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A ski lift begins at ground level 0.75 mile from the base of a mountain whose face has a 50 degree angle of elevation. The ski lift ascends in a straight line at an angle of 20 degrees. Find the length of the ski lift from the beginning of the ski lift to the top of the mountain to the nearest hundredth of a mile.
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Solve the following linear, first-order differential equations and ensure that the initial conditions are satisfied. Show whether or not the steady-state solutions are stable.
If a person is 5 feet 4 inches tall, what effect does a 8% increase in weight have on S?
In an Asian country with a population of 6 million, 60,000 deaths occurred during the year ending December 31, 2005. These included 30,000 deaths from cholera in 100,000 people who were sick with cholera. What was the case-specific mortality rate ..
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
Find the area of a sector having a central angle of 60° in a circle of radius 8 inches. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.00 m/s?
find the point of intersection of each pair of lines
What is the probability the length of an Atlantic croaker is less than 8 inches? Between 8 and 12 inches?
When n is a positive integer by using mathematical induction and the formula of d/dz[f(z)g(z)]=f(z)g'(z)+f'(z)g(z) for the derivative of the product of 2 functions.
Suppose that 5000 sales invoices are separated into four strata. Stratum 1 contains 50 invoices, stratum2 contains 500 invoices, stratum 3 contains 1000 invoices and stratum 4 contains 3450 invoices. A sample of 500 sales invoices is needed. What ..
there are 12 bottles in a case of syrup each bottle contains 24 fl oz of syrup find the number of quarts of syrup in the case.
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