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problem_14 - c = 0 4 c =-1 5 c =-1 2 003 10.0 points How...

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shin (ys5232) – Homework 14 (Section 4.2) – miner – (55096) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine if Rolle’s Theorem can be ap- plied to f ( x ) = x 2 + 3 x - 18 x + 9 on the interval [ - 6 , 3], and if it can, find all numbers c satisfying the conclusion of that theorem. 1. Rolle’s Theorem not applicable 2. c = - 3 2 3. c = - 3 4. c = - 3 , - 3 2 5. c = - 1 6. c = - 3 , - 15 002 10.0 points Determine if the function f ( x ) = 1 + x - x 3 satisfies the hypotheses of the Mean Value Theorem (MVT) on the interval [ - 2 , 1]. If it does, find all possible values of c satis- fying the conclusion of the MVT. 1. c = 1 2 2. hypotheses not satisfied
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Unformatted text preview: c = 0 4. c =-1 5. c =-1 2 003 10.0 points How many real roots does the equation x 5 + 2 x + 5 = 0 have? 1. exactly Four real roots 2. exactly three real roots 3. no real roots 4. exactly two real roots 5. exactly one real root 004 10.0 points Sarah is driving her car very smoothly From Austin to Dallas one day. At 4:00 pm she is travelling at 20 mph, while 10 minutes later she is travelling at 45 mph. Calculus tells us that at some time between 4:00 pm and and 4:10 pm her acceleration is exactly x mph/h. Determine x . 1. x = 142 mph/h 2. x = 144 mph/h 3. x = 146 mph/h 4. x = 150 mph/h 5. x = 148 mph/h...
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