Determine the fixed points
Determine the fixed points for each of the following functions:
a) e^x + 1
b) e^-x - x
c) x^2 - 4 sinx
d) x^3 + 6x^2 + 11x-6
e) sinx
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A 25 year, $1000 par value bond has an 8.5% annual payment coupon. The bond currently sells for $925. If the yield to maturity remains at its current rate, what will the price be 5 years from now?
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A storage barrel holds a volume of 100 gal. Waht is the load in lbf (not lbm) of the water in the barrel if it is filled to the top? Assume g=15.9ft/s^2, the density of the water is 1000kg/m^3, weight is in Newton's and 1 N = 1kg*m/sec^2.
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Provide an example of a sequence (fn) of bounded functions on [0, 1] which converges pointwise to a function f but does not converge uniformly to f. Briefly justify your example.
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