Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

Using the first derivative test, it is found that the graph is increasing on the interval .

The function is given by:

It's derivative is:

Then, we test the signal of the derivative, which is the first derivative test.

The graph sketched at the end of this answer corroborates the answer found using the first derivative test.

A similar problem is given at link

Step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

i think it would be 42cm