MATH-106 Midterm: MATH 106 Bates montgomery106cExamolution

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15 Feb 2019
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You may use a calculator, but do not use books or notes. The point value of each problem is given in the left-hand margin. (6 pts) 1. Simplify; write your answer as a fraction. (cid:16)30 2 3(cid:17) 2 (6 pts) 2. Write as the logarithm of a single quantity. 2 ln(x + 1) 3 ln(x) (6 pts) 4. Find the area of a circle if the circumference is 6 inches. Recall a = r2 and c = 2 r . (6 pts) 6. Find an equation of the line passing through the two points (3, 2) and ( 1, 6) . page 2 (7 pts) 7. Ten liters of a 20% acid solution are obtained by mixing a 15% solution with a 40% solution. How many liters of each should be used: consider the parabola y = 2x2 + 6x . (6 pts) (a) using the formula h = vertex.