Question

is sin10x=10sinx? give a counter example if its false.

Answer 1

pick any number for x and you will see. well don't pick x = 0

Answer 2

no
if x=pi/2
then
sin(pi/2)=1

10sin(pi/2)=10(1)=10

sin(10*pi/2)=sin(5pi)=0

Answer 3

maybe pick
\[x=\frac{\pi}{2}\] then get
\[\sin(10\times \frac{\pi}{2})=\sin(5\pi)=0\]

Answer 4

whereas
\[10\sin(\frac{\pi}{2})=10\times 1=10\]

Answer 5

oh look, we used the same exact example!

Answer 6

ok i admit i copied.

Answer 7

lol

Answer 8

well pi/2 was easier choice to use

Answer 9

easiest*

Answer 10

next time i will pick
\[\frac{\pi}{12}\]

Answer 11

lol

Answer 12

you teach tuesday?

Answer 13

yes

Answer 14

have fun!

Answer 15

it will be a blast im sure

Answer 16

thank you so much(:

Answer 17

Can you detect a possible danger in determining the domain of a function solely by analyzing the graph generated by a graphing utility?

Answer 18

sure

Answer 19

especially if your graph has a "hole" in it. here is an example
http://www.wolframalpha.com/input/?i=y%3D%28x^2-4%29%2F%28x-2%29

Answer 20

the function is not defined at x = 2 but the graphing utility will not pick it up

Answer 21

I need help getting started on writing a short paragraph about the importance of examining a function analytically as well as graphically.