University of Toronto
MAT294F DECEMBER FINAL EXAM
Duration: 3 hours
No aids allowed
Instructions: There are 14 pages including the cover page. Please answer all
questions in the spaces provided (if you use the back of a sheet please clearly specify
that).
MAT 294 Midterm
Instructions: Please ll out the front pages of the accompanying exam booklets. All work must be
written in these books. Please make sure to clearly indicate problem numbers such as "2c" in your booklets.
Questions are only loosely thematic
MAT 294, Quiz 2
NAME: STUDENT ID NUMBER :
1) Consider the solid bounded by the surface y = x2 and the planes y + z = 4 and z = 0. Use a triple
integral to compute the volume of this solid.
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MAT 294, Quiz (33.
NAME: STUDENT ID NUMBER :
1) Consider the surface described by F(a:, y, z) = 2 ~ 536’” = 0.
3) Find a normal vector to the surface at the point (1,0,1).
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