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Consider the region bounded by x2 + y2 = 64 with x ≥ 0, and y ≥ 0. A solid is created so that the given region is its base and cross-sections perpendicular to the x-axis are squares. Set up a Riemann sum and then a definite integral needed to find the volume of the solid.
a. What is the approximate volume of a slice perpendicular to the x-axis?
b. In your definite integral what is the lower endpoint?
c. In your definite integral what is the upper endpoint?
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 608 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. Remember to reduce a..
Use z score to solve the probability. Fluctuation in the prices of precious metals such as gold have been empirically shown to be well approximated by a normal distribution when observed over short interval of time.
Find the sample size needed to assure with 95.44 percent confidence that the sample mean will not differ from the population mean by more than 2 units.
An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings. The 100 filings showed an average preparation time of 90 minutes with a standard deviation of 1..
Tabatha's parents bought a new house in Florida for $110,000. After 10 years, the value was $145,000. Using x as the number of years and y as the house value, graph the two points.
Estimate the standard deviation of the price of a textbook.
sarah buys x pounds of almonds priced at y dollars per pound. jack spends the same amount of money on walnuts priced
Brooke has to set up 70 chairs in equal rows for the class talent show. But,there is not room for more than 20 rows. What are the possible number of rows that Brooke could use?
What does the average cost per board tend to as production increases?
You are asked to find the value of √1-cos A/1+cos A
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 1000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7500 cen..
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