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Consider the real number iteration scheme x_n+1 = f(x_n) for n = 1, 2, ... with x_1 given. In addition, suppose there is a number 0
a) Show lx_n+1 - x_nl
b) From this, conclude {x_n}_n is Cauchy.
How close to the ground can the ball fall before it is too late for a warning shout from the balcony to reach the man in time? Assume that the man requires 0.300 s to respond to the warning.
The circumference of a sphere was measured to be 86000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
jan buys 12 pens for $10. each pen costs the same amount of money . write a proportion to find the number of pens jan can buy for $15 . then solve your proportion for the numbers of pens.
The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
A ball of radius 16 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.
An airplane is flying in the direction 148 degrees with an airspeed of 860 km/h. Because of the wind, its groundspeed and direction are, respectively, 800 km/h and 140 degrees. Find the direction and speed of the wind.
if it takes a day and a half for a chicken and a half to lay an egg and a half how much does a quarter half pound of cheese weigh?
A Ferris wheel with a radius of 15 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 27 m above ground level?
How many trees should be planted to maximize the total yield of apples? What is the maximum yield?
An urn contains 6 balls numbered 1 through 6. Suppose you draw a ball from the urn, observe its number, replace the ball, draw a ball again, and observe its number. How many outputs are in the sample space?
jewelry supplier has a supply of pairs of earrings of which 40% are platinum pairs. A jewelry store orders five sets of earrings from this supplier. If the supplier selects the pairs of earrings at random, what is the chance that the jewelry store..
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