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an aircraft flew four hours with the wind. the return trip took 5 hours with the wind. if the speed of the plane in still air is 144 miles per hour more than the speed of the wind find the wind speed and the speed of the plane in still air.
Find the radian measure of the central angle of a circle of radius 245 feet that interecepts an arc of 150 feet.
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
Recall that this sample statistic is meant to approximate the population parameter. For a 95% confidence level, what is the margin of error for this poll?
Use the leading coefficient test to determine the behavior of the function.
Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
a basektball court has a perimeter of 284 ft.the length is 42ft longer than the width.find the dimensions of the court.
Let the sum from n=m to infinity of a_n be a formal series of real numbers. If this series is absolutely convergent, then it is also conditionally convergent.
In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
calc the revenue in dollars for producing x chairs is given by r(x)=50 and the cost to produce the chairs is given by x(x)=.001 x^3-.1x^2+12x+1500. Find the production level that will maximize the profit.
What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
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