a pt Write 1 - x + x2 - x3 + + x2n using...

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MATH124 CALCULUS I1 for Engineers Lab Section: 1 1 Quiz 1 (12 pts) January 16, 2008 Please print names and IDS in ink: NSlD: Family Name: I First Name: I Student ID: INSTRUCTIONS: 1. Time Limit: 30 minutes 3. Closed book. Closed notes. No calculators. 2. No cheating. 4. Write clearly & legibly. 1. (a pt) Write 1 - x + x2 - x3 + . . . + x2n using sigma notation. 2. (4 pts) Consider the region A below y = x2 + 1 , above y = 0 and between x (a) (2 pts) Find an equation for Sn and clearly explain your answer. Do not sin~plify the equation. (b) (2 pts) Given that the equation from (a) can be simplified to S, = (6(n + 1C2n + 1) find the area A. = 0 and x = 6. + n) : ,
n 4. (2 pts) Find the closed form value for x ( 2 i - i=l 5. (2 pts) Evaluate the upper Riemann sum of f (z) = ex on [-2,2] with 4 equal subintervals. 6 . (2 pts) Evaluate the lower Riemann sum of f (z) = cos z on [0, K ] with 4 equal subintervals. 1). Quiz Score:
MATH124 CALCULUS I1 for Engineers Lab Section: I Quiz 2 (12 pts) January 23, 2008 Please print names and IDS in ink: NSID: Family Name: I First Name: I Student ID: INSTRUCTIONS: 1. Time Limit: 30 minutes 3. Closed book. Closed notes. No calculators. 2. No cheating. 4. Write clearly & legibly. 1. (1 pt) State the Mean Value Theorem for integrals. 0- 2. (1 pt) Given that f (t)dt = 24, find the average value of f (t) over [I, 51. 3. (4 pts) Evaluate the following integrals using the properties of the definite integral and interpreting integrals as areas. Do not use anti-differentiation. (b) (2 pts) l2 J G d z
4. (2 pts) Write the area of the region bounded by y = x2 - 3s + 3 and y = 1 as a definite integral. Do not evaluate. 5. (4 pts) Evaluate the following integrals. (a) (2 P ~ S ) [ ;dx cos xdx - - in? z - sin (-yLOjl) Quiz Score: r I
Please print names and IDs in ink : NSID: Family Name: KEY | First Name: | Student ID: INSTRUCTIONS 5. Simplify all answers unless otherwise instructed . 1. Time Limit: 30 minutes 6. Fill in the indicated blanks or boxes with your final answers or as instructed. 2. Closed book. Closed notes. 7. Except for 1-pt items, you must show your work ; insufficient work shown may not 3. No copying. No calculators . be credited. 4. Write clearly and legibly. 8. All 1-items will be marked right or wrong. MATH 124 CALCULUS II for Engineers Quiz 3 (12 pts) January 30, 2008 Section: 1. Evaluate the following indefinite integrals: (a) (2 pts) dx x x ³ ± 4 9 (b) (2 pts) dx e e x x ³ ± ² 1 1 2 2 ),
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