MATH 215 Midterm: exam1w11sol
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On problems 3, 4 and 5 you can get partial credit. If you think a statement doesn"t make sense, circle. X z x2 x3 y t dt = y x if x > 0. True / false (c) the formula ~n (~r ~r0) =< 0, 0, 0 > determines a plane. Answer: false (d) the expression ~r(t) =< sin(et), cos(et) >, t [0, ln(1 + 2 )] parametrizes a circle. True / (e) the cross product of ~a and ~b equals the area of the parallelogram determined by ~a and ~b. Answer: false (f) the gradient of a function is perpendicular to the level sets of the function. Consider the points a(0, 2, 1), b(1, 1, 2), c(2, 3, 1). (a) find ~ab and ~ac. Note: check this calculation because if you make a. This part does not use the points a,b,c.
