for this question, for question b, is it when dy/dt = 0? or is there another situation where i am not taking it into account?
#Calculus Parametric Equations
keen moss
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for this question, for question b, is it when dy/dt = 0? or is there another sit...
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cosmic breach
,w graph 1+sin(5x)
fast summitBOT
cosmic breach
cosmic breach
for this question, for question b, is it when dy/dt = 0? or is there another sit...
yes
dy/dt = 0
BUT
the slope is zero at the maxima and the minima both
so it might lead you to the point it touches the water too
keen moss
so it might lead you to the point it touches the water too
should i include that point
for example, when i find all values of t
and if one of the values of t is the value that the stone sinks
do i include that t value?
because i got t = pi/10, 3pi/10, 5pi/10 and 7pi/10
but 7pi/10 was my answer for q1
cosmic breach
@keen moss have you alr found when the stone sinks?
then just sieve out the values of when it doesn't sink
that's your max height.
keen moss
<@680899286317138041> have you alr found when the stone sinks?
yeah
the stone sinks at y = 1 + sin(5t)
sin(5t) = -1
so 5t = 3pi/2 + 2pik
t = (3pi + 4pi*k)/10
the first time it touches the pond is at k = 0, so 3pi/10
the second time is at k = 1, so 7pi/10
so it sinks at both 7pi/10 and travels horizontally at 7pi/10
so idk if i should include that value or not
cosmic breach
so i am confused, what is this supposed to show?
the y slope SUPPOSEDLY zero at a lot o places
cursive flower
take y as 0
0 = 1+sin(5t)
-1 = sin(5t)
1 = sin(-5t)
pi/2 + 2npi = -5t
(-2n-1/2)pi/5 = t
find the second smallest value of t where n is an integer
hmmmmm
7pi/10 huh
ok
for b
i think its dy/dt = dx/dt = 0
cosmic breach
inverse.
cursive flower
5 + 5sin(5t) = 0
sin(5t) = -1
-5t = 2npi + pi/2
-pi(2n+1/2)/5 = t
again 7pi/10
huh
keen moss
+close