Tutorial 11 Answers - Tutorial 11(Answers Introduction to...

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Tutorial 11 (Answers) – Introduction to Calculus and Linear Algebra Page 1 of 1 Tutorial 11 – Answers Introduction to Calculus and Linear Algebra 1. Increasing for x < –3 and x > 3; decreasing for –3 < x < 3; concave upward for x > 0; concave downward for x < 0; max. at (–3, 20); min. at (3, –16); inflection at (0, 2). 2. Increasing for x > 3; decreasing for x < 3; concave upward for x < 0 and x > 2; concave downward for 0 < x < 2; min. at (3, –17); inflection at (0, 10) and (2, –6). 3. Increasing for all x ; concave upward for x > 2; concave downward for x < 2; inflection at (2, 0). 4. Increasing for x > 0; decreasing for x < 0; concave upward for x < – 5 , –1 < x < 1, x > 5 ; concave downward for – 5 < x < –1 and 1 < x < 5 ; min at (0, 125); inflection at (– 5 , 0), ( 5 , 0) , (–1, –64), and (1, –64). 5. Increasing for x > –1; decreasing for x < –1; concave upward for x < –4 and x > –2; concave downward for –4 < x < –2; min at (–1, –54); inflection at (–4, 0) and (–2, –32). 6. Increasing for x > 0; decreasing for x < 0; concave upward for all real
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