- #1

Cactusguy21

- 1

- 0

View attachment 8471

Hi, I'm stuck on a homework problem in my Calculus III class.

I solved 3a really easily, but 3b is giving me a lot of trouble. I know that to find the tangent line, I first have to find the slope, which is represented by the vector:

<3cos^2(t)(-sin(t)), 3sin^2(t)(cos(t))>.

I know the formula for arc length as well, although I don't think I necessarily would need this.

The formula for the tangent line should be:

r'(t)= <cos^3(t), sin^3(t)> + s<3cos^2(t)(-sin(t)), 3sin^2(t)(cos(t))>

where s is a parameter.

But how do I set it up so that I can prove the rest of the problem?

Hi, I'm stuck on a homework problem in my Calculus III class.

I solved 3a really easily, but 3b is giving me a lot of trouble. I know that to find the tangent line, I first have to find the slope, which is represented by the vector:

<3cos^2(t)(-sin(t)), 3sin^2(t)(cos(t))>.

I know the formula for arc length as well, although I don't think I necessarily would need this.

The formula for the tangent line should be:

r'(t)= <cos^3(t), sin^3(t)> + s<3cos^2(t)(-sin(t)), 3sin^2(t)(cos(t))>

where s is a parameter.

But how do I set it up so that I can prove the rest of the problem?