Which of the following is (are) true of
(I) f increasing on (1, ?)(II) (1, 1) is a relative extreme point(III) (1, 1) is an inflection point(IV) f is concave up on (-?, 1)
A. I, II, and IV
B. I and III
C. II, III, and IV
D. I, II, and III
E. all of these
Answer: B
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Solve the problem.Two ladders of length a lean against opposite walls of an alley with their feet touching. One ladder extends h feet up the wall and makes a 75° angle with the ground. The other ladder extends k feet up the opposite wall and makes a 45° angle with the ground. Find the width of the alley in terms of h. Assume that the ground is horizontal and perpendicular to both walls.
A. h
B. h
C. h
D. h
Find all possible functions with the given derivative.y' = 3t -
A. t2 - 5 + C
B. 3t2 - + C
C. t2 - 10
+ C
D. 3t2 - 10 + C
Find the product using the FOIL method.(x2 + 8)(x2 + 6)
A. x4 - 14x2 - 48 B. x4 + 48x2 + 48 C. x4 + 14x2 + 48 D. x4 + 14x2 + 96
Solve the equation. = 6 - x
A. {4}
B. {5, -5}
C. {, -
}
D. {-9, -4}