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Let xn be a bounded sequence of real numbers. Show that, if all the convergent subsequence converges to the same limit x*, then xn is convergent and converges to x*.
several automobile manufacturers from state j are exporting large numbers of cars to state k taking over large share of
If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor?
A conical paper cup is to have a height of 15 inches. Find the radius of the cone that will result in a surface area of .
What similarities and differences do you see between the functions and linear equations? 2) Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
What is the cost of renting 2 tuxes. What is the cost of renting 2 tuxes, what is the cost of renting 4000 tuxes, what is the marginal and variable cost.
For the following set, which number has the largest absolute value?
A conducting loop in the shape of a square of edge length 12cm carries a current of 15A. A) calculate the magnitude and direction of the magnetic field at the center of the loop. B) Calculate the magnetic field at the center if the same wire is fo..
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The recycling company announce that it will lower the price,starting immediately ,by $0,15 per hundred pounds per day .The scouts can make only one trip to the recycling center.Find the best time for trip.What total income will be recived?
an investment club invested part of 10,000 at 8% annual interest and the rest at 9%.if the annual income from this investment is 860, how much was invested at 8%.
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