Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Chapter R.1, Problem 95ES
To determine
To simplify:
The given addition and subtrcation of fractions.
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2. Show that
8
xa
S
-dx
(b² + 12) dr = 2 cos(π2)
пра-1
a, b real and
-1 0
Your solution should clearly explain the closed contour you are using, and state clearly any
vanishing properties of integrals over contours that are being used. You are free to quote
from the lectures, the appropriate results on such vanishing properties, without deriving
these properties. Any residue calculations involved should be explained clearly.
Could you please answer this question using excel.Thanks
1. Calculate the integral
500
x sin x
(a² +x2)20
dx
by using the residue theorem. You may assume that a is real and a > 0. Your solution should
clearly explain the closed contour you are using, and state clearly any vanishing properties
of integrals over contours that are being used.
Chapter R Solutions
Path To College Mathematics
Ch. R.1 - Represent the shaded part of each geometric figure...Ch. R.1 - Represent the shaded part of each geometric figure...Ch. R.1 - Prob. 3ESCh. R.1 - Represent the shaded part of each geometric figure...Ch. R.1 - Prob. 5ESCh. R.1 - Write each number as product of primes. See...Ch. R.1 - Prob. 7ESCh. R.1 - Write each number as product of primes. See...Ch. R.1 - Write each number as product of primes. See...Ch. R.1 - Prob. 10ES
Ch. R.1 - Prob. 11ESCh. R.1 - Prob. 12ESCh. R.1 - Prob. 13ESCh. R.1 - Prob. 14ESCh. R.1 - Prob. 15ESCh. R.1 - Prob. 16ESCh. R.1 - Prob. 17ESCh. R.1 - Prob. 18ESCh. R.1 - Prob. 19ESCh. R.1 - Prob. 20ESCh. R.1 - Prob. 21ESCh. R.1 - Prob. 22ESCh. R.1 - Prob. 23ESCh. R.1 - Prob. 24ESCh. R.1 - Prob. 25ESCh. R.1 - Prob. 26ESCh. R.1 - Prob. 27ESCh. R.1 - Multiply or divided as indicated. Simplify the...Ch. R.1 - Multiply or divided as indicated. Simplify the...Ch. R.1 - Prob. 30ESCh. R.1 - Prob. 31ESCh. R.1 - Prob. 32ESCh. R.1 - Prob. 33ESCh. R.1 - Prob. 34ESCh. R.1 - Prob. 35ESCh. R.1 - Prob. 36ESCh. R.1 - Prob. 37ESCh. R.1 - Prob. 38ESCh. R.1 - Recall that the area of a plane figure is a...Ch. R.1 - Prob. 40ESCh. R.1 - Prob. 41ESCh. R.1 - Prob. 42ESCh. R.1 - Prob. 43ESCh. R.1 - Add or subtract as indicated. Write the answer in...Ch. R.1 - Prob. 45ESCh. R.1 - Prob. 46ESCh. R.1 - Prob. 47ESCh. R.1 - Prob. 48ESCh. R.1 - Prob. 49ESCh. R.1 - Prob. 50ESCh. R.1 - Prob. 51ESCh. R.1 - Prob. 52ESCh. R.1 - Prob. 53ESCh. R.1 - Prob. 54ESCh. R.1 - Prob. 55ESCh. R.1 - Prob. 56ESCh. R.1 - Prob. 57ESCh. R.1 - Prob. 58ESCh. R.1 - Prob. 59ESCh. R.1 - Prob. 60ESCh. R.1 - Prob. 61ESCh. R.1 - Prob. 62ESCh. R.1 - Prob. 63ESCh. R.1 - Prob. 64ESCh. R.1 - Prob. 65ESCh. R.1 - Prob. 66ESCh. R.1 - Prob. 67ESCh. R.1 - Prob. 68ESCh. R.1 - Prob. 69ESCh. R.1 - Prob. 70ESCh. R.1 - Prob. 71ESCh. R.1 - Prob. 72ESCh. R.1 - Prob. 73ESCh. R.1 - Prob. 74ESCh. R.1 - Prob. 75ESCh. R.1 - Prob. 76ESCh. R.1 - Prob. 77ESCh. R.1 - Mixed Practice Perform the following operations....Ch. R.1 - Prob. 79ESCh. R.1 - Prob. 80ESCh. R.1 - Mixed Practice Perform the following operations....Ch. R.1 - Prob. 82ESCh. R.1 - Prob. 83ESCh. R.1 - Prob. 84ESCh. R.1 - Prob. 85ESCh. R.1 - Mixed Practice Perform the following operations....Ch. R.1 - Prob. 87ESCh. R.1 - Prob. 88ESCh. R.1 - Mixed Practice 121433 Perform the following...Ch. R.1 - Prob. 90ESCh. R.1 - Prob. 91ESCh. R.1 - Prob. 92ESCh. R.1 - Prob. 93ESCh. R.1 - Prob. 94ESCh. R.1 - Prob. 95ESCh. R.1 - Prob. 96ESCh. R.1 - Prob. 97ESCh. R.1 - Prob. 98ESCh. R.1 - Prob. 99ESCh. R.1 - Prob. 100ESCh. R.1 - Prob. 101ESCh. R.1 - Prob. 102ESCh. R.1 - Prob. 103ESCh. R.1 - Prob. 