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a 6 ft ladder is leaning against a wall. If the bottom of the ladder moves away from the wall at a speed of 3 ft/s, how fast is the midpoint of the ladder falling (towards the ground) when the bottom of the ladder is 3 ftaway from the wall?
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Suppose the scores of 500 college freshmen taking Physics 101 are normally distributed. The mean score is 60 out of 100, and the standard deviation is 10. Find the values defined by the standard deviation that is 3 standard deviations away from th..
what is the smallest number of the remaining 25 votes that a must recieve to guarentee a winn for a?
Calculate the reduced row echelon form of the following matrices. Approximate answers should be entered to at least 4 decimal places.
Find the velocity and position vectors of a particle that has the given acceleration and the given inital velocity and positions.
Calculate and interpret the coefficient of determination
What ordering cost would enable the manager to justify ordering every other day? (Round your intermediate calculations and final answer to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
Find the derivative of the function by using quotient rule.
Three congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?
A plane is heading due south with an airspeed of 227 mph. A wind from a direction of 60 degrees blowing at 16 mph. Find the bearing of the plane.
Allison is saving money to buy a video game system. In the first week, her savings were $8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system.
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