Math_103_April_2009

# Math_103_April_2009 - April 2009 Marks[24 1 Mathematics 103...

This preview shows pages 1–3. Sign up to view the full content.

April 2009 Mathematics 103 Name Page 2 of 10 pages Marks [24] 1. Multiple Choice Questions: Select ONE correct answer (a, b, c, d, or e) for each question and write it in the table on the next page. You will not be graded for any work or answers outside those boxes. (Q1) Which of these integrals does the sum N X k =1 ± 3 N ² " ± - 2 + 3 k N ² 3 - 1 # approximate as N → ∞ ? (a) Z 3 0 x 3 dx (b) Z 1 - 2 ( x 3 - 1) dx (c) Z 3 0 ( x 3 - 2) dx (d) Z 1 - 2 x 3 dx (e) Z 1 0 ( x - 2) 3 dx (Q2) You are out Fshing. Every time you cast your line, the probability that you catch a Fsh is 1 / 4. What is the probability that you catch at least one Fsh within the Frst 2 attempts? (a) 1 / 16 (b) 7 / 16 (c) 1 / 2 (d) 9 / 16 (e) 15 / 16 (Q3) ±or which of these di²erential equations is y = 3 a steady state solution? (a) dy dt = 2 y - 6 (b) dy dt = y 2 + 9 (c) dy dt = 1 3 - y (d) dy dt = cos( πy ) (e) dy dt = 3 (Q4) A Math 103 class of 100 students took a test. The following graph shows how many students’ marks were in each of the intervals 1–10, 11–20, . . . , 91–100. 0 5 10 15 20 25 students 20 40 60 80 100 marks What was (approximately) the median? (a) 50 (b) 60 (c) 70 (d) 80 (e) 90 (Q5) A charged molecule moves in a changing electric Feld which results in an acceleration of a ( t ) = cos( t ) (in appropriate units). At time t = 0, the molecule is at rest at position x (0) = 1. What is the position x ( t ) when the molecule’s velocity reaches the value - 1 for the Frst time after time 0? (a) - 1 (b) 0 (c) 1 (d) 2 (e) The velocity never reaches - 1 Continued on page 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
April 2009 Mathematics 103 Name Page 3 of 10 pages (Q6) Each mouse born with a certain genetic mutation has probability 0.7 of contracting a certain disease. Out of 10 mice born with the mutation, the probability that exactly 8 will contract the disease is (a) 45( . 7) 8 ( . 3)
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/23/2011 for the course MATH 100,200,30 taught by Professor Dr.alejandrocortas during the Winter '10 term at UBC.

### Page1 / 10

Math_103_April_2009 - April 2009 Marks[24 1 Mathematics 103...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online