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PRINTABLE VERSION Quiz 11 You scored 80 out of 100 Question 1 Your answer is CORRECT. The function f is graphed below on the interval [0,10].Give the number of valuesc between 0 and 10 which satisfy the conclusion of the mean value theorem for f. a) 5 b) 1 c) 4 d) 3 e) 2 Question 2 Your answer is CORRECT. Determine if Rolles Theorem applies to the function f(x)=x3−x on [0,1]. If so, find all numbers c on the interval that satisfy the theorem. a) c=1 b) c=−3–√3 c) c=−3–√3 and c=3–√3 d) Rolles Theorem does not apply to this function on the given interval. e) c=3–√3 Question 3 Your answer is CORRECT. Determine if the function f(x)=2x−−√−x satisfies the Mean Value Theorem on [1, 9]. If so, find all numbers c on the interval that satisfy the theorem. a) The Mean Value Theorem does not apply to this function on the given interval. b) c=−4 c) c=4 d) c=8 e) c=2 Question 4 Your answer is CORRECT. The graph of f(x) is shown. Find the x-value(s) where f ′(x)=0. a) x=−5 b) x={−5,5} c) x=5 d) x=0 e) x={−5,0,5} Question 5 Your answer is CORRECT. Find the intervals on which f(x)=x3−12x+7 decreases. a) (−∞,−2)∪(2,∞) b) (2,∞) c) (−∞,∞) d) (−∞,−2)∪(0,2) e) (−2,2) Question 6 Your answer is CORRECT. Find the intervals on which f(x)=5xx2+36 decreases. a) (−6,6) b) (−∞,−6)∪(0,6) c) (−∞,−6)∪(6,∞) d) (−∞,∞) e) (6,∞) Question 7 Your answer is CORRECT. Find the intervals on which f(x)=25x2+1625x2−16 decreases. a) (0,45)∪(45,∞) b) (−∞,−45)∪(45,∞) c) (−∞,∞) d) ((−∞,−45)∪(45,∞) e) (−∞,−45)∪(−45,0) Question 8 Your answer is CORRECT. Find the intervals on which f(x)=4x2(8+x)2 increases. a) (−∞,−8)∪(−4,0) b) (−8,−4)∪(0,∞) c) (4,∞) d) (−∞,−8)∪(4,∞) e) (−∞,∞) Question 9 Your answer is INCORRECT. Find the intervals on which f(x)=2x−2cos(x) increases for 0≤x≤2π. a) [0,3π2] b) [0,2π] c) f(x) is never increasing on the given interval. d) [3π2,2π] e) [π2,2π] Question 10 Your answer is INCORRECT. Find the intervals on which f(x)=2cos2(x) decreases for 0≤x≤π. a) f(x) is never decreases on the given interval. b) [0,π] c) [π4,3π4] d) [0,π2] e) [π2,π]