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Chapter12007

Calculus: Early Transcendental Functions

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Chapter 1 Test September 6, 2007 Name 1. Find the equation of the line, in General Form, for the line that passes through the point H - 2, 4 L and is perpendicular to the line 3 x + 2 y = 7 2. Draw a sketch of the line - 1 ÄÄÄÄÄÄÄÄ 2 H y + 4 L = x - 3, clearly showing the scale on each of the axes, and labeling two points. 3. Determine if the following function is even or odd. Be sure to justify your answer. f H x L = x 3 sin x 4. The following function is of the form f H x L = a cos @ b H x - h LD + k. Determine the value for the constants a, b, h, and k. Make sure that the constant a is positive. -p - 5 p ÅÅÅÅÅÅÅÅ 6 - 2 p ÅÅÅÅÅÅÅÅ 3 - p ÅÅÅÅ 2 - p ÅÅÅÅ 3 - p ÅÅÅÅ 6 p ÅÅÅÅ 6 p ÅÅÅÅ 3 p ÅÅÅÅ 2 2 p ÅÅÅÅÅÅÅÅ 3 5 p ÅÅÅÅÅÅÅÅ 6 p x - 3 - 2 - 1 1 y
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5. Draw a sketch of the curve y = 2 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ 3 - x , clearly showing the scale on each of the axes, and labeling three points.
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