Richard_Exam_1_Winter_2007

# Richard_Exam_1_Winter_2007 - M ATH-203 E XAM 1 P LEASE S...

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MATH-203 EXAM 1 PLEASE SHOW ALL WORK 1" Name and graph the polar curves. Label all axis intercepts (in polar coordinates). a. r: -2sin(0) b. r:2 + 2cos(0) 2. Find a set of polar coordinates for the point with rectangular coordinates (-3, 3 \5 ) 3. Find and graph an equation in x and y (only) that is equivalent to the parametric equations. a. x:2+sirr(t), y:cos(t),0<t<+ b. x: t2,y: t6+1,-l<t<l z 4. Find a unit vector in the same direction of the vector 6 : <*l --3.2>" 5. Are the vectors i : <3, -2, l> and b : 11 ,2,1> perpendicular? Exnlain. 6. Find pararnetric and symmetric equations for the line passing through the point P(3, l, -3) that is perpendicular to the plane 2x * 4y + 5z: 6. L Findthe equation of the plane containing the points P(1, 3, 4), Q(2, 0, 5), and R(3, 1, 4).

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