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.
Answer This Question
Related Questions
 math  a bootlenose dolphin jumps out of the water. the path the dolphin travels...
 math  a bootlenose dolphin jumps out of the water. the path the dolphin travels...
 physics  A trained dolphin leaps from the water with an initial speed of 12 m/s...
 Math Geometry  Please check my answers!  There's a line graph with 3 dolphins...
 physics  A dolphin experiences a force of 320 N [up] when it jumps out of the ...
 Physic  A dolphin experiences a force of 320 N [up] when it jumps out of the ...
 math help please  Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% ...
 physics  during a water show the dolphin made a vertical jump of 2.5 m. ...
 math  A dolphin is swimming with her friend. The dolphin jumps to a height of 4...
 help on math  Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% farther. ...
More Related Questions