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Midterm Test 1

Midterm Test 1

Q Problem 16. 6 pts 2.Problem 2. 6 pts 3.Complete the square and write the equation in standard form. Then give the center and radius of the circle. x2 + y2 + 18x - 8y = 72 Complete the square: (x2 + 18x) + (y2 - 8y) = 72 (x2 + 18x + 81) + (y2 - 8y + 16) = 72 + 81 + 16 (x + 9)2 + (y – 4)2 = 132 3.Problem 3. 28 pts (3 pts each problem, except #2 with 4 pts) Let f(x) = 4x2 + 2x + 7 and g(x) = 2x – 3 Find the following: 1. (g – f) (x) 4.2. (f/g) (x); find the domain 5.3. (f ? g) (x)

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1.Difference Quotient = - 4x – 2h - 1 2.Center: (-9, 4) Radius: 13 3.= 2x – 3 – (4x2 + 2x + 7) = 2x – 3 – 4x2 – 2x – 7 = – 4x2 – 10 4.= 4?2+2?+72??3 Domain: All real numbers except 3/2 2x – 3 = 0 2x = 3 x = 3/2