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Mathematics 19 Online
zarkam21:

Help please is this D?

zarkam21:

Vocaloid:

let's put the individual pieces of information together - 0 at 0 means it crosses (0,0) would this be a cos or a sin function? - amplitude of 5, what does that mean in terms of how the function is written? - period of 4 seconds, remember what we said earlier about period = 2pi/b, calculate b which becomes the coefficient of t lmk if you get stuck

zarkam21:

A

Vocaloid:

oh wait you were right the first time, it's D

zarkam21:

zarkam21:

Litte confused, my best guess is B? :/

Vocaloid:

well if it crosses (0,4) it's probably not a sin function since sine typically crosses (0,0) try to calculate the b value by taking period = 2pi/b

Vocaloid:

the period is stated to be 6 so 6 = 2pi/b solve for b

zarkam21:

pi/3

Vocaloid:

good so putting everything together, amplitude of 4, b = pi/3, a cos function gives us 4cos(t*pi/3) = answer A

zarkam21:

zarkam21:

8

Vocaloid:

good

zarkam21:

zarkam21:

pi/3

Vocaloid:

not quite, pi/3 is the b value first find the period based on that b-value period = 2pi/b then after that, find frequency = 1/period

zarkam21:

1/2pi

Vocaloid:

period = 2pi/b = 2pi/(pi/3) = ?

zarkam21:

2/4

zarkam21:

2/3**

Vocaloid:

remember the rule for dividing fractions, flip the numerator and denominator of the second fraction, then multiply 2pi/(pi/3) = 2pi * (3/pi) = ?

zarkam21:

6

Vocaloid:

awesome, so if period = 6 then frequency = 1/6 = your answer

zarkam21:

Vocaloid:

|dw:1522881756800:dw| you are given L and g, find T

zarkam21:

4.49

Vocaloid:

well done

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