104ESCh. R.1 - Prob. 105ESCh. R.1 - Prob. 106ESCh. R.1 - Prob. 107ESCh. R.1 - Prob. 108ESCh. R.1 - Prob. 109ESCh. R.1 - Prob. 110ESCh. R.2 - Write each decimal as a fraction. Do not simplify....Ch. R.2 - Prob. 2ESCh. R.2 - Prob. 3ESCh. R.2 - Prob. 4ESCh. R.2 - Prob. 5ESCh. R.2 - Prob. 6ESCh. R.2 - Prob. 7ESCh. R.2 - Prob. 8ESCh. R.2 - Prob. 9ESCh. R.2 - Prob. 10ESCh. R.2 - Prob. 11ESCh. R.2 - Prob. 12ESCh. R.2 - Prob. 13ESCh. R.2 - Prob. 14ESCh. R.2 - Prob. 15ESCh. R.2 - Prob. 16ESCh. R.2 - Prob. 17ESCh. R.2 - Prob. 18ESCh. R.2 - Prob. 19ESCh. R.2 - Prob. 20ESCh. R.2 - Prob. 21ESCh. R.2 - Prob. 22ESCh. R.2 - Multiply or divide as indicated. See Example 6 and...Ch. R.2 - Multiply or divide as indicated. See Example 6 and...Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice 654.956.67 Perform the indicated...Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Prob. 35ESCh. R.2 - Prob. 36ESCh. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Mixed Practice Perform the indicated operation....Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Round each decimal to the given place value. See...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Write each fraction as a decimal. If the decimal...Ch. R.2 - Concept Extensions Solve. See the Concept Checks...Ch. R.2 - Concept Extensions Solve. See the Concept Checks...Ch. R.2 - Concept Extensions Solve. See the Concept Checks...Ch. R.2 - Concept Extensions Solve. See the Concept Checks...Ch. R.2 - The chart shows the average number of pounds of...Ch. R.2 - The chart shows the average number of pounds of...Ch. R.2 - The following graph is called a circle graph or...Ch. R.2 - The following graph is called a circle graph or...Ch. R.2 - The following graph is called a circle graph or...Ch. R.2 - The following graph is called a circle graph or...Ch. R.2 - The following graph is called a circle graph or...Ch. R.2 - The following graph is called a circle graph or...Ch. R.3 - Solve. See Example 1 and 2. In a survey of 100...Ch. R.3 - Solve. See Example 1 and 2. A basketball player...Ch. R.3 - One hundred adults were asked to name their...Ch. R.3 - One hundred adults were asked to name their...Ch. R.3 - One hundred adults were asked to name their...Ch. R.3 - One hundred adults were asked to name their...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a decimal. See Examples 3...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each percent as a fraction or mixed number...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Prob. 47ESCh. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each decimal as a percent. See Examples 13...Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction or mixed number as a percent....Ch. R.3 - Write each fraction as a percent. Round to the...Ch. R.3 - Write each fraction as a percent. Round to the...Ch. R.3 - Write each fraction as a percent. Round to the...Ch. R.3 - Write each fraction as a percent. Round to the...Ch. R.3 - Mixed Practice Complete each table. See Example 1...Ch. R.3 - Mixed Practice Complete each table. See Example 1...Ch. R.3 - Mixed Practice Complete each table. See Example 1...Ch. R.3 - Mixed Practice Complete each table. See Example 1...Ch. R.3 - Write each percent as a decimal and a fraction....Ch. R.3 - Write each percent as a decimal and a fraction....Ch. R.3 - Write each percent as a decimal and a fraction....Ch. R.3 - Write each percent as a decimal and a fraction....Ch. R.3 - Write each percent as a decimal and a fraction....Ch. R.3 - Write each percent as a decimal and a fraction....Ch. R.3 - In Exercises 79 through 82, write the percent from...Ch. R.3 - In Exercises 79 through 