Convergent and find the value of lim
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.
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Suggets a bond with twenty years to maturity, 10-percent coupon rate, $1000 par value, and yield to maturity of 12.6-percent. Assume an annual coupon payment has just been paid. Compute the current yield over the next year.
Assume two bonds have the same maturity and one of bonds has coupon rate of 5.2-percent while the other bond has coupon rate of 6.8-percent. If both bonds have the same yield to maturity, the bond with higher price has what coupon rate (expressed
Draw the Hasse diagram of the set S = { {1}, {1,2}, {1,2,3}, {1,2,4}, {1,2,3,4}, {1,2,3,4,5}, {1,2,3,4,6} } partially ordered by inclusion. Identify minimal, maximal, minimum, and maximum elements, if any. Is the set S totally ordered?
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.
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.
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