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midterm1_07W

# midterm1_07W - Write your Class ID inside this box...

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Write your Class ID inside this box. MATHEMATICS 101, Section 202 Midterm #1, February 6, 2008 Calculators are not allowed. Show all your work. Use backs of pages if necessary. Unless otherwise indicated, simplification of answers is not necessary. Check to ensure that this exam has 5 pages. This exam is out of 40 marks. Last Name: First Name: UBC Stud. No.: 1. (12 marks) a) (4 marks) Evaluate 2 1 4 x 3 + 1 x 4 + x dx b) (4 marks) Evaluate (tan 1 x ) 2 1 + x 2 dx Question 1 continued on page 2 ...

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Mathematics 101 Midterm, page 2 of 5 Name: 1. (continued) c) (4 marks) Find the average value of xe x 2 on the interval [0 , 2]. 2. (4 marks) Evaluate the limit lim n →∞ n i =1 i 5 n 6 by first recognizing the sum as a Riemann sum for a function on the interval [0 , 1] and then computing the corresponding definite integral using the Fundamental Theorem of Calculus.
Mathematics 101 Midterm, page 3 of 5 Name: 3. (10 marks) Let R be the region between y = sin 2 x and the x -axis, for 0 x π/ 2.

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midterm1_07W - Write your Class ID inside this box...

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