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Mathematics 7 Online
OpenStudy (anonymous):

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)?

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

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

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|

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..

OpenStudy (anonymous):

|dw:1345279245762:dw|

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