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Initially, the depth of water in a tank is 32m . Water drains from the tank through a hole cut in the bottom. At t minutes the water begins drainning, the depth of water in the tank is x metres. The water level changes at a rate equal to (-2t-4).
a) Find an expression for x in terms of t.
b) Hence, determine how long it takes for to completely drain from the tank.
Find the maximum volume of a rectangular box with square ends that satisfies the delivery company's requirements.
Analyzing the graph of the given function using first and second derivative
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
The difference is accumulated every 1/10th of a second for one day. What is the magnitude of the accumulated difference
Solve the given equation and Solve the equation by factoring - Solve the equation using the method of your choice
When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?
A ball is thrown upward with a speed of 96 ft/s from the top of a building if height 432. Find the maximum height that it can reach.
find the percentage of SAT scores less than 1500; c. find the percentage of SAT scores between 1600 and 2100.
Find the volume of the solid bounded above by z=x^2 and abounded below by the region enclosed by y=2-x^2 and y=x. Find the volume of the solid in the first octant bounded by the coordinate planes z=4-y^2 and the plane x=3. Find the volume of the wedg..
A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?
A poster is to have an area of 250 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
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