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a telephone line hangs between two poles 14 m apart in the shape of the catenary y = 21 cosh(x/21) - 16,where x and y are measured in meters.
(a) Find the slope of this curve where it meets the right pole. (Round your answer to four decimal places.)(b) Find the angle θ between the line and the pole. (Round your answer to two decimal places.)
Determine the time that needs to elapse before the pan is 160 F. What do you notice about the temperature as time passes?
How do I relate the relationship between geometry and abstract algebra to how the symmetries of a square are conceptualized as the dihedral group of 8?
Calculate the mean and the standard deviation of the total score?
You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Let G be finite abelian group with this property: For each positive integer m such that m | |G|, there are exactly m elements in G with order dividing m. Prove that G is cyclic.
If the mean is 510, the standard deviation is 80, and the SAT Math scores are rounded to the nearest 10 points, what is the lowest SAT Math score that would be used for sending letters?
Use the given information to draw the graph of f(x) on an interval near the indicated point (x=3). If there is not enough information given, then state this fact.
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
At a company, there are n more male employees than female employees. If there are k male employees at the company, what fraction of the employees are male, in terms of n and k?
Using a 0.025 significance level, test the claim that the proportions of agree/disagree responses are same for the subjects interviewed by men & the subjects interviewed by women.
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