Answer:
<em>f</em> has no critical points.
Step-by-step explanation:
We are given:

A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:

Since this will never be undefined, solve for its zeros:

Hence:

Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, <em>f</em> has no critical points.
Answer:
It is b^6
Step-by-step explanation:
The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:

here,
a = 2
b = -1
c = -6
Putting these values in formula, we get




x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
20 golf balls can fit in the can.
<u>Step-by-step explanation:</u>
Given:
Height (h) = 10 Inches
Volume of 15.625 Pi inches cube.
To Find:
How many balls can be filled in that can.
Solution:
Diameter of the golf ball [as per standard value] = 1.68 in
Radius of the golf ball = 
Volume of the golf ball = 
=
=
Volume of the can = 
Now we have to divide the volume of the can by the volume of the golf ball, we will get =
balls
Thus we can conclude that approximately 20 balls can be filled in that can.
Answer: 504
Step-by-step explanation: