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Unformatted text preview: ) at the point where t = / 6. For maximum credit, use the chain rule as done in class. 3 7) (10 pts) Answer TRUE or FALSE: The sum of any two continuous functions dened on ( , + ) is also continuous. A continuous function dened on ( , + ) must have a minimum value. A rational function is continuous everywhere except at the points where the denominator is zero. If f is dierentiable on the open interval ( a, b ) then it is continuous on the closed interval [ a, b ]. The function cot( x ) is continuous on the interval (/ 4 , / 4). 8) [5pts] Compute lim x + (1 + 2 /x ) x = 9) [5pts] Find all the discontinuities of f ( x ) = csc( x ). 10) [5pts] Suppose a particle has position s ( t ) = t 3 / 32 t 2 + 5 [so, v ( t ) = t 24 t and a ( t ) = 2 t4] for t 0. When is the particle speeding up? slowing down? Explain briey. 4...
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 Spring '08
 STAFF
 Calculus

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