Numerical Methods For Engineers, 7 Ed
Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 23, Problem 23P

Develop an Excel VBA macro program to read in adjacent columns of x and y values from a worksheet. Evaluate the derivatives at each point using Eq. 23.9, and display the results in a third column adjacent to the x and y values back on the spreadsheet. Test your program by applying it to evaluate the velocities for the time-position values from Prob. 23.21.

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2. Derive the component transformation equations for tensors shown be- low where [C] = [BA] is the direction cosine matrix from frame A to B. B[T] = [C]^[T][C]T 3. The transport theorem for vectors shows that the time derivative can be constructed from two parts: the first is an explicit frame-dependent change of the vector whereas the second is an active rotational change of the vector. The same holds true for tensors. Starting from the previous result, derive a version of transport theorem for tensors. [C] (^[T])[C] = dt d B dt B [T] + [WB/A]B[T] – TWB/A] (10 pt) (7pt)
Shade the areas given
of prove- Let (X, Td) be aspace. show that if A closed set in X and r & A, thend (r,A) +0

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Numerical Methods For Engineers, 7 Ed

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