remember that percentages are based on one-hundredths. the value 100% one-hundredths or 100/100. the value of 50% equals 50/100
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ANSWER
3) b
EXPLANATION
Given that:
and
Recall that the sine and cosine functions are equal for complementary angles.
This implies that,
Solution :
It is given that Little Snail is going to visit one of his friend at the pond which is 3 miles away.
When the snail crawls 1/2 of a mile per day, it will take him,
= 6 days to get to the next pond.
When the snail crawls 1/3 of a mile per day, it will take him,
= 9 days to get to the next pond.
When the snail crawls 1/4 of a mile per day, it will take him,
= 12 days to get to the next pond.
When the snail crawls 3/4 of a mile per day, it will take him,
= 4 days to get to the next pond.
When the snail crawls 2/3 of a mile per day, it will take him,
= 4.5 days to get to the next pond.
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is 
. Set the derivative equal to 0 and factor to find the critical numbers. 
, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.