MATH 105 Midterm: MATH 105 2010 Winter Test 2

• School: UBC
• Department: Mathematics
• Course: MATH 105
• Professor: All

Document Summary

Special instructions: a separate formula sheet will be provided. No books, notes, or calculators are allowed: show all your work. A correct answer without accompanying work will get no credit: if you need more space than the space provided, use the back of the previous page. Where boxes are provided for answers, put your nal answers in them. Page 2 of 17 pages: (a) determine the following inde nite integral: Page 3 of 17 pages (b) find the value of the following de nite integral: cos3 x sin2 x dx. Page 5 of 17 pages: is there any value of k for which the function f below is a probability density function? f (x) =( If yes, nd all such values of k. if there is no such k, explain why. (15 points) Page 6 of 17 pages: the unit price of a certain commodity can uctuate anywhere between and . 50.