Homework 9

# Homework 9 - 3 and uses the least amount of material(3(10...

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INSTRUCTOR: JOS ´ E MANUEL G ´ OMEZ Homework 9. Due date Wednesday November 16, 2011 Please show all your work. (1) (10 Points) What is the largest area for a right angle triangle whose hypotenuse is 10 cm long? (2) (10 Points) Find the dimensions of a right circular cylinder that is open on the top, is closed on the bottom, has volume 100 cm
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Unformatted text preview: 3 , and uses the least amount of material. (3) (10 Points) Find the point on the curve y = 1 x with x > 0 that is closest to (0 , 0). (4) (10) Use L’Hospital’s rule to evaluate the following limits. (a) (2 Points) lim x → 1 x 4-1 x 5-1 (b) (3 Points) lim x →∞ ln( x ) 2 √ x (c) (2 Points) lim x →∞ x e x (d) (3 Points) lim x → e x-1 sin( x ) 1...
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