82, write the percent from...Ch. R.3 - In Exercises 79 through 82, write the percent from...Ch. R.3 - In Exercises 79 through 82, write the percent from...Ch. R.3 - Solve. See Examples 21 and 22. In a particular...Ch. R.3 - Solve. See Examples 21 and 22. The United States'...Ch. R.3 - Solve. See Examples 21 and 22. The mirrors on the...Ch. R.3 - Solve. See Examples 21 and 22. In a particular...Ch. R.3 - Solve. See Examples 21 and 22. The U.S. Postal...Ch. R.3 - Solve. See Examples 21 and 22. In the United...Ch. R.3 - Concept Extensions Solve. See the Concept Checks...Ch. R.3 - Concept Extensions 0.5269, Solve. See the Concept...Ch. R.3 - Concept Extensions Solve. See the Concept Checks...Ch. R.3 - Concept Extensions Solve. See the Concept Checks...Ch. R.3 - Recall that 1=100 This means that 1 whole is 100....Ch. R.3 - Recall that 1=100 This means that 1 whole is 100....Ch. R.3 - What percent of the figure is shaded?Ch. R.3 - What percent of the figure is shaded?Ch. R.3 - Fill in the blanks. A fraction written as a...Ch. R.3 - Fill in the blanks. A decimal written as a percent...Ch. R.3 - Write each fraction as a decimal and then Mite...Ch. R.3 - Write each fraction as a decimal and then Mite...Ch. R.3 - The bar graph shows the predicted fastest-growing...Ch. R.3 - The bar graph shows the predicted fastest-growing...Ch. R.3 - The bar graph shows the predicted fastest-growing...Ch. R.3 - The bar graph shows the predicted fastest-growing...Ch. R.3 - The bar graph shows the predicted fastest-growing...Ch. R.3 - The bar graph shows the predicted fastest-growing...Ch. R.4 - The following pictograph shows the number of acres...Ch. R.4 - The following pictograph shows the number of acres...Ch. R.4 - The following pictograph shows the number of acres...Ch. R.4 - The following pictograph shows the number of acres...Ch. R.4 - Prob. 5ESCh. R.4 - The following pictograph shows the number of acres...Ch. R.4 - The following pictograph shows the number of acres...Ch. R.4 - The following pictograph shows the number of acres...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The following pictograph shows the average number...Ch. R.4 - The National Weather Service has exacting...Ch. R.4 - The National Weather Service has exacting...Ch. R.4 - The National Weather Service has exacting...Ch. R.4 - The National Weather Service has exacting...Ch. R.4 - The National Weather Service has exacting...Ch. R.4 - The National Weather Service has exacting...Ch. R.4 - The following horizontal bar graph shows a recent...Ch. R.4 - The following horizontal bar graph shows a recent...Ch. R.4 - The following horizontal bar graph shows a recent...Ch. R.4 - The following horizontal bar graph shows a recent...Ch. R.4 - The following horizontal bar graph shows a recent...Ch. R.4 - The following horizontal bar graph shows a recent...Ch. R.4 - Use the information given to draw a vertical bar...Ch. R.4 - Use the information given to draw a vertical bar...Ch. R.4 - Prob. 31ESCh. R.4 - Prob. 32ESCh. R.4 - The histogram to the right shows the number of...Ch. R.4 - The histogram to the right shows the number of...Ch. R.4 - Prob. 35ESCh. R.4 - The histogram to the right shows the number of...Ch. R.4 - Prob. 37ESCh. R.4 - The histogram to the right shows the number of...Ch. R.4 - The histogram to the right shows the number of...Ch. R.4 - The histogram to the right shows the number of...Ch. R.4 - The histogram to the right shows the number of...Ch. R.4 - The histogram to the right shows the number of...Ch. R.4 - Prob. 43ESCh. R.4 - The following histogram shows the ages of...Ch. R.4 - The following histogram shows the ages of...Ch. R.4 - The