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1. Consider the integral Integral
-1∫2(x2 -4x3 -12x2 + 6x -7) dx. (1)
Consider the use of the trapezoid method to approximate (1). Use the error estimation formula
|error| K2(b -a)3/12n2
to determine the minimum number of subintervals that should be used to guarantee that the trapezoid method approximation of (1) is accurate to within 0.001 of the exact value of (1). Then demonstrate that this degree of accuracy is actually achieved by your approximation.
2. Repeat Exercise 1) above for Simpson's method for which the error estimation formula is |error| K4(b-a)5/180n4
The perimeter of a swimming pool is 97m. The width is 2m more than helf of lenght of the pool, find the lenght and the width of the pool?
The function below is broken.
A force of 623 lb is required to pull a boat up a ramp inclined at 22.0 degrees with the horizontal. How much does the boat weight?
represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or ..
Determine the coefficient of restitution for each of the following objects dropped from a height of 2 meters onto a wooden floor.
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a sky diver jumping from a plane at a height of 5,000 feet. He will fall 16 feet in the first second. Thereafter, until the parachute opens, the distance fallen during each second will be 32 feet more than the distance fallen during the previous s..
Problem: Use the order of operations to simplify the expression.
The different scenarios and their probabilities are An urn has 2 one dollar bills, one 5$ bill and one 10$ bill. A player draws one bill at a time with out replacing them until a ten dollar bill is drawn, then the game stops.
The statistic most often used to describe company salaries is the median or the mean. For this company, does the mean give an accurate description of the salaries? Why or why not?
AT what time during the morning si the worker performing least efficiently
Let F(u,v) be a function of two variables. Find f '(x) for each of the following. Use F_u and F_v for F_u and F_v
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