9. Ziggy sold Girl scout cookies as a fundraiser. She sold 35 boxes
of thin mints and 28 boxes of Samoas. What is the ratio of the
number of boxes of Thin Mints sold to the total number of boxes
sold?
a. 28 to 63
b. 35 to 63
C. 28 to 35
d. 63 to 35

the answer is b

Step-by-step explanation:

35+28=63

(a) Increasing in the interval (-623, 2) and (623, ∞)

f is decreasing in the interval (∞, -623) and (2, - 623).

(b) Local maximum is f = 2 .

2 local minima  f = -623.

Step-by-step explanation:

f(x) = x^4 - 50x^2 + 2

Finding the derivative:

f'(x) = 4x^3 - 100x

This = 0 at  a turning point:

4x(x^2 - 25) = 0

x = 0,  x + -5, 5.

Find the second derivative:

f"(x) = 12x^2 - 100

When x = 0 f(x) = 2

When x = 0, f"(x) is negative so the point (0, 2) is a maximum .

When x = -5, f"(x) is  positive . Also positive when x = 5.

So the 2 local minimums are (-5, (-5)^4 - 50(-5)^2 + 2) = (-5, -623) and

(5, -623).