Mathematics
6 Online
OpenStudy (anonymous):
f(x,y)=e^x.sin(y)
how to get the value of x, if the only information we have is f(x,y)=0 ?
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OpenStudy (amistre64):
well, we should know that whenever you multiply by 0 you get zero right?
OpenStudy (australopithecus):
well if f(x,y) = 0
then set the equation to zero
0 = e^(x.sin(y))
OpenStudy (australopithecus):
and solve for x and y
OpenStudy (amistre64):
e^n is never zero
OpenStudy (anonymous):
yeah, but e^x cant be zero
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OpenStudy (amistre64):
is siny in te exponent?
OpenStudy (anonymous):
nope sin(y) is not a component, sorry making u guys confuse
OpenStudy (australopithecus):
sin(0) = 0
thus we can deduce that y = 0
so we have
0 = e^(x)sin(0)
OpenStudy (amistre64):
then x is any value; as long as sin(y) = 0
OpenStudy (australopithecus):
x can be any real number :\
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OpenStudy (australopithecus):
stole my thunder amistre64
OpenStudy (amistre64):
*kapow* lol
OpenStudy (australopithecus):
although to be fair I knew the answer about a minute after thinking about it I was just explaining it
OpenStudy (australopithecus):
the answer is that x is any value or the value of x is indeterminable based on the information provided
OpenStudy (amistre64):
oh yeah? i knew it three days ago and was just waiting for the opportunity to give it ;)
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OpenStudy (australopithecus):
damn I can't compete with that
OpenStudy (anonymous):
Yeah i was asked to find the value of x in exam. I wonder was that a mistake ?
OpenStudy (amistre64):
x = any real number
OpenStudy (australopithecus):
x
=
\[\mathbb{R}\]
OpenStudy (australopithecus):
you could also say a value cannot be specified based on the information provided
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OpenStudy (australopithecus):
both are right answers
OpenStudy (anonymous):
Ok thanks guys =D