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EVALUATION

EVALUATION 1

What is the maximum or minimum point for the curve y = 4x − x4 ?

EVALUATION 2

What is the maximum or minimum point for the curve y = -3x2 − 12x + 5 ?

EVALUATION 3

A rectangle has length x m and its perimeter is 20 m
What is the maximum area of such a rectangle?

EVALUATION 4

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The diagram shows a square prism with cross-section x units by x units, and length (9 − 2x) units.
What is the maximum volume of the prism?

EVALUATION 5

What is the local minimum value of the function f(x) = x3(x + 4