What are the coordinates of the point where the two lines intersect
1 answer:
You might be interested in
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
__
(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
The percent increase in population is: 87%
Further explanation:
The percent change is given by:
Given
Population before 10 years = 25800 people
Population after 10 years= 48200 people
Putting the values in the formula:
The percent increase in population is: 87%
Keywords: Percentage, Population
Learn more about percentage at:
#LearnwithBrainly