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a lighthouse is 4,000 ft from a straight shore. watching the beam on the shore from the point p on the shore that is closest to the lighthouse, an observer notes that the light is moving at a rate of 3 ft/s when it is 1,000 ft from p. how fast is the light revolving at this instant?
An airline has 15 flights from city A to city B and eight flights from city B to city C. In how many ways can you fly from city A to city B.
Find the line integral of f(x,y,z)=x+y+z over the straight-line segment from (2,1,4) to (1,-2,2). The answer is 4(sqrt(14)). Can you show the work.
two tracking stations are on the equator 162 miles apart. a weather ballon is located on a bearing of n 43 from the western station and on a bearing of n 22 e from the eastern station. how far is the ballon from the western station? Round to the n..
Estimate the population after many months - for example many years into the future.
Find the y-coordinate of the point (3+h, ) if this point lies on the graph of the function F(x) = (3/x) - x the y-coordinate of the point is.
At a restaurant the tips are split between the busboy and the waiter in the ration of 2 to 7. Find the amount each received in tips if there was a total of $162 in tips. Declare a variable for one of the peoples tips. Declare the other person's ti..
Write a linear model which expresses number of people who purchase tickets (N) as a function of the price of a ticket (P). What is the physical meaning of the slope in this linear relationship?
If a body of a mass m starting from rest is given a constant acceleration of a,then after time t,its velocity is v=at and its kinetic energy is E=1/2mv^2. If a mass of 0.5 tonne starting from rest is given a constant acceleration of 2.0 m/s^2, fin..
Guy wires 80 feet long supporrt a 65-foot tall telephone pole. To the nearest degree, what angle will the wires make with the ground.
find a record breaking temperature in degree celsius for a town or city in a country other than the united states.
Mrs. Gardner went to the market. She purchased some lettuce heads and some tomatoes. There were 12 items purchased. She bought twice as many tomatoes as lettuce heads.
Let h be a differentiable function defined on the interval [0,3], and assume that h(0)=1 h(1)=2 and h(3)=2. a- argue that there exists a point d belong to [0,3] where h(d)=d.
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