Mathematics
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OpenStudy (anonymous):
medals for calculus(:
11 years ago
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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.
11 years ago
OpenStudy (mtalhahassan2):
ok
11 years ago
OpenStudy (anonymous):
it is negative 3
11 years ago
OpenStudy (anonymous):
@ganeshie8
11 years ago
OpenStudy (anonymous):
this is the equation
11 years ago
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OpenStudy (anonymous):
amplitude is -3 right?
11 years ago
ganeshie8 (ganeshie8):
yes take absolute value of -3 :
amplitude = |-3| = 3
11 years ago
ganeshie8 (ganeshie8):
amplitude is the \(distance\) between mean position and highest value, so it can never be negative
11 years ago
OpenStudy (anonymous):
oh right, forgot about that, so the period would be 3pi/2?
11 years ago
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ganeshie8 (ganeshie8):
do you mean period is 2pi/2 = pi ?
11 years ago
OpenStudy (anonymous):
wait what? hahha
11 years ago
ganeshie8 (ganeshie8):
period of y = Acos(Bx + C) is 2pi/B
11 years ago
OpenStudy (anonymous):
ohh so the period for this is 2pi/2
11 years ago
ganeshie8 (ganeshie8):
yes, simplifty
11 years ago
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OpenStudy (anonymous):
i graphed it, what would the symmetry be ?
11 years ago
OpenStudy (anonymous):
it would just be pi right?
11 years ago
OpenStudy (anonymous):
@ganeshie8
11 years ago
ganeshie8 (ganeshie8):
pi is the period
11 years ago
ganeshie8 (ganeshie8):
im not sure of symmetry, but i can help you with rest of the question if you want
11 years ago
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OpenStudy (anonymous):
yes please! @ganeshie8
11 years ago
OpenStudy (anonymous):
what would be the first positive x intercept?
11 years ago
OpenStudy (anonymous):
@hartnn do you know the symmetry?
11 years ago
ganeshie8 (ganeshie8):
where does the graph cut the x axis ?
11 years ago