practice 2 answers

Solve the quadratic equation and b 6 4 determine c on

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Unformatted text preview: − 10 = b2 + 3b − 4 ⇒ b2 − 7b + 6 = 0. Solve the quadratic equation and b = 6. 4. Determine c on [1, 4] so that f (c) is the average value of the function f (x) = 3x2 + 2x + 1 on [1, 4]. (Mean Value of the Integral) answer: first determine average value: 4 14 1 Av= (3x2 + 2x + 1) dx = (x3 + x2 + x) = 27 31 3 1 Then 3c2 + 2c + 1 = 27 ⇒ 3c2 + 2c − 26 = 0 Solve the quadratic equation. 5. Show the evaluation of the integral. Determine the value of the improper integral if it converges. If it diverges, show it. ∞ (a) 0 1 2 2 xe−2x dx = − e−2x 4...
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