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There were 1000 rooms in a school all with doors closed initially. One day 1000 students were called and numbered from 1 to 1000. Now, each student was sent one by one and could change the status of room only if his own number divides the room number perfectly. Means, for example, student number 1 could open all the rooms which were closed initially since 1 divides all 1 to 1000. Similarly student 2 could change the status of only even room numbers since only room numbers 2,4,6,8,10,12,..,1000 are divisible by 2. Changing the status of room means if the room is closed make it open and vice verse. So after 1000 students done their jobs, how many rooms will be remained open ?
Find an equation for the material surface for t > 0 and show that its "volume" (i.e., area) is conserved. What property of the velocity guarantees that the volume must be conserved?
Plot the curve C for 0 ≤ t ≤ 1 and use the {\bf arrow} feature to plot each of these secant vectors as well as the tangent vector to the curve at p(0). Attach each of these vectors to the point p(0) = (0, 1).
Of course, the domain of x must be [0,+inf) for a real economic problem. And if we want to stay in business, we need to have P(x) > 0. Given C(x) = 2x + 12 and p(x) = 10 - x. Plot C(x) on a piece of graph paper. Let the x-axis represent the number..
The accompanying table shows the total cost of purchasing combinations of differently priced CDs. The types of CDs are labeled A, B, and C.
What is the discriminant of a radical? Why does the discriminant have to be squared before completing the square?
A polynomial f of x is irreducible over Q if and only if (x+alpha) is irreducible over Q for some alpha belong to q Q is a rational.
find the average rate of change of y with respect to x on the given interval.b find the instantaneous rate of change of
If you put $ 2,000 in a savings account that pays 6% interest compounded continuously, how much money will you have in your account in 4 years? Assume you make no additional deposits or withdraws. A: $2,983.65 B: $2,542.50
A lighthouse is fixed 190 feet from a straight shoreline. A spotlight revolves at a rate of 12 revolutions per minute, (24 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 11..
a beam is clamped horizontally at both ends and carries a concentrated load at the middle of the beam. find the static
Determine the space requirements - Develop an initial schematic diagram and determine the cost of this layout and
what must be the amount of the finance charge? round your answer to the nearest cent.using the information provided what is nick,s account balance.
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