Calculus Week 5 10 problems

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cncnwbfu2001

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Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval. When no interval is specified, use the real line (-∞, ∞). 1. f(x) = 4x2 - 5x3; [0, 5] A) Absolute maximum: , absolute minimum: 0 B) Absolute maximum: , absolute minimum: -525 C) No absolute maximum, absolute minimum: -525 D) Absolute maximum: , absolute minimum: 0 2. f(x) = -21; [-7, 7] A) Absolute maximum: 21, absolute minimum: 0 B) Absolute maximum: -21, absolute minimum: -21 C) There are no absolute extrema. D) Absolute maximum: 21, absolute minimum: -21 3. f(x) = x3 - 4x2 - 16x + 1; [-9, 0] A) There are no absolute extrema. B) Absolute maximum: , absolute minimum: 550 C) Absolute maximum: -908 , absolute minimum: D) Absolute maximum: , absolute minimum: -908 4. f(x) = x4 - 5x3; [-5, 5] A) Absolute maximum: 1250, absolute minimum: B) Absolute maximum: 625, absolute minimum: C) Absolute maximum: 0, absolute minimum: 5. D) Absolute maximum: 1250, absolute minimum: 0 A) B) Absolute maximum: 5.33, absolute minimum: -5.33 C) Absolute maximum: , absolute minimum: -5.33 D) Absolute maximum: 5.33, absolute minimum: 6. f(x) = x2 - 12x + 41; [ 2, 8] A) Absolute maximum: 9, absolute minimum: 5 B) Absolute maximum: 21, absolute minimum: 5 C) Absolute maximum: 5 D) Absolute maximum: 21, absolute minimum: 9 7. f(x) = -3 - 7x; [-3, 1] A) Absolute maximum: -10, absolute minimum: -24 B) Absolute maximum: 18, absolute minimum: -10 C) Absolute maximum: 24, absolute minimum: -4 D) There are no absolute extrema 8. A) Absolute maximum: 8, absolute minimum: - 17 B) Absolute maximum: -8, absolute minimum: -15 C) Absolute maximum: -8, absolute minimum: - 9. D) Absolute maximum: - , absolute minimum: - 17 A) Absolute maximum: 6, absolute minimum: 2 B) Absolute maximum: 2, absolute minimum: C) Absolute maximum: 6, absolute minimum D) Absolute maximum: 10. f(x) = 6x + 2; [-1, 2] , absolute minimum - A) Absolute maximum: 12, absolute minimum: -6 B) Absolute maximum: 14, absolute minimum: -4 C) Absolute maximum: -1, absolute minimum: 2 D) There are no absolute extrema.
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