Chapter12004

Calculus: Early Transcendental Functions

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Chapter 1 Test September 2, 2004 Name 1. Find the equation of the line, in Slope - Intercept Form, for the line that passes through the point H 2, - 3 L and is perpendicular to the line 2 x + 6 y =- 12. 2. Sketch the line - 2 x = 4 y - 6, clearly labelingthe axes. 3. Draw a sketch of the curve y =- "############### 9 - x 2 + 1, clearly labeling the axes. 4. Draw a sketch of the curve y = » x 2 - 4x » , clearly labeling the axes.
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5. If f H x L = 1 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄ è!!!!!!!!!!!!! 4 - x and g H x L = 2 ÄÄÄÄÄ x , find g H f H x LL and indicate the domain and range using interval notation. 6. Draw a sketch of the curve y = csc J 2 x + p ÄÄÄÄÄ 2 N + 1, clearly labeling the axes. 7. You have recently purchased a TI - 89 titanium for $150. If the calculator depreciates in value each year at the rate of 4 %, describe the value of the calculator as a function of time. When will the calculator be worth $100? 8. Find a parametrization of the ray that starts at H - 3, 4 L and passes through the point H 2, - 2 L .
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9. Bobby ¢ s parents invested $2000 in a savings account when Bobby was born. If interest is earned at the rate of 5
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Unformatted text preview: % compounded monthly, how much money will be in the account on Bobby ¢ s 18 th birthday? 10. Find f-1 H x L if f H x L = x + 3 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x-1 , and indicate both the domain and range for this inverse function. 11. Graph the following parametrically defined plane curve, labeling the axes and indicating the orientation. x = 2 sin t, y = cos t, £ t £ 3 p ÄÄÄÄÄÄÄÄÄ 2 12. Sketch the curve of y = -ln H 2 x + 1 L + 1, clearly labeling the axes, labeling the vertical asymptote, and plotting at least one point. 13. Find the 6 trigonometric ratios at q if q = cos-1 i k j j j j j-3 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ 2 è!!! 3 y { z z z z z 14. Solve for x :-1 + 12 H 4-x L = 4 x 15. Solve for y : ln 2 x + 3-5 x-ln H 2 + y L = ln x 4-ln 7 16. The graph of f H x L is shown. Draw the graph of 2 f H x-1 L + 1, clearly labeling the axes. − 3 − 2 − 1 1 x − 1 1 2 3 4 5 y...
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Chapter12004 - % compounded monthly, how much money will be...

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