what is the max distance from the origin for the function s=4sin4t

Question

anonymous · Answer

why is it finite?

zepp · Answer

I think he's asking for the maxima :|

anonymous · Answer

answer is 4

anonymous · Answer

and the min distance is 0

anonymous · Answer

i dont know how to get that...

zepp · Answer

min is -4, not 0

anonymous · Answer

thats what the answer states, in the back of the book

zepp · Answer

Okay, first, you have to know that for the basic sine function, the maximum is 1 and the minimum is -1.

Forget about the a value, so you have 4x

-1 <= sin(4t) <= 1

You have to put the a value now, so multiply everybody by 4 (a's value)

-4 <= sin(4t) <= 4

These are the Maximum and the minimum, and I don't know why your book says 0.. :/

zepp · Answer

Oops sorry 
Should be 

-4 >= sin(4t) >= 4

anonymous · Answer

yes thats excatly how i thought about it.

zepp · Answer

Since in an inequality equation, when you multiply or divide, you have to flip the sign.

Then I don't know, you can graph it if you want, and you'll find out that the minimum is not at 0.

anonymous · Answer

ok

amistre64 · Answer

i think this is in polar form

zepp · Answer

^ That one works with the range of [0,4] :O