I have a study guide for a test that I have in a few hours.. and I don't understand these problems! Help would would be great!
A=1/2*Pi*r^2*theta
dA/dthetha=?
da/dr=?
dtheta/dr=?
much thanks for any help given.
I have a study guide for a test that I have in a few hours.. and I don't understand these problems! Help would would be great!
A=1/2*Pi*r^2*theta
dA/dthetha=?
da/dr=?
dtheta/dr=?
much thanks for any help given.
We have $\displaystyle A = 0.5 \pi r^2 \theta$
When asked to find $\displaystyle \frac{dA}{d\theta}$ for example, all you need to do is differentiate with respect to $\displaystyle \theta$.
Following that, we have:
$\displaystyle \frac{dA}{d \theta } = \frac{d}{d \theta } [0.5 \cdot\pi r^2 \cdot \theta] = 0.5 \pi r^2$
And you find $\displaystyle \frac{dA}{dr}$ by doing the same thing. To find $\displaystyle \frac{d \theta}{dr}$ though, you'll have to express $\displaystyle \theta$ as a function of r first..
hey man I just had a brain cramp, your right. I R^2 =2R I just forgot to edit the /r out.
And im taking calculus now I have an A right now like Chain rule, etc.. is all easy to me I just never understood implicit diff.
thnnks for the help guyz.