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The definite integral
is associated with the diffraction of light, but the integrand f(x)=sin(x2) has no simple antiderivative.
a. Use Simpson's rule (Section 6.3) with n=10 to estimate the value of the given definite integral.
b. Check the result in part (a) by using the numeric integration feature of your calculator.
Tom and Larry must spend a day working together. Tom likes to smoke cigars and the price of a cigar is $2. Larry likes a smoke-free environment.
If Tom’s marginal benefit from a cigar a day is$20 and Larry’s marginal benefit from a smoke-free environment is $25 a day, what is the outcome if they meet at Tom’s home? What is the outcome if they meet at Larry’s home?
Johnson & Johnson's 2009 financial statements include the following items (all dollars in millions):
Balance sheetCurrent assetsCurrent liabilities Total AssetsIncome statementSales Gross profit Net earnings (income) ⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯2009$39,54121,73194,682$61,89743,45012,2662008$34,37720,85284,912$63,74745,23112,949
Compute the following ratios and comment on the trend you can observe from the limited two years of data you have available.
a. Gross profit rate