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Write the APT geometry statements to define the outline of the part in Figure. Use the lower left corner of the part as the origin in the x-y axis system.
Write the complete APT part program to profile mill the outside edges of the part in Figure. The part is 15 mm thick.
Write the APT geometry statements to define the part geometry shown in Figure. Use the lower left corner of the part as the origin in the x-y axis system.
We assume that the flow between each pair of nodes is known and constant over time; please note that the matrix of such flows need not be symmetric.
A m-Erlang distribution with rate ? is obtained when summing m independent exponential random variables with rate ?.
On the basis of these estimates, what is your forecast for next summer? If the demand scenario (summer 88, autumn 121, winter 110)
Consider a moving-average algorithm with time window n. Assume that the observed values are i.i.d. variables.
In some applications we are interested in the distribution of the maximum among a set of realization of random variables.
A researcher suspects that the dependent variable y is linearly related to both x1 and x2, but believes there is little.
To ll an order for 150 units of its product, a rm wishes to distribute production between its two plants, plant 1 and plant 2.
You will construct truth tables and use them to assess the validity of arguments.
Discuss how you would use the material covered in this module for a future position in management.
Find the solution of the system X' using the method of variation of parameters [2 0 0] [cos(t)]
The problem has to be broken into 2 separate problems using U = V + W with zero conditions on 3 sides for each problem W and V.
Using the bisection method, find the positive root of 2x(1 + x^2)^-1 = arctan x. Using this root as x0; apply Newton's method to the function f(x) .
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000 .
Consider the initial value problem (IVP): y'(t) = y2 subject to y(0)=1
Approximate y(1) using Euler's method and step sizes of 0.2. Perform these calculations by hand. What is the exact value of y(1)?
Show that the series solution of the initial value problem approaches the steady state solution of the initial value problem as t ? 8.
For 00, and the Robin boundary conditions ux(0,t)-a0u(0,t)=0 and ux (L,t)+ aLu(L,t)=0
Let g(x) = 0.5x + 1.5 and p0 = 4, and consider fixed-point iteration-Show that the fixed point is P=3
Use the false position method to compute Co, C1 , c2, and C3,ex — 2 — x = 0. [ao. bo] = [-2.4, —1.6]
Use Riemann's method to solve the Cauchy problem: u*xx + 4u*xy +3u*yy = 1, u=1 and u*n = square root of 5 times x.
Compute and plot the first 100 points of the Euler method for h=0.1, 0.18, 0.23, 0.25, 0.26, 0.28, and 0.3. Discuss your findings.
Find the conditions on a to ensure that the iteration xn+1=xn-af(xn) will converge linearly (en+1˜ 1/2 en) to a zero of f if started near the zero.