The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate
1 answer:
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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.
Question 1:
Look at the image.
First, we graph the points on a grid.
Then, we find the perpendicular bisectors and find where they intersect.
They intersect on the circumcenter of the triangle.
The circumcenter is (5,3)
Question 2:
The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.
Question 3:
The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.
Have an awesome day! :)
Look at the image.
First, we graph the points on a grid.
Then, we find the perpendicular bisectors and find where they intersect.
They intersect on the circumcenter of the triangle.
The circumcenter is (5,3)
Question 2:
The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.
Question 3:
The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.
Have an awesome day! :)