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Polynomial approximation
how to program lagrange polynomial approximation with MATLAB

Vibration of Electronic s Module
An electronic module is mounted on a machine and is modelled as a single degree of freedom spring, mass, and damper. During normal operation, the module of mass

Dynamics
The acceleration of an oscillating particle is defined by the relation a = kx Determine the value of k such that v = 15 in./s when x = 0 and x = 3 in. and v =

Value of real and imaginary parts
In the x,y plane, divide up the xaxis by placing marks at x=a, x=b, and x = 2. Suppose φ is harmonic in the upper half plane and on the segments of the xaxis

Calculate the cost of manufacturing
A manager has determined the cost C, in dollars, for manufacturing is C(q) =85log 10 (10+q/2) for manufacturing, where q is the number of units produced i

Draw concentric circles
Draw concentric circles of radii a and b, each centered at z=id (on the imaginary axis). Suppose φ(x,y) is a harmonic function inside the washer defined by thes

Numerical analysis
The system has a solution near (0.5,0.7). Set up the matrix equation Jδ = f for Newton's method and then carry out one iteration, starting with x 0

Produce a discrete time series
Produce a discrete time series y(t i ) by super positioning 5 cosinusoidal components, for your own choice of the amplitudes (a j ) and frequencies (f j

Modelling
. The Government of Uganda wants to locate a refinery plant that will annually receive crude oil from two wells in Bunyoro region, F1 and F2. The refinery plant

Calculate the heat transfer coefficient
A house wall may be approximated as two 1.2 cm layers of fiber insulating board, a 8 cm layer of loosely packed asbestos, and 10 cm layer of common brick. Assum

Inverse z transform using power series e...
X(z)=1/(1a(z^1))

Provide a derivation
This is a pen and paper exercise, you are expected to provide a detailed derivation. Follow the procedure outlined in the lectures for construction of a sim

Determine the missing entries
Determine the missing entries in the following divided difference table and use the result to estimate f(1/2).

Monthly salary of the clerk
The price indices for the monthly basis salary of a clerk in years 1992 and 1994 based on year 1990 are 128 and 135. The monthly salary of the clerk in the year

Profit per unit
A company's full profit per unit production is given by the function y = 5x 2 +17x12 where x is the number of items produced (in hundreds) and the y is the

