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(1) Find the point(s) on the graph of y = 8 ? x2 closest to the point (0, 5).
(2) A Norman Window is to be constructed as shown.
If the perimeter of the window is fixed at 16 feet, find the dimensions x and y that will maximize the area necessary to accommodate the window.
What will be the resulting area?
(3) A right triangle is formed in the first quadrant by the x and y axes and a line through the point (2, 3). Find the vertices of the triangle so that the area is minimum.
1. You decide to invest $15000 into a bank account that that is compounding its interest monthly. Assuming the bank is paying out an interest rate of the current prime rate - 1% (In the event that prime - 1% is less than 1%, use 1%), and the in..
A car is traveling at 92 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
question sam and martha are local names for two lighthouses. sam blinks every 12 seconds martha every 8 seconds. they
Find the average height of the ball over the time interval extending from the time of the ball?s release to its return to ground level. The height at time t is h(t) = 288t - 16t2
choose one of the following pairs of items and compare and contrast the two items listed. be sure to provide examples
A boat leaves a dock at 2pm and travels due south at a speed of 20km/h. Another boast has been heading due east at 15km/h and reaches the same dock at 3. at what time were the two boats closest together?
a game warden catches, tags and then releases 15 zebras. a month later, a sample of 20 zebras is collected and 6 of them have tags. use this information to estimate the size of the zebra population in that area.
if the worker in a factory is paid rs 2 per hour for normal work and doubles the rate for over time work. write down
For the problem given in Question 2, the probabilities are given by P(10000 miles) = 0.5, P(14000 miles) = 0.3 and P(18000 miles) = 0.2. Compute the expected value for each decision and select the best one. Compute the expected regret value for each..
A 6-ft tall man walks away from a 10-ft tall streetlight at 6 ft/sec. How fast is his shadow increasing when he is 8 feet from the streetlight?
The lateral area of a rectangular prism with height of 5 feet is 175 feet squared. What is the perimeter of the base?
If a "bagger" earns $12 per hour and fills 120 bags per hour. And you estimate the average contents a bag to be $25 per bag. How much is your savings in terms of "bagger" wages
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