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Mathematics 18 Online
OpenStudy (anonymous):

medals for calculus(:

OpenStudy (anonymous):

Find the amplitude and period of y = –3cos(2x + 3). Use your calculator to graph the function and state its symmetry. Find the first positive x-intercept using your calculator’s zero function.

OpenStudy (mtalhahassan2):

ok

OpenStudy (anonymous):

it is negative 3

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

this is the equation

ganeshie8 (ganeshie8):

enter the equation here https://www.desmos.com/calculator

OpenStudy (anonymous):

amplitude is -3 right?

ganeshie8 (ganeshie8):

yes take absolute value of -3 : amplitude = |-3| = 3

ganeshie8 (ganeshie8):

amplitude is the \(distance\) between mean position and highest value, so it can never be negative

OpenStudy (anonymous):

oh right, forgot about that, so the period would be 3pi/2?

ganeshie8 (ganeshie8):

do you mean period is 2pi/2 = pi ?

OpenStudy (anonymous):

wait what? hahha

ganeshie8 (ganeshie8):

period of y = Acos(Bx + C) is 2pi/B

OpenStudy (anonymous):

ohh so the period for this is 2pi/2

ganeshie8 (ganeshie8):

yes, simplifty

OpenStudy (anonymous):

i graphed it, what would the symmetry be ?

OpenStudy (anonymous):

it would just be pi right?

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

pi is the period

ganeshie8 (ganeshie8):

im not sure of symmetry, but i can help you with rest of the question if you want

OpenStudy (anonymous):

yes please! @ganeshie8

OpenStudy (anonymous):

what would be the first positive x intercept?

OpenStudy (anonymous):

@hartnn do you know the symmetry?

ganeshie8 (ganeshie8):

where does the graph cut the x axis ?

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