Mathematics
Calculus Week 4 10 problems

Question Description

I’m studying and need help with a Mathematics question to help me learn.

Calculus W4.docx 


Sorry for posting two in the same week let me know if you can do both by tuesday. I had computer issues so I couldn't post sooner. 

Thanks Josh

Unformatted Attachment Preview

1. f(x) = x3 - 3x2 + 1 A) Relative maximum at (2, -3) B) Relative maximum at (-2, -19); relative maximum at (0, 1) C) Relative maximum at (0, 1); relative minimum at (2, -3) D) Relative minimum at (0, 1); relative maximum at (2, -3) 2. y = x3 - 3x2 + 4x - 4 A) Relative maximum at (2, 0) B) Relative maximum at (-1, 0) C) No relative extrema exist 3. D) Relative minimum at (1, 0) f(x) = 2x2 - 16x + 27 A) Relative minimum at ( -5, 4) B) Relative minimum at ( 5, -4) C) Relative minimum at ( 4, -5) D) Relative maximum at ( -4, 5) 4. f(x) = 0.2x2 - 2.4x + 5.9 A) Relative minimum at ( 6, 0) B) Relative maximum at ( 6, -1.3) C) Relative minimum at ( 6, -1.3) D) Relative minimum at ( -6, 27.5) 5. f(x) = x2 - 4x + 7 A) Relative maximum at (2, 3) B) Relative maximum at (3, 2) C) Relative minimum at (2, 3) 6. D) Relative minimum at (3, 2) f(x) = x3 - 12x + 4 A) Relative maximum at (5, 69); relative minimum at (2, -12) B) Relative maximum at (5, 69); relative minimum at (-3, 13) C) Relative maximum at (-2, 20); relative minimum at (2, -12) 7. D) Relative minimum at (-2, 20); relative maximum at (2, -12) f(x) = -6x2 - 2x - 7 A) Relative maximum at B) Relative maximum at C) Relative minimum at D) Relative maximum at 8. s(x) = -x2 - 20x - 19 A) Relative maximum at ( -10, 81) B) Relative maximum at ( 10, 81) C) Relative minimum at ( 20, -19) D) Relative maximum at ( -20, -19) 9. f(x) = -6x3 + 4 A) Relative maximum at (0, -6) B) Relative maximum at (0, 4) C) No relative extrema exist 10. D) Relative minimum at (0, 4) f(x) = 3x4 + 16x3 + 24x2 + 32 A) Relative maximum at (-2, 48), relative minimum at (0, 32) B) Relative minimum at (-2, 48), relative maximum at (0, 32) C) Relative minimum at (0, 32) D) Relative minimum at (-2, 48) ...
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University of Maryland

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