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A plane is flying horizontally at an altitude of 3 kilometres and at a speed of 480 km/h passes directly above an observer on the ground. How fast is the distance between the observer and the plane increasing 30 seconds later? At what rate is the angle of elevation changing at this time?
If a window entails a seamless glass area formed by a rectangle capped by semi-circle, if the semi-circle's diagonal and the rectangle's width coincide, and if the window's exterior perimeter is 16 feet
A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
Able industries bought a fax machine for $250. It is expected to depreciate at a rate of 25% per year. What will be the value of the fax machine in 3 years.
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
Suppose that for X = net amount won or lost in a lottery game, the expected value is E(X) = -$0.50. What is the correct interpretation of this value?
A manufacturing company has 10 machines in continous operation during a workday. The probability that an individual machine will break down during the day is .10
the width of a swimming pool in feet is a prime number greater than 10 the width and lenght of the pool are factors of 408 what are the dimentions of the pool.
Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit
Find the exponential function N(t) given the growth factor of N is 5.02 and
Find the equation of the sphere if one of its diameters has endpoints (-8, 6, 10) and (-5, 12, 19) which has been normalized so that the coefficient of x^2 is 1.
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