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PRINTABLE VERSION Quiz 11 You scored 100 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) 4 b) 3 c) 1 d) 2 e) 5 Question 2 Your answer is CORRECT. Determine if Rolles Theorem applies to the function f(x)=3cos(x) on [0,π]. If so, find all numbers c on the interval that satisfy the theorem. a) c=π and 2π b) c=π8 and 3π8 c) c=π2 and 3π2 d) Rolles Theorem does not apply to this function on the given interval. e) c=π8,3π8,5π8 and 7π8 Question 3 Your answer is CORRECT. Determine if the function f(x)=3x−−√−2x satisfies the Mean Value Theorem on [4, 49]. If so, find all numbers c on the interval that satisfy the theorem. a) c=812 b) The Mean Value Theorem does not apply to this function on the given interval. c) c=818 d) c=814 e) c=−814 Question 4 Your answer is CORRECT. Find the x-value(s) where f′(x)=0 given f (x)=−13x3+4x+2. a) x=0 b) x={−2,2} c) x=−2 d) x=2 e) x={−2,0,2} Question 5 Your answer is CORRECT. Find the intervals on which f(x)=6x4+2x3 increases. a) (−14,0)∪(0,∞) b) (−∞,−14) c) (0,∞) d) (−∞,−14)∪(0,14) e) (−∞,∞) Question 6 Your answer is CORRECT. Find the intervals on which f(x)=4xx2+16 decreases. a) (−∞,−4)∪(4,∞) b) (−4,4) c) (−∞,∞) d) (4,∞) e) (−∞,−4)∪(0,4) Question 7 Your answer is CORRECT. Find the intervals on which f(x)=4x2+94x2−9 decreases. a) (−∞,−32)∪(−32,0) b) ((−∞,−32)∪(32,∞) c) (−∞,−32)∪(32,∞) d) (−∞,∞) e) (0,32)∪(32,∞) Question 8 Your answer is CORRECT. Find the intervals on which f(x)=2x2(14+x)2 decreases. a) (7,∞) b) (−14,−7)∪(0,∞) c) (−∞,∞) d) (−∞,−14)∪(−7,0) e) (−∞,−14)∪(7,∞) Question 9 Your answer is CORRECT. Find the intervals on which f(x)=8x+8cos(x) increases for 0≤x≤2π. a) [0,3π2] b) [0,2π] c) [3π2,2π] d) [π2,2π] e) f(x) is never increasing on the given interval. Question 10 Your answer is CORRECT. Find the intervals on which f(x)=9cos4(x) decreases for 0≤x≤π. a) f(x) is never decreases on the given interval. b) [π4,3π4] c) [π2,π] d) [0,π] e) [0,π2]