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1. Solve cos(x)=2x, using fixed point iteration to 5 decimal places
Do 5 iterations. Solve , using fixed point iteration to 5 decimal places
The website for the Bed and Breakfast Inns of North America gets approximately seven visitors per minute (Time, September 2001). Suppose the number of website visitors per minute follows a Poisson probability distribution. a. What is the mean time between visits to the website? b. Show the exponential density function for the time between website visits. c. What is the probability no one will access the website in a 1-minute period? d. What is the probability no one will access the website in a 12-second period?
State the Euler's method formula for yk +1 in terms of tk , yk and t when approximating the solution to the initial value problem
dy = f (t, y) y(t0 ) = y0
Sports shirts are frequently classified as S, M, L, XL for small, medium, large
and extra-large neck sizes. S fits a neck circumference of less than 37cm, M
fits between 37 and 40.5cm and L fits between 40.5cm and 44cm while XL fits
necks over 44cm in circumference. The neck circumference of adult males has
a normal distribution with µ = 40cm and σ = 2cm.
(i) If you wanted to define categories S, M, L, XL so that the categories con-
tained 20%, 30%, 30% and 20% respectively, of the total population of
adult males, what neck sizes must you assign to each of the categories?
True or false.
The global truncation error of an initial value solver can be estimated based on the Taylor series expansion of the solution of the initial value problem
1. Add the binary numbers 11102 and 1112
Approximate f(0.05) use the following data and the Newton forward-difference formula
x 0.0 0.2 0.4 0.6 0.8
f(x) 1.00000 1.22140 1.49182 1.82212 2.22554
b. use the Newton backward-difference formula to approximate f(0.65)
c.Use stirlings formula to approximate f(0.43).
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