Posted by **bob HELP NEEDED HELP NEEDED HELP NEEDED** on Sunday, May 1, 2011 at 7:08pm.

a bootlenose dolphin jumps out of the water. the path the dolphin travels can be modeled by h=-0.2d^2+2d, where h represents the height of the dolphin in feet and d represents the horizontal distance.

What is the maximum height the dolphin can jump?

- math -
**MathMate**, Sunday, May 1, 2011 at 8:17pm
h(d)=-0.2d^2+2d

To find the maximum (or minimum), we find the derivative with respect to d and equate to zero.

h'(d) = -0.4d+2 = 0

=>

d = 2/0.4 = 5 ft.

Check that this is the maximum:

method 1:

a parabola with a negative coefficient has only one maximum and no minimum.

method 2:

check sign of h"(d) where d=5'

h"(d) = -0.4 <0 => maximum.

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