This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ) at the point where t = π/ 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 deﬁned on (∞ , + ∞ ) is also continuous. A continuous function deﬁned on (∞ , + ∞ ) must have a minimum value. A rational function is continuous everywhere except at the points where the denominator is zero. If f is diﬀerentiable 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 (π/ 4 , π/ 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 brieﬂy. 4...
View
Full Document
 Spring '08
 STAFF
 Calculus, Topology, Derivative, pts, Metric space

Click to edit the document details