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Unformatted text preview: Practice p roble ms for MAT 265 Test 1 1. Evaluate the limit if it exists: (a) lim x 2 x 2 x 6 x 2 (b) lim x x 2 8 x 8 x (c) lim t 1 t 3 t 2 3 t 2. Find the limit lim x 3 + x 2 x 3 3. Use the definition of the derivative to find f ' (x) f x = x 3 5x 4. Find the equation of the vertical and horizontal asym ptotes of the function f x = 5 x 2 9 x 2 4 x 2 11 x 6 . 5. Consider the curve y = 5 x 3 60 x 3. a) Algebraically find the x- value(s) where the tangent is horizontal. b) Algebraically find the x- value(s) where the tangent is parallel to the line y = 5 x 3. (c) Find the equation of the line tangent to the curve y = 5x 2 7x at x = 3. 6. Suppose that a baseball is tossed straight u pward and that its height (in feet) as a function of time (in seconds) is given by the formula h t = 4 8 t 1 6 t 2 5....
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This note was uploaded on 09/28/2008 for the course MAT 265 taught by Professor Lin during the Spring '08 term at Foothill College.
- Spring '08