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Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0 C and 100 C, respectively. A small metal bar, whose initial temperature is 100 C, is lowered into container A. After 1 minute the temperature of the bar is 90 C. After 2 minutes the bar is removed and instantly transferred to the other container. After 1 minute in container B the temperature of the bar rises 10 C. How long, measured from the start of the entire process, will it take the bar to reach 99.9 C?
1.Find the area of the region enclosed between y=2sin(x) and y=4 cos(x) from x=0 to x=0.6pi.
A rancher has 30,000 linear feet of fencing and wants to enclose a rectangular field and then divide into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
a copper cube 0.31 m on a side is subjected to two shearing forces each which has a magnitude f 5.80106 n. find the
Suppose you have a pipe with circumference of 8 and length of 30 and that 10 turns of the wire are wrapped around the pipe. What is the length of the wire?
What is the probability of drawing three queens in a row from a deck of cards when the drawn card is returned each time?
If you were to graph these functions, what feature would appear in the graph at the limiting value? Why?
Find the supply and demand for particular value when supply and demand functions are given and How many videotapes are demanded at a price of $20?
you are designing a basketball court to put in your backyard and you are given 975 feet of fencing. What are the detentions that would maximize the area of the court?
Determine a formula for this particular aircraft that gives the takeoff roll as an exponential function of airport elevation. (Note: Use the general exponential function.)
Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
there were 244 pencils altogether. sean put them into 3 boxes. there were 70% more pencils in box A than in box B. there were twice as many pencils in box C than in box A. how many pencils were in each box?
Give a formula for the annual inventory control costs, C, as a function of the maximum storage size, s. (This would only be valid for the first five years.)
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