No, your answer is not correct. If you want someone to say what you did wrong, then you will have to tell us what you did!
With this one I struggled A LOT..because there were so many variables and I kept getting them confused :/ I tested each equation to see if it fit the question, but it took me a while and I wasn't sure how to test them. Can you help me with this?
What do you expect the value of $P_L$ to be as time goes to infinity?
What do you expect the derivative to approach as $P_L$ approaches this value?
I think as the value of PL will increase when time approaches infinity. Right? Actually wouldn't it increase and then decrease? and the derivative of PL as PL curves would be a constant decreasing equation?
I think as the value of PL will increase when time approaches infinity. Right? Actually wouldn't it increase and then decrease? and the derivative of PL as PL curves would be a constant decreasing equation?
you are told $M$ is the maximum value $P_L$ will attain....
you are told $M$ is the maximum value $P_L$ will attain....
Oh god, I'm an idiot. Okay so the value of PL will approach M as time approaches infinity. And I'm not sure what will happen with the derivative then. :/
Oh god, I'm an idiot. Okay so the value of PL will approach M as time approaches infinity. And I'm not sure what will happen with the derivative then. :/
If a function becomes constant, say at $P_L=M$, then what value must the derivative go to?
yes. Now there are two choices that satisfy these 2 conditions. You'll need to do a bit of work to figure out why one isn't correct.
Thank you so much! It took me forever but I separated all of them and eliminated the last one. I had to do the third one twice but it's derivative after separating doesn't equal 0. So it'd have to be option 2. I and II, right?
Thank you so much! It took me forever but I separated all of them and eliminated the last one. I had to do the third one twice but it's derivative after separating doesn't equal 0. So it'd have to be option 2. I and II, right?
Our condition is that as $P_L$ approaches $M$, $\dfrac{dP_L}{dt}$ approaches 0.
Does II satisfy that?
Does it look like III satisfies that?
You don't have to do the separation to immediately rule out II and IV.