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a.
To explain: The reason for the spiral
b.
To find: The length of the spiral
c.
To show: The length is
d.
To find: The limits of the
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Chapter 11 Solutions
Calculus: Early Transcendentals (2nd Edition)
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- Suppose that Uncle Scrooge's basement swimming pool in his Duckburg mansion is filled with diamonds, rubies, sapphires, and emeralds having a total value of one million trillion dollars. Suppose that the volume of his swimming pool is two million cubic feet. In a fit of generosity, Uncle Scrooge allows Minnie Mouse to scoop up a bucket full of the jewelry from the swimming pool. The volume of the bucket's holding capacity is 2.8 cubic feet. What is the expected value in trillions of dollars of the jewelry Minnie Mouse has in her bucket, based on this information?arrow_forwardIf the data size of GTA V is 50 GB, Call of Duty is 15 GB, Dota 2 is 16 GB, how much more games of 60 GB can be stored on a 1 TB external drive?arrow_forwardAn organization estimated that in a particular year the population of a country spent $10.5 trillion in personal consumption. The major categories of these expenditures are durable goods($1.1trillion; for example, cars, furniture, recreational equipment), nondurable goods($2.1trillion; for example, food, clothing, fuel), and services($7.1trillion; for example, health care, education, transportation). Complete parts (a) through (e) below. a. What is the approximate annual per capita spending for personal consumption? Assume a population of 265million. (Round to the nearest dollar as needed.) b. What is the approximate daily per capita spending for personal consumption? (Round to the nearest dollar as needed.) c. On average about what percentage of personal spending is devoted to services? (Round to the nearest percent as needed.) d. Spending on health care was estimated to be$1.1 trillion in that year. About what percentage of all personal…arrow_forward
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- Cicadas are flying, plant-eating insects. One species, the 13-year cicadas (Magicicada), spends five juvenile stages in underground burrows. During the 13 years underground, the cicadas grow from approximately the size of a small ant to nearly the size of an adult cicada. The adult body weights (BW) in grams and wing lengths (WL) in millimeters are given for three different species of these 13-year cicadas in the following table. It is of interest to determine if body weight is a significant predictor of wing length for a 13-year cicada. Considering all assumptions for a parametric test are satisfied, use the obtained jamovi © outputs below to answer the following: Is it logical to proceed to simple linear regression? If yes, provide an estimate of the simple linear regression line. Specify which variables should be considered as the response and independent variable.arrow_forwardA rectangular bird sanctuary with one side along a straight river is to be constructed so that it contains 18 km² of area. Find the dimensions of the rectangle to minimize the amount of fence necessary to enclose the remaining three sides. (Give your answer as a whole or exact number.) length of fencing perpendicular to the riverbank: km length of fencing parallel to the riverbank: kmarrow_forwardA city of 70000 residents has an average water demand of 250 L/ca.day. The institutional and commercial, and industrial average areas in the city are 250 and 350 Ha, and water demand expected is 20 and 23 m3 /Ha.d. The public water use and water unaccounted for are 10 and 6 % of total municipal water demand, respectively. Calculate total municipal demand and each component quantity as a % of total municipal demand.arrow_forward
- Peanut butter is produced from raw peanuts. During manufacturing first, the peanut shell, soil, and sand are removed using a sheller. The removed shell, sand and soil correspond to 2/5 of the raw material by weight entering to sheller. Then the deshelled peanuts, containing 5.6% water, 26% protein, 47.5% fat, 18.6% carbohydrate, and 2.3% ash, are roasted. After roasting the water content decreases to 1.8% due to the evaporation during roasting. The roasted peanuts are then subjected to skin removal operation in a blancher where the skins removed constitute about 1/40 of the roasted peanuts. Finally, clean roasted peanuts are finely ground in a grinder with addition of 1 kg hydrogenated fat and 2 kg honey per 100 kg of roasted deskinned peanuts. The product from the grinder is filled into 250 g jars by using a canning machine. Draw the process and calculate the quantities of all the streams per 100 kg of the roasted product entering blancher.arrow_forwardIn asynchronous transfer mode (ATM) (a communication protocol used on backbone networks), data are organized into cells. How many ATM cells can be transmitted in 1 minute over a connection that transmits data at the rate of 500 kilobits per second?arrow_forwardIn asynchronous transfer mode (ATM) (a communications protocol used on backbone networks), data are organized into cells of 53 bytes. How many ATM cells can be transmitted in 1 minute over a connection that transmits data at the rate of 500 kilobits per second?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage