Represents the arc length of the curve
Write down an integral which represents the arc length of the curve on the given interval. Don't evaluate the integral.
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Let {Xn} be arbitraty sequence. Illustrate the sequence {Yn} by Yn= 2Xn + (-1)^n / Xn +1 for n belongs to N. PRove that {Yn} has convergent subsequence.
Define {An} by A1 = 1 and An+1 = 6/5-An for n > or = 1. Prove that { An} is convergent and find the value of lim An as n goes to infinity.
Write down the corresponding rectangular equation by eliminating the parameter.
Recall that general solution of the critically damped unforced harmonic oscillator (or mass-spring system) is y(t)=e^(-rt)(k1t+k2) where r, k1 and k2 are constant. Describe that the mass can pass through the equilbrium position of y=0 at most once
Write down an integral which represents the arc length of the curve on the given interval. Don't evaluate the integral..
Write down an integral which represents the area of the surface generated by revolving the curve about the x-axis.
Select the most appropriate measure of central tendency for a specific set of data. Compute the mean, median, and mode from set of data. Discuss the difference between the mean, median, and mode.
The radioactive element americium-241 has a half-life of 432 years. suppose we start with a 50-g mass of americium-241. How much will be left after 229 years? compute the answer to three significant digits.
If $6,000 is placed in account with annual interest rate of 4%, how long will it take the amount to double if the interest is compounded annualy? Round your answer to two decimal places.
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