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A plane flying horizontally at an altitude of 3 mi and a speed of 420 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station.
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
M(dv/dt)= -cv-mg v(0)=0, find v(t) and check that your answer satisfies the initial condition and the differential equation.
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
At one point, Yellowstone's Beartooth Highway rises 315 ft over a horizontal distance of 4500 ft. Find the grade of the road.
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
Find the equation of the line that passes through the points (3,1) and (2,-1). Write the equation in slope-intercept form.
At home medical test kits have increased in popularity in recent years. This year, 300 million test kits are expected to be sold. This represents a 115% increase from the number of kits that were sold last year. How many medical test kits were sol..
Find all triples (x, y, z) of real numbers having the following property: when any one of the numbers is added to the product of the other two, the result equals 2.
What is the maximum possible area of a rectangle inscribed in the ellipse x2 + 4y2 = 4 with the sides of the rectangle parallel to the coordinate axes?
The bucket is filled with 43 pounds of water and is pulled up at a rate of 2.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well. Your ans..
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