following histogram shows the ages of...Ch. R.4 - The following histogram shows the ages of...Ch. R.4 - The following histogram shows the ages of...Ch. R.4 - Prob. 49ESCh. R.4 - The following histogram shows the ages of...Ch. R.4 - The following list shows the golf scores for an...Ch. R.4 - The following list shows the golf scores for an...Ch. R.4 - Prob. 53ESCh. R.4 - Prob. 54ESCh. R.4 - Twenty-five people in a survey were asked to give...Ch. R.4 - Prob. 56ESCh. R.4 - Prob. 57ESCh. R.4 - Prob. 58ESCh. R.4 - Prob. 59ESCh. R.4 - Prob. 60ESCh. R.4 - Use the frequency distribution table from...Ch. R.4 - Use the frequency distribution table from...Ch. R.4 - Prob. 63ESCh. R.4 - Beach Soccer World Cup is now held every two...Ch. R.4 - Prob. 65ESCh. R.4 - Beach Soccer World Cup is now held every two...Ch. R.4 - Beach Soccer World Cup is now held every two...Ch. R.4 - Prob. 68ESCh. R.4 - Prob. 69ESCh. R.4 - Beach Soccer World Cup is now held every two...Ch. R.4 - The following circle graph is a result of...Ch. R.4 - The following circle graph is a result of...Ch. R.4 - Prob. 73ESCh. R.4 - The following circle graph is a result of...Ch. R.4 - Prob. 75ESCh. R.4 - The following circle graph is a result of...Ch. R.4 - The following circle graph shows the percent of...Ch. R.4 - The following circle graph shows the percent of...Ch. R.4 - Prob. 79ESCh. R.4 - The following circle graph shows the percent of...Ch. R.4 - Prob. 81ESCh. R.4 - The total amount of land from the continents is...Ch. R.4 - Prob. 83ESCh. R.4 - The total amount of land from the continents is...Ch. R.4 - Prob. 85ESCh. R.4 - The following circle graph shows the percent of...Ch. R.4 - The following circle graph shows the percent of...Ch. R.4 - The following circle graph shows the percent of...Ch. R.4 - Prob. 89ESCh. R.4 - If this has 125,600 books, find how many books are...Ch. R.4 - Prob. 91ESCh. R.4 - If this has 125,600 books, find how many books are...Ch. R.4 - Prob. 93ESCh. R.4 - If this has 125,600 books, find how many books are...Ch. R.4 - Concept Extensions The following double line graph...Ch. R.4 - Prob. 96ESCh. R.4 - Prob. 97ESCh. R.4 - Concept Extensions The following double line graph...Ch. R.4 - Concept Extensions The following double line graph...Ch. R.4 - Concept Extensions The following double line graph...Ch. R.4 - Concept Extensions The following double line graph...Ch. R.4 - Concept Extensions The following double line graph...Ch. R.4 - Prob. 103ESCh. R.4 - The following circle graph shows the relative...Ch. R.4 - Prob. 105ESCh. R.4 - These oceans together make up 264,489,800 square...Ch. R.4 - Prob. 107ESCh. R.4 - These oceans together make up 264,489,800 square...Ch. R.4 - The following circle graph summarizes the results...Ch. R.4 - The following circle graph summarizes the results...Ch. R.4 - The following circle graph summarizes the results...Ch. R.4 - The following circle graph summarizes the results...Ch. R.4 - The following circle graph summarizes the results...Ch. R.4 - The following circle graph summarizes the results...Ch. R.4 - See the Concept Checks in this section. Can the...Ch. R.4 - True or false? The smaller a sector in a circle...Ch. R - Chapter R Vocabulary Check Fill in each blank with...Ch. R - Prob. 2VCCh. R - Chapter R Vocabulary Check Fill in each blank with...Ch. R - Prob. 4VCCh. R - Prob. 5VCCh. R - Prob. 6VCCh. R - Prob. 7VCCh. R - Prob. 8VCCh. R - Prob. 9VCCh. R - Prob. 10VCCh. R - Chapter R Vocabulary Check Fill in each blank with...Ch. R - Chapter R Vocabulary Check Fill in each blank with...Ch. R - Prob. 13VCCh. R - Prob. 14VCCh. R - Prob. 15VCCh. R - Prob. 16VCCh. R - Prob. 1RCh. R - (R.1) Write the number as product of prime...Ch. R - Prob. 3RCh. R - Perform the indicated operations. Write results in...Ch. R - Prob. 5RCh. R - Perform the indicated operations. Write results in...Ch. R - Perform the indicated operations. Write results in...Ch. R - Perform the indicated operations. Write results in...Ch. R - Perform the indicated operations. Write results in...Ch. R - Perform the indicated operations. Write results in...Ch. R - Each circle represents a whole, or 1. Determine...Ch. R - Each circle represents a whole, or 1. Determine...Ch. R - Find the area and the perimeter of each figure.Ch. R - Find the area and the perimeter of each figure.Ch. R - What was the total weigh of the boy octuplets?Ch. R - What was the total weight of the girl octuplets?Ch. R - Prob. 17RCh. R - Which baby weighed the most?Ch. R - Prob. 19RCh. R - How much more did the heaviest baby weigh than the...Ch. R - Prob. 21RCh. R - Write each decimal as a fraction. Do not simplify....Ch. R - Prob. 23RCh. R - Prob. 24RCh. R - Perform each indicated operation. 184.62Ch. R - Prob. 26RCh. R - Prob. 27RCh. R - Prob. 28RCh. R - Prob. 29RCh. R - Perform each indicated operation. 0.0613.8Ch. R - Prob. 31RCh. R - Round each decimal to given place value. 25.6293,...Ch. R - Prob. 33RCh. R - Prob. 34RCh. R - Write each fraction as a decimal. If the decimal...Ch. R - Write each fraction as a decimal. If the decimal...Ch. R - (R.3) Solve. In a survey of 100 adults, 37...Ch. R - Prob. 38RCh. R - Write each percent as a decimal. 26Ch. R - Write each percent as a decimal. 75Ch. R - Prob. 41RCh. R - Write each percent as a decimal. 1.5Ch. R - Prob. 43RCh. R - Write each percent as a decimal. 400Ch. R - Prob. 45RCh. R - Write each percent as a decimal. 85.34Ch. R - Prob. 47RCh. R - Write each decimal as a percent. 0.055Ch. R - Prob. 49RCh. R - Prob. 50RCh. R - Prob. 51RCh. R - Prob. 52RCh. R - Prob. 53RCh. R - Prob. 54RCh. R - Prob. 55RCh. R - Prob. 56RCh. R - Prob. 57RCh. R - Write each percent as a fraction or mixed number...Ch. R - Prob. 59RCh. R - Write each percent as a fraction or mixed number...Ch. R - Prob. 61RCh. R - Prob. 62RCh. R - Prob. 63RCh. R - Write each fraction or mixed number as percent....Ch. R - Prob. 65RCh. R - Write each fraction or mixed number as percent....Ch. R - Prob. 67RCh. R - Prob. 68RCh. R - Write each fraction or mixed number as percent....Ch. R - Write each fraction or mixed number as percent. 58Ch. R - (R.4) The following pictograph shows the number of...Ch. R - (R.4) The following pictograph shows the number of...Ch. R - Prob. 73RCh. R - Prob. 74RCh. R - Prob. 75RCh. R - Prob. 76RCh. R - The following bar graph shows the percent of...Ch. R - The following bar graph shows the percent of...Ch. R - The following bar graph shows the percent of...Ch. R - The following bar graph shows the percent of...Ch. R - Prob. 81RCh. R - The following line graph shows the total number of...Ch. R - Prob. 83RCh. R - The following line graph shows the total number of...Ch. R - The following line graph shows the total number of...Ch. R - The following line graph shows the total number of...Ch. R - Prob. 87RCh. R - Prob. 88RCh. R - Prob. 89RCh. R - The following histogram shows the hours worked per...Ch. R - Prob. 91RCh. R - Following is a list of monthly record high...Ch. R - Following is a list of monthly record high...Ch. R - Use the table from Exercises 91-93 to draw a...Ch. R - Prob. 95RCh. R - The following circle graph shows a familys $4000...Ch. R - Prob. 97RCh. R - The following circle graph shows a familys $4000...Ch. R - The following circle graph shows a familys $4000...Ch. R - The following circle