lab7_f11

# lab7_f11 - Math 116 Lab 7 Fall 2011 LHpitals rule...

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Math 116 - Lab 7 - Fall 2011. L’Hˆ opital’s rule, Integration, Definite Integrals (Sections 4.5, 5.1 and 5.2 of L/G). You are to provide full solutions to the following problems. You are allowed to collaborate with your classmates, use your notes and textbook and ask the TA for guidance. Direct copying of solutions is not encouraged, nor is it allowed or ethical. Last name: First name: Student number: 1

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Math 116 - Lab 7 - Fall 2011. Student number: L’Hˆ opital’s rule, Integration, Definite Integrals (Sections 4.5, 5.1 and 5.2 of L/G). 1. Determine the value of the limit a) lim x 1 ln( x 2 ) x - 1 , b) lim x 6 5 x +9 8 x +1 , c) lim t 0+ parenleftBig 1 + 3 5 t parenrightBig 8 t , d) lim φ 0+ (cos(3 φ )) cot(2 φ ) . 2. Use the summation formulas from p. 329 in Lutzer & Goodwill to calculate the sum. a) 15 k =1 3 , b) 6 k =1 (12 k - 7) , c) 16 k =1 (2 - 8 k - 11 k 2 ) . 3. Let y prime ( t ) = 4 t + 3. Approximate the net change in y ( t ) over the interval [1
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