An equation of the line tangent to y=x3+3x2+2 at its point of inflection is
2 answers:
Answer:
Explanation:
Given
Required
Determine the equation at the point of inflection
The point of inflection of a curve is the point where the second derivative is 0.
So:
First derivative is:
Second derivative:
Equate to 0
Solve for x
Next, we calculate the slope (m) of the point using the first derivative.
Substitute -1 for x in
To get the y equivalent;
Substitute in
Lastly, we calculate the line equation using:
Where
and
So, we have:
Make y the subject
<em>Hence, the equation is: </em><em></em>
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Answer:
The answer is below
Explanation:
1) Equator: The equator is an imaginary line that divides the earth into two equal parts known as the northern hemisphere and southern hemisphere. The equator is a line of latitude.
Line A is the equator
2) Latitude: Latitude are imaginary lines on earth that run from the east to west.
Line B are lines of latitude
3) Longitude: Longitude are imaginary lines on earth that run from the north to south.
Line F is a line of longitude
4) Prime Meridian: The prime meridian is a 0° line of longitude. It serves as a reference for other lines of longitude measurement.
Line E is a prime meridian.
5) South pole: The south pole is at a latitude of 90°S and all the lines of longitude meet there.
Point D is the south pole
6) North pole: The north pole is at a latitude of 90°N and all the lines of longitude meet there.
Point C is the south pole
