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1. Use Maclaurin series to approximate the following integral to three decimal place accuracy:
0∫½ tan-1 (2x2) dx.
2. Find the Maclaurin series for f(x) = (1+x) / (1+x2), writing out at least the first six terms of the series.
Please sketch a graph of a function f have the indicated characteristics. Please explain.
Statistical Probability: Emergency Call Rates. Let sample mean = 70 and the sample variance = 36 and assume the data is normally distributed. Use ths information to answer the following:
A pebble is shot upward from the top of a building 190 meters tall. If the initial speed is 40 meters per second, how high above the ground will the pebble be after 2 seconds? Round results to the nearest tenth of a meter.
Broom forgot to record a 30 dollar withdrawal at the ATM. The bank statement also collected a 400 dollar noe for broom. Prepare a bank reconciliation?
Write a Matlab program to: 1)Using the classical Monte-Carlo method, estimate the value of the following integral: I = ∫01 x(1-x)3 dx Also, estimate the variance, V (I), of this estimator. Plot both the estimates as functions
Graph y=sinx + cosx restricted to 0
A farmer plans to use 21 m of fencing to enclose a rectangular pen having an area of 55 m². Only three sides of the pen need fencing because of an existing wall. Find the dimensions of the pen.
When Mike throws the frisbee there is a 0.65 probability that Sally gets it, a 0.27 probability that it comes back to Mike, and a 0.08 probability that the dog runs away with the frisbee.
A certain strain of virus grows in numbers at the rate of 50% per hour. If it's present population is 343,000 what will be its population count in 5 hours?
Provide a logical explanation for this relationship (Hint: consider n objects as consisting of n-1 existing objects plus a new nth object.
Find the volume of a standard basketball. round your answer tp the nearest tenth of a cubic inch. If the radius is 9.5.
Random Variables and Probability -Sampling Without Replacement, Not all the selected light bulbs are defective.
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