Question

the height y of a ball thrown by a child is given by y = -1/12x^2 + 2x + 4. how high is the ball when it is at its maximum height

Answer 1

Answer:

The height of ball when it is at maximum height is 12  unit

Step-by-step explanation:

Given as :

A ball is thrown by child to height y

And y as a function  x is y = $-\frac{1}{12}x^{2}+2x+4$

So, for maximum value of height ,

$\frac{\partial y}{\partial x}$  = 0

Or , $\frac{\partial (-\frac{1}{12}x^{2}+2x+4)}{\partial x}$ = 0

Or, $-\frac{1}{12}(2x)+2$ = 0

Or, $\frac{1}{12}(2x)$ = 2

or,  x = 12

Hence The height of ball when it is at maximum height is 12  unit  Answer