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Mon 10 Nov, 2008 09:30 pm
A flea's jump can be modeled by the function y=-0.073x(x-33) where x is the horizontal distance (in centimeters) and y is the corresponding height (in meters). How far did the flea jump? What was the flea's maximum height?
student850 wrote:
A flea's jump can be modeled by the function y=-0.073x(x-33) where x is the horizontal distance (in centimeters) and y is the corresponding height (in meters). How far did the flea jump? What was the flea's maximum height?
The maximum can be found by setting the first derivative of the function equal to zero.
What Brandon said:
y=f(x)
f(x)=-0.073x(x-33)
f(x)=-0.073x^2+2.409x
f'(x)=-0.146x+2.409
0=-0.146x+2.409
0.146x=2.409
x=16.5
f(x)=-0.073(16.5)(16.5-33)
f(x)=19.87425
Which is how high the flea the jumped.
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