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Two boats are separated by 200 meters. The first boat starts going north at a rate of 5 meters/second and 4 minutes later the second boat starts going south at 3 meters/second. At what rate is the distance separating the two boats changing 20 minutes after the first boat started going?
The electron's acceleration is due to two electric forces parallel to the x axis: = 9.68 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force .
A rocket is launched from atop a 115-foot cliff with an initial velocity of 133 ft/s.
determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Determine the volume of the largest possible cylinder that can be inscribed in a sphere of radius x
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
a different smooth structure on r show that u phi given byis a local chart of the topological manifold m r which is
A package can have a maximum combined length and girth of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (assume that the cross section is a square)
How fast is the radius changing at the instant when the radius is 4 inches? How fast is the surface area changing at the same instant?
A manufacture has been selling 1250 television sets a week at $390 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week.
Annual simple interest of 12% applied at the end of the 6 months. A monthly interest rate of 1% applied at the end of each month and before the start of the next month. Discuss why the two methods result in different results.
Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?
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