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An airplane can fly with an airspeed of 560 mph. The pilot wishes to fly the plane on a course that is due west. A 50 mph wind has a bearing of S 80 E. What course (bearing) should the pilot take in order to result in a course that is due west? what will be the ground speed of the plane?
Find a linear function for the cost, C , of waste collection as a function of the number of kilograms of waste, w.
Pick any one method that can be used here, just name the method you used and explain how you will find the polynomial that will represent the length of the deck? Hint: Area of deck = length * width.
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
A poster is to have an area of 150 square inches with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
A family is canoeing downstream (with current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank.
Single women. The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.
Diastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
A poster is to have an area of 180 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
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..
Show that the osculating plane at every point on the curve r(t)= is the same plane. What can you conclude about the curve?
How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
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