MHB Find arc length starting from P_0

[ineedhelpnow]

find the arc length function for the curve $y=2x^{3/2}$ with starting point $P_{0}(1,2)$. how do i do this? this is what I've done so far.

$y'=3\sqrt{x}$

$1+(3\sqrt{x})^2=9x+1$

$\int_{a}^{b} \ \sqrt{9x+1},dx$

what's my a and what's my b?

 

[I like Serena]

find the arc length function for the curve $y=2x^{3/2}$ with starting point $P_{0}(1,2)$. how do i do this? this is what I've done so far.

$y'=3\sqrt{x}$

$1+(3\sqrt{x})^2=9x+1$

$\int_{a}^{b} \ \sqrt{9x+1}\,dx$

what's my a and what's my b?

Hi ineedhelpnow!

Please start new questions in new threads rather than tagging them onto existing threads. As you can see I have moved your question to a new thread.The beginning of the curve is specified as the point $P_0$. Which $x$ corresponds to it? That is your $a$.

The end point is not specified, so we can leave it as $b$, meaning we get an arc length that is a function of $b$.

 

[ineedhelpnow]

ooookay! thanks! so i do it from 1 to x?

 

[I like Serena]

ooookay! thanks! so i do it from 1 to x?

Yep.