Question

12. If f(x) = x^2 - 3x + 6 then find the absolute minimum of f(x) on [-3,4]. 13. If f(x) = x^3 + 2x^2 + x + 2 then find the absolute maximum of f(x) on [-2,1]. 14. A farmer has 180 feet to enclose a rectangular field which is divided into two parts by his fence as shown below : Find the maximum area the farmer can use using his 180 feet of fencing.

          12. If f(x) = x^2 - 3x + 6 then find the absolute minimum of f(x) on [-3,4].

13. If f(x) = x^3 + 2x^2 + x + 2 then find the absolute maximum of f(x) on [-2,1].

14. A farmer has 180 feet to enclose a rectangular field which is divided into two parts by his fence as shown below : Find the maximum area the farmer can use using his 180 feet of fencing.

12. If f(x) = x^2 - 3x + 6 then find the absolute minimum of f(x) on [-3,4].

13. If f(x) = x^3 + 2x^2 + x + 2 then find the absolute maximum of f(x) on [-2,1].

14. A farmer has 180 feet to enclose a rectangular field which is divided into two parts by his fence as shown below : Find the maximum area the farmer can use using his 180 feet of fencing.

Added by Chelsea R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Urvashi Arora

12/06/2021

Step 1

Given f(x) = x^3 + 2x^2 + x + 2, we need to find the critical points by setting the derivative equal to zero. f'(x) = 3x^2 + 4x + 1 Setting f'(x) = 0, we get: 3x^2 + 4x + 1 = 0 This can be factored as: (3x + 1)(x + 1) = 0 So, x = -1 or x = -1/3 are the critical Show more…

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13. If f(x) = x^3 + 2x^2 + x + 2 then find the absolute maximum of f(x) on [-2,1]. 14. A farmer has 180 feet to enclose a rectangular field which is divided into two parts by his fence as shown below : Find the maximum area the farmer can use using his 180 feet of fencing.