MATH 2X03 Midterm: Math 2X03 Exam 2018

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9 Jan 2019
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This examination paper contains 6 questions (with parts) on a total of 12 pages. You are responsible for ensuring that your copy of the exam paper is complete. Please bring any discrepancies to the attention of your invigilator. Instructions: answer all questions in the spaces provided, and make sure that you justify clearly all steps in your solutions, the only calculator that is permitted in this examination is the casio fx 991ms or. [6 marks] decide whether the statements in parts (a) to (c) are true or false and circle your choices. No justi cation needed. (a) [2 marks] let ~f be a vector eld of the form ~f (x, y, z) = (f (y, z), g(x, z), h(x, y)). False (b) [2 marks] let ~f be the vector eld given by ~f (x, y, z) = ( y, x, z). There exists a func- tion f such that ~f = f .