. 7 - In Exercises 33-36, solve the given differential...Ch. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Spending on Stationery Alarmed by the volume of...Ch. 7 - Prob. 38RECh. 7 - Education Costs Billy-Sean OHagan, having...Ch. 7 - Investments OHaganBooks.com keeps its cash...Ch. 7 - Consumerss and Producerss Surplus Currently, the...Ch. 7 - Prob. 42RECh. 7 - Revenue Sales of the best seller A River Burns...Ch. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Acquisitions The Megabucks Corporation is...Ch. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RE
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- Question 1: If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p = 13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts) Solution: A barometer works based on the principle that the pressure exerted by the liquid column balances atmospheric pressure. The pressure is given by: P = pgh Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the liquid column is inversely proportional to its density: Step 1: Given Data PHg hol=hgx Poil • Density of mercury: PHg = 13.6 g/cm³ Density of oil: Poil = 0.92 g/cm³ • Standard height of mercury at 1.00 atm: hμg Step 2: Compute Height of Oil = 760 mm = 0.760 m 13.6 hoil = 0.760 x 0.92 hoil = 0.760 × 14.78 hoil = 11.23 m Step 3: Compare Heights Since oil is less dense than mercury, the column of oil must be much taller than that of mercury. The factor by which it is taller is: Final…arrow_forwardQuestion 3: A sealed flask at room temperature contains a mixture of neon (Ne) and nitrogen (N2) gases. Ne has a mass of 3.25 g and exerts a pressure of 48.2 torr. . N2 contributes a pressure of 142 torr. • What is the mass of the N2 in the flask? • Atomic mass of Ne = 20.1797 g/mol • Atomic mass of N = 14.0067 g/mol Solution: We will use the Ideal Gas Law to determine the number of moles of each gas and calculate the mass of N2. PV = nRT where: • P = total pressure • V volume of the flask (same for both gases) n = number of moles of gas • R 0.0821 L atm/mol K • T = Room temperature (assume 298 K) Since both gases are in the same flask, their partial pressures correspond to their mole fractions. Step 1: Convert Pressures to Atmospheres 48.2 PNe = 0.0634 atm 760 142 PN2 = = 0.1868 atm 760 Step 2: Determine Moles of Ne nNe = mass molar mass 3.25 nNe 20.1797 nne 0.1611 mol Step 3: Use Partial Pressure Ratio to Find narrow_forward"I have written solutions in text form, but I need experts to rewrite them in handwriting from A to Z, exactly as I have written, without any changes."arrow_forward
- 3.12 (B). A horizontal beam AB is 4 m long and of constant flexural rigidity. It is rigidly built-in at the left-hand end A and simply supported on a non-yielding support at the right-hand end B. The beam carries Uniformly distributed vertical loading of 18 kN/m over its whole length, together with a vertical downward load of 10KN at 2.5 m from the end A. Sketch the S.F. and B.M. diagrams for the beam, indicating all main values. Cl. Struct. E.] CS.F. 45,10,376 KN, B.M. 186, +36.15 kNm.7arrow_forwardQize f(x) = x + 2x2 - 2 x² + 4x²² - Solve the equation using Newton Raphsonarrow_forward-b±√√b2-4ac 2a @4x²-12x+9=0 27 de febrero de 2025 -b±√√b2-4ac 2a ⑥2x²-4x-1=0 a = 4 b=-12 c=9 a = 2 b = 9 c = \ x=-42±√(2-4 (4) (9) 2(4)) X = (12) ±√44)-(360) 2(108) x = ±√ X = =±√√²-4(2) (1) 2() X = ±√ + X = X = + X₁ = = X₁ = X₁ = + X₁ = = =arrow_forward
- 3.9 (A/B). A beam ABCDE, with A on the left, is 7 m long and is simply supported at Band E. The lengths of the various portions are AB 1-5m, BC = 1-5m, CD = 1 m and DE : 3 m. There is a uniformly distributed load of 15kN/m between B and a point 2m to the right of B and concentrated loads of 20 KN act at 4 and 0 with one of 50 KN at C. (a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero. (b) Determine the value of the B.M. at this point. (c) Sketch the B.M. diagram approximately to scale, quoting the principal values. [3.32 m, 69.8 KNm, 0, 30, 69.1, 68.1, 0 kNm.]arrow_forward4. Verify that V X (aẢ) = (Va) XẢ + aV X Ả where Ả = xyz(x + y + 2) A and a = 3xy + 4zx by carrying out the detailed differentiations.arrow_forward3. For each of the arrow or quiver graphs shown below, determine analytically V°C and V X Č. From these analytical solutions, identify the extrema (+/-) and plot these points on the arrow graph. (a) C = −✰CosxSiny + ŷSinxCosy -π<ׂу<π Ty (b) C = −xSin2y + ŷCos2y x, y<π -π< (c) C = −xCosx + ŷSiny -π< x, y < πarrow_forward
- 7.10 (B/C). A circular flat plate of diameter 305 mm and thickness 6.35 mm is clamped at the edges and subjected to a Uniform lateral pressure of 345 kN/m². Evaluate: (a) the central deflection, (b) the position and magnitude of the maximum radial stress. C6.1 x 10 m; 149.2 MN/m².] 100 200arrow_forward3.15 (B). A beam ABCD is simply supported at B and C with ABCD=2m; BC 4 m. It carries a point load of 60 KN at the free end A, a Uniformly distributed load of 60 KN/m between B and C and an anticlockwise moment of 80 KN m in the plane of the beam applied at the free end D. Sketch and dimension the S.F. and B.M. diagrams, and determine the position and magnitude of the maximum bending moment. CEL.E.] CS.F. 60, 170, 70KN, B.M. 120, +120.1, +80 kNm, 120.1 kNm at 2.83 m to right of 8.7arrow_forward7.1 (A/B). A Uniform I-section beam has flanges 150 mm wide by 8 mm thick and a web 180 mm wide and 8 mm thick. At a certain section there is a shearing force of 120 KN. Draw a diagram to illustrate the distribution of shear stress across the section as a result of bending. What is the maximum shear stress? [86.7 MN/m².arrow_forward
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