graph shows a familys $4000...Ch. R - Prob. 101RCh. R - In a recent year, there were approximately 62...Ch. R - Prob. 103RCh. R - In a recent year, there were approximately 62...Ch. R - Prob. 1TCh. R - Prob. 2TCh. R - Prob. 3TCh. R - Prob. 4TCh. R - Perform each indicated operation and simplify....Ch. R - Prob. 6TCh. R - Prob. 7TCh. R - Prob. 8TCh. R - Prob. 9TCh. R - Prob. 10TCh. R - Prob. 11TCh. R - Prob. 12TCh. R - Prob. 13TCh. R - Prob. 14TCh. R - Prob. 15TCh. R - Prob. 16TCh. R - Prob. 17TCh. R - Prob. 18TCh. R - Prob. 19TCh. R - Prob. 20TCh. R - Prob. 21TCh. R - Prob. 22TCh. R - Prob. 23TCh. R - Prob. 24TCh. R - Prob. 25TCh. R - Prob. 26TCh. R - Prob. 27TCh. R - Prob. 28TCh. R - Prob. 29TCh. R - Prob. 30TCh. R - Prob. 31TCh. R - Prob. 32TCh. R - Prob. 33TCh. R - Prob. 34TCh. R - Prob. 35TCh. R - Prob. 36TCh. R - Prob. 37TCh. R - Prob. 38TCh. R - Prob. 39TCh. R - Prob. 40T
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- Questions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forwardSteel Production Planning: Let S represent the amount of steel produced (in tons). Steel Production is related to the amount of labor used(L) and the amount of capital used ( C ) by the following function:S = 20L⁰˙³⁰C⁰˙⁷⁰In this formula L represents the units of Labor input and C the units of Capital input. Each unit of Labor costs $50, and each unit of Capital costs $100. a:Formulate an optimization problem that will determine how much labor and capital are needed to produce 50,000 tons of steel at minimum cost. Q#3B: Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial L>0 and C>0.)…arrow_forwardUse the accompanying Grade Point Averages data to find 80%,85%, and 99%confidence intervals for the mean GPA. view the Grade Point Averages data. Gender College GPAFemale Arts and Sciences 3.21Male Engineering 3.87Female Health Science 3.85Male Engineering 3.20Female Nursing 3.40Male Engineering 3.01Female Nursing 3.48Female Nursing 3.26Female Arts and Sciences 3.50Male Engineering 3.00Female Arts and Sciences 3.13Female Nursing 3.34Female Nursing 3.67Female Education 3.45Female Engineering 3.17Female Health Science 3.28Female Nursing 3.25Male Engineering 3.72Female Arts and Sciences 2.68Female Nursing 3.40Female Health Science 3.76Female Arts and Sciences 3.72Female Education 3.44Female Arts and Sciences 3.61Female Education 3.29Female Nursing 3.20Female Education 3.80Female Business 3.26Male…arrow_forward
- (3) (20 points) Let F(x, y, z) = (y, z, x²z). Define E = {(x, y, z) | x² + y² ≤ z ≤ 1, x ≤ 0}. (a) (2 points) Calculate the divergence V. F. (b) (4 points) Let D = {(x, y) | x² + y² ≤ 1, x ≤ 0} Without calculation, show that the triple integral √ (V · F) dV = √ 2²(1. = x²(1 − x² - y²) dA. Earrow_forwardBusiness Discussarrow_forward(2) (22 points) Let F(x, y, z) = (x sin y, cos y, ―xy). (a) (2 points) Calculate V. F. (b) (6 points) Given a vector field is everywhere defined with V G₁(x, y, z) = * G2(x, y, z) = − G3(x, y, z) = 0. 0 0 F(x, y, z) = (F₁(x, y, z), F₂(x, y, z), F(x, y, z)) that F = 0, let G = (G1, G2, G3) where F₂(x, y, y, t) dt - √ F³(x, t, 0) dt, * F1(x, y, t) dt, t) dt - √ F Calculate G for the vector field F(x, y, z) = (x sin y, cos y, -xy).arrow_forward
- 5) Solve the triangle. 2 95° 4 B с A) c=3.63, A=59.5°, B = 25.5° C) c = 4.63, A = 59.5°, B = 25.5° A B) c 4.63, A 25.5°, B = 59.5° = = D) c 5.63, A = 25.5°, B = 59.5°arrow_forwardFind zw. Leave your answer in polar form. = လ 3π 2 z = 6 cos 6 cos 37 3π + i sin 2 57 W = 12 cos + i sin 6 6 ༠།ལྦ་arrow_forward10 Write the expression (1 – i) i)in the standard form a + bi.arrow_forward
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