MTH 141 Midterm: MTH141 – F2016 Midterm1 (Solution)
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1. (multiple choice question) the quotient: 9, 4 5i, 5 + 4i is equal to. 1 i: 1 3i, none of these. 6: k = 0 b) k = . 6: k = , k = . 2 is orthogonal to the vector: y = Write the (capital) letter of the answer in this box. Only the answer in the box will be marked. Use polar form to calculate the following roots, then express those roots in standard form: ( 2 2 3i)1/4. Solution: 2 2 3i = 4e(4 /3)i so ( 2 2 3i)1/4 = (4e(4 /3+2 k)i)1/4. Consider the following subset of r3. x1 x2 x3. Since y2 = 4y3 sin(x1 + y1) = sin x1 cos y1 + sin y1 cos x1. = 0 cos y1 + sin y1 cos x1. = 0 cos y1 + 0 cos x1. Solution: s is not closed under scalar multiplication.
