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Calculus Volume 2 (Tom Apostol).pdf

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Figure 1.1 illustrates the construction geometrically in the vector
FIGURE 5.1Rotation of axes by an orthogonal matrix.The ellipse has Cartesian equationXAXt = 9 in the jc,x,-system, and equation YA Yt = 9 in the y&-system.
Figure 6.1 shows the graphs of the first five of these functions over the interval [-I , I].
FIGURE 9.4Example 3. Saddle point at the origin.
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