MATH 2030 Midterm: MATH 2030 University of Manitoba 2030Summer17Mid

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This exam has 9 pages plus two blank pages for your use. Following instructions (or not), neatness and mathematical form may all a ect your grade. If you continue your work outside the space allotted, clearly indicate where to nd the remainder of your work. Cite results from this course by name or by stating brie y what those results assert. Large, complicated numbers such as 100! may be left as the most simple formula that is easy to reach by hand. To show that you read these instructions, and for two bonus marks, put a star beside your name above. Answer (t or f) in the left margin. [20] (for us) or nonsense are considered false. (a) p (10, 9) = 10! Solution: t (b) the coe cient of x2y2z2 in the expansion of (x + 2y + 3z)6 is 122232.