# Find the interval that satisfies the quadratic inequality:...

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MAT 126: Calculus B — Recitation Exercise Sheet #1, Fall 2009 1. Find the interval that satisfies the quadratic inequality: 2 x 2 - 7 x + 3 < 0 . 2. Find and graph the solution to the absolute value inequality: | 3 x - 5 | 6 7 . 3. Consider two points A = (1 , 3) and B = (5 , 6) . Find the equation of the line that contains both of these points in (a) slope-intercept form and (b) point-slope form. 4. (a) Find the equation of the circle with center O = (1 , 4) and radius r = 4 in standard form. (b) Sketch the graph of the region y = 16 - x 2 . What is the resulting shape? 5. (a) Find the equation of the line that is parallel to the line x - 2 y - 1 = 0 and contains the point ( - 3 2 , 3 2 ) . (b) Find the equation of the line that is perpendicular to the line 1 2 x - 1 2 y - 1 2 = 0 and contains the point (1 , - 1) . 6. (a) Convert to radians the degree measure: 120 . (b) Convert to degrees the radian measure: 5 π 3 . (c) Sketch the angle θ = π 6 in standard position. (d) Find an angle coterminal to the angle