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Mathematics 13 Online
OpenStudy (thecalchater):

calculus check what i have and help?

OpenStudy (thecalchater):

1 2 3 A 4 B 5

OpenStudy (agent0smith):

One question at a time is better than five.

OpenStudy (agent0smith):

Just use wolfram alpha to check it

zepdrix (zepdrix):

I don't see choices for question 1..

OpenStudy (thecalchater):

5 I got a so 1. C 2. ? 3. A 4. B 5. A

zepdrix (zepdrix):

Cool, number 1 looks correct c:

OpenStudy (thecalchater):

will u check 3-5 and then help with 2?

zepdrix (zepdrix):

ye, simmer down :O

zepdrix (zepdrix):

3 looks good.

zepdrix (zepdrix):

4, mmmm I'm not so sure about 4...

OpenStudy (thecalchater):

for 4 it is either b or d i got b tho.

zepdrix (zepdrix):

For problem 2,\[\large\rm y=\arcsin(6x)\]So what is your derivative function?

OpenStudy (thecalchater):

6/ sqrt1-36x^2

zepdrix (zepdrix):

Good, so to get our slope, we evaluate the derivative function at the x-value which was given.

OpenStudy (thecalchater):

ok so plug in the x value to get it ?

OpenStudy (thecalchater):

so the 1/6sqrt2?

zepdrix (zepdrix):

Yes.\[\large\rm y'\left(\frac{1}{6\sqrt2}\right)=\frac{6}{\sqrt{1-36\left(\frac{1}{6\sqrt2}\right)^2}}\]

OpenStudy (thecalchater):

i plugged that in and it gave me 6sqrt2 but that isn't a choice :(

zepdrix (zepdrix):

Simmer down, that's only half of the problem... step by step...

OpenStudy (thecalchater):

ok :P did 5 look ok?

zepdrix (zepdrix):

Ok so we have the SLOPE of our tangent line.\[\large\rm Y=mx+b\]\[\large\rm Y=\frac{6}{\sqrt2}x+b\]

zepdrix (zepdrix):

Plug in the point they gave you (both the original function and the tangent line share this point, so we can use it here) and solve for b, the y-intercept.

zepdrix (zepdrix):

Or you could shortcut from this point, and realize that only one of the options has the correct slope.

OpenStudy (thecalchater):

It's D!

OpenStudy (thecalchater):

so 4 and 5 look ok too then?

OpenStudy (thecalchater):

pretty sue is d looking at i t again...

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