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please solve 3. If f(x) = x(x +1)(x~ 2)2 , then the graph of f has inection points when x = (A) ~I only (B)

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3. If f"(x) = x(x +1)(x~ 2)2 , then the graph of f has inection points when x = (A) ~I only (B) 2 only (C) 1 and 0 only (D) 1 and 2 only (E) l , 0, and 2 only " ' . . ' 4. An equation of the line tangent to y = x3 +3x2 +2 at its point of inection is (A) y=~6x6 (B) y=3x+1 (C) y=2x+10 (D) y=3x1 (E) y=4x+1 M 5. If the graph of y = x3 +ax2 +bx4 has a point of inection at (1, 6) , what is the value of b? (A) 3 (B) o (C) 1 (D) 3 (E) It cannot be determined om the information given. 6. For what value of x does the inction f (x) = (x 2)(x 3)2 have a relative maximum? 7 5 7 5 A 3 B C w .. D _ _ ( ) 0 about f is true? (A) f is an odd function. (B) f is discontinuous at x = 0. (C)f has a relative maximum. (D) f'(0) = 0 (E) f'(x) > 0 for x at 0. . x . . . 7r 3:: . 8. If f (x) = 51%;) , then there ex1sts a number 0 1n the interval 3

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