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choose the correct answer. (1) At a minimum point (a) y\' is positive and y\" eq

ID: 1112377 • Letter: C

Question

choose the correct answer.

(1) At a minimum point (a) y' is positive and y" equal to to 0 (b) y' is negative and y" equal to to 0 (c) y'equal to zero and y" is positive (d) y' equal to zero and y" is negative?

(2) Which of the following is not a characteristic of a maximum? (a) The first derivitive is zero (b) The second derivitive is negative (c) the slope is increasing (d) it must be a turning point. ?

(3) Suppose y=f(x), where y is the quantity of cheese, x is Quantity of milk, f() is a production function. If there is diminishing returns (a) f"(x)>0 and the production function is concave upward (b) f"(x)>0 and the production function is concave downward (c) f"(x)<0 and the production function is concave upward (d)f"(x)<0 and the production function is concave downward. ?

Explanation / Answer

1) (c) y'equal to zero and y" is positive. In case of maximum point, y' equal to zero and y" is negative.

2)  (c) the slope is increasing .

3) (d)f"(x)<0 and the production function is concave downward.