Question

Can you see if this is right?
For how many x values will the tanget lines to y=4sinx and y=x^2/2 be parallel?

Answer 1

y'=4cosx
4cosx=1/2
cosx=1/8

Answer 2

or is it 4cosx=x^2/2

Answer 3

4cosx = x is the answer!

Answer 4

for some reason the answer is supposed to be 3...

Answer 5

Ahh I see. Take the derivatives and graph them and see where they intersect. They intersect 3 points which means that the slopes of the graphs at that x-value is exactly the same.

Answer 6

do i take the derivative of the second equation too?

Answer 7

or just the first one?

Answer 8

i just derived them and equal them. theie ramp should be parallel!

Answer 9

so would it be 4cosx=x^2/2
or 4cosx=x?

Answer 10

the second derive is X. \[^{2}=2x \rightarrow 2x.1/2=X\]

Answer 11

can you explain that?

Answer 12

clear?!

Answer 13

whats your equation supposed to be?

Answer 14

2x.1/2=x ??

Answer 15

yea

Answer 16

Kay thank you

Answer 17

ur pleasure;) if u need more explains, i can help:)