Calculus - Area between 2 curves
y=6x^2-x
y=x^2-6x

Question

Calculus - Area between 2 curves
y=6x^2-x
y=x^2-6x

precal · Answer

@satellite73

zepdrix · Answer

The frog lady is back! :O oh my

precal · Answer

ok I have been a little busy.  I went back to work......

precal · Answer

Can you help me please?  I think my key is incorrect

zepdrix · Answer

Ah :3

precal · Answer

my limits according to my key is 0 to 1 but I don't see it

zepdrix · Answer

Looks the the limits are -1 and 0.
Your key says 0 and 1..?

precal · Answer

yes

zepdrix · Answer

So let's find our where they intersect:$$\Large\rm 6x^2-x=x^2-6x$$let's get everything to one side:$$\Large\rm 5x^2+5x=0$$factoring:$$\Large\rm 5x(x+1)=0$$

zepdrix · Answer

Using the Zero Factor Property we get,$$\Large\rm 5x=0 \qquad\implies \qquad x=0$$$$\Large\rm x+1=0\qquad\implies\qquad x=-1$$

precal · Answer

you are correct, I zoom into the wrong region in my calculator

precal · Answer

my key is so wrong
I was given 4, 25/6, 9/2, 14/3, and 29/6 as choices
I was told 25/6 is the solution

zepdrix · Answer

Yah it's a little tricky getting the correct region. https://www.desmos.com/calculator/4b9pmzmtyv There are actually 4 regions right? Only one of them is closed though.

precal · Answer

I now see my solution should be 5/6

precal · Answer

I will go with 5/6 and look at my key in the morning.  I left my book on my desk in my office.

precal · Answer

Thanks for your help.   :)

zepdrix · Answer

5/6? Ah yes that seems right :)
np