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Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is the following.F=(GmM)/r^2Here G is the gravitational constant and r is the distance between the bodies.(a) Find dF/dr(b) Suppose it is known that Earth attracts an object with a force that decreases at the rate of 2 N/km when r = 30,000 km. How fast does this force change when r = 15,000 km?
There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
An average computer mouse inspector can inspect 60 mice per hour. The 48 computer mice inspectors at a particular factory can only inspect 55 mice per hour with a standard deviation of 10. Does the company have reason to believe that these inspect..
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
There were 400 tickets available for a school play. 368 tickets were sold. What percent of the available tickets was not sold?
Find the average value of the function f(x) = cos^3x on the interval 0
A farmer has 300 meters of fencing. The fencing is to be used to enclose a rectangular field and to divide it in half. Find the dimensions of the field that has the maximum area.
Sketching the graph of equation of line - Evaluate the equation of each of the lines with the given properties.
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wate..
From a base elevation of 8300 feet, a mountain in colorado rise to summit elevation of 14, 869 ft over a horizontal distance of 15,842 ft. Find the grade of the peak.
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