For what value(s) of t, with 0 ≤ t ≤ 4, is the slope of the curve undefined for the graph defined by x = 2t – 2 sin(t), y = 2 – 2 cos(t) ?
Type your answer in the space below to the nearest whole number. (ex: 4)
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OpenStudy (anonymous):
so i found dy dx which is (sint)/(2-cos(t)
OpenStudy (anonymous):
I dont think it can be undefined
OpenStudy (triarimig3):
yes, I couldn't find anything about it.
OpenStudy (anonymous):
do you know anybody that could help potentially?
OpenStudy (freckles):
i think you are missing some 2's
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OpenStudy (anonymous):
On my derivative?
OpenStudy (freckles):
yep
OpenStudy (anonymous):
yeah just noticed
OpenStudy (anonymous):
(2sint)/(2-2cos(t)
OpenStudy (freckles):
so anyways we solve dx/dt=0
or 2-2 cos(t)=0
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OpenStudy (freckles):
equivalent to solving cos(t)=1
OpenStudy (freckles):
this can happen unlike your previous equation where you had 2-cos(t)=0 since cos(t) is never 2 because cos(t) can only be a number between -1 and 1 (inclusive)
OpenStudy (anonymous):
so t=0 is that answer
OpenStudy (anonymous):
I was getting so frustrated because I could not figure out why i couldnt get dx/dt to equal 0. Forgot some 2's lol
OpenStudy (freckles):
it happens
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