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1. A boat sails directly toward a 100 - meter skyscraper that stands on the edge of a harbour. The angular size θ of the building is the angle formed by lines from the top and bottom of the building to the observer (see figure).
(a) Express the angle θ as the function of x, the distance of the boat from the building.
(b) The boat is sailing directly toward the skyscraper at 3 m / s. Find dθ/dt when the boat is x = 300 m from the building.
Write an ellipse equation if: a) semi-axis are 5 and 2 b) major axix is 10 and the distance from focar is 2c=8
Use the fact that the sum, difference, and product of any two integers in an integer.
What is your best estimate of the total distance the student's car traveled before coming to rest (note that the best estimate is probably not the over or under estimate that you can most easily find)?
Find the compound amount and compound interest
refer to the following datax0- 1112y2- 2546is there a linear correlation between x and y at the 0.01 significance
The times were approximately Normal and the standard deviation of all such corrections was known to be 1.3 days. What is the rejection point at α = 0.001 to testHo:μ=8vs. Ha:μ>8?
the future lifetimes tx and ty are independent and each has the distribution de?ned by the p.d.f.fy 0.0210 - t 0 lt t
At East Zone University (EZU) there are 575 students taking College Algebra or Calculus. 345 are taking College Algebra, 302 are taking Calculus, and 72 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
A set of digits consists of one 1, two 9's, and one 7. A pair of these digits is randomly selected without replacement. What is the probability that the pair can be arranged to form a two-digit prime number?
At a selling price of $ 61 , a lamp company breaks even on total sales of $ 3355 . If the company's overhead is $ 495 , find the marginal production cost per lamp and find the profit on sales of 123 lamps.
A university has 10,000 students of which 50% are male. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire functi..
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