Answer:
The distance of the rivers on the map is of 1.23 inches.
Step-by-step explanation:
We use proportions to solve this question, by a rule of three.
We have that:
If the actual distance is of 1000 miles, the distance on the map is of 12.3 inches. If the actual distance is 100 miles, what will be the distance on the map?
1000 miles - 12.3 inches
100 miles - x
Applying cross multiplication
The distance of the rivers on the map is of 1.23 inches.
Answer:
a.) f'(x) = 2x - 2
b.) horizontal tangent line at (1, 0)
c.) view image
d.) the point given, (-1, -1/2), isn't even located on the graph of f(x). Either there is a typo or the question is poorly stated.
Step-by-step explanation:
a.) You should know how to do derivative already
b.) Horizontal tangent line just mean that the slope is zero. Since a derivative is a slope, just find when the derivative is equal to 0.
c.) The function f(x) looks like a U. The only spot that has a zero slope is at the bottom of the U when the slope changes from negative to positive. Since my horizontal tangent line(where the slope is 0) is located at point (1,0), that must be where the bottom of the graph is,
d.) Poorly stated question. The point given isn't even located on the graph.
