MAC 2313 Midterm: MAC 2313 FIU Exam 110k

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15 Feb 2019
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Prof. s. hudson: [10 pts] find the distance from the point p (1, 1) r2 to the line y = 2x + 1. Hint: compute a normal vector and a scalar projection: [10 pts] show that these lines intersect and nd the point of intersection. Note: the values of t in l1 and l2 do not have to match. Hints: we did a similar problem in class. One idea is to multiply both sides by rst, and then use conversion formulas, such as y = sin sin , though the formula for z might be more useful here. = 4 cos( : [10 pts] find an equation for the trace of 4x2 + y2 + z2 = 9 in the plane y = 2. State what kind of conic section the trace is [is it a parabola? etc]: [20 pts] answer true or false.

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