A rocket is fired vertically upward and it is s feet above the ground in t seconds after being fixed, where s = 560t-16t^2 and the positive direction is upward. How long it takes for the rocket to reach its hmax(maximum height)?
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OpenStudy (anonymous):
take derivative
OpenStudy (anonymous):
ok...wait there
OpenStudy (anonymous):
35/2? @mandonut ??
OpenStudy (anonymous):
that is t
OpenStudy (anonymous):
at 17.5 sec it reaches max height
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OpenStudy (anonymous):
ya that is answer
OpenStudy (anonymous):
i thought you was looking for max height
OpenStudy (anonymous):
ok...thanks!
i have another question..
OpenStudy (anonymous):
find the relative minimum value of the function y=x^3-3x^2+1
OpenStudy (anonymous):
take derivative and equal to 0
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OpenStudy (anonymous):
to find zeros of function
OpenStudy (anonymous):
x=2 is that right??
OpenStudy (anonymous):
and 0
OpenStudy (anonymous):
these two points are critical points where min or max may exists
OpenStudy (anonymous):
|dw:1345278959132:dw|
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OpenStudy (anonymous):
plug in values between each interval into the derivative equation
OpenStudy (anonymous):
if its negative draw an arrow down and if its positive draw arrow up
OpenStudy (anonymous):
so plug in a value between (-infinity and 0), (0 to 2), and (2 to infinity)
OpenStudy (anonymous):
ok...
If the sum of 2 nos. is s find the minimum value of the sum of their squares..