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# hw03 - x-1(b f x = x 2 x x-1 x-2(c f x = x-1 √ x 6 A...

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Homework # 3 Due: 6/6/06 1. Find an equation of the tangent line to y = 2 x + 1 at the point (4,3). 2. Draw a graph of a function f that has the properties g (0) = 0 g (0) = 3 g (1) = 0 g (2) = 1 3. Use the limit definition of the derivative to compute f ( a ) if f ( x ) = x 2 +1 x - 2 4. Find f ( x ) and find the points where the tangent line is horizontal if f ( x ) = x 2 +2 x +1. Again, use the limit definition of the derivative. 5. Find f ( x ) and its domain for (a) f ( x ) =
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Unformatted text preview: x-1 (b) f ( x ) = x 2 + x + x-1 + x-2 (c) f ( x ) = ( x-1) √ x 6. A particle moves according to s = f ( t ) = t 4-4 t + 1 for t ≥ 0, where t is seconds and s is feet. (a) Find the velocity at time t (b) When is the particle at rest? (c) When is the particle moving in the negative direction? (d) Find the total distance traveled during the ﬁrst 8 seconds....
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