2. If F(x) is an invertible function, then for any point (a,b) on F(x):

3. The volume equation is an invertible function because its inverse is a function.

4. This is my thought process:

5.

Black is the original volume function, red is the inverse of that, blue is the derivative of the original function at x = 1, and green is the derivative of the inverse at point y = 1

The functions I used were as follows:

Y = (4/3)*pi*x^3

Y^-1 = ((3x)/(4*pi))^(1/3)

Y' = 4*pi*(x-1)+((4/3)*pi)

Y'^-1 = ((1/(4*pi))(x-((4/3)*pi)))+1

6. 1/(4*pi) = the inverse of 4*pi

7. I came to class on Wednesday because I would not have learned the same amount on my own. I needed the review that we did in class and I learn better with interaction. I also probably don't have the initiative to do the work on my own, so it is good that I came to class because otherwise I might not have studied thoroughly.

5.

Black is the original volume function, red is the inverse of that, blue is the derivative of the original function at x = 1, and green is the derivative of the inverse at point y = 1

The functions I used were as follows:

Y = (4/3)*pi*x^3

Y^-1 = ((3x)/(4*pi))^(1/3)

Y' = 4*pi*(x-1)+((4/3)*pi)

Y'^-1 = ((1/(4*pi))(x-((4/3)*pi)))+1

6. 1/(4*pi) = the inverse of 4*pi

7. I came to class on Wednesday because I would not have learned the same amount on my own. I needed the review that we did in class and I learn better with interaction. I also probably don't have the initiative to do the work on my own, so it is good that I came to class because otherwise I might not have studied thoroughly.

## No comments:

## Post a Comment