Answer
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
3 miles ÷ 2
2 hours ÷ 2
=
1.5 miles
1 hour
=
1.5 miles
hour
= 1.5 miles per hour
For this case we have the following equation:
h = -16t2 + 64t + 80
To find the maximum height, we derive the equation:
h = -32t + 64
We match zero:
-32t + 64 = 0
We clear t:
t = 64/32
t = 2
We substitute the value of t in the given equation:
h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
h (2) = 144
Answer:
The maximum height is 144 feet and the time to reach this height is 2 seconds.
Answer:
Absolute maximum is 2
Absolute minimum at -2
Step-by-step explanation:
The given parametric functions are:
By the chain rule:
At fixed points, 
This gives 
on 
This implies that the extreme points are 
and 
By eliminating the parameter, we have 
This is a circle with radius 2, centered at the origin.
Hence (0,2) is an absolute maximum ,at 
and (0,-2) is an absolute minimum at 
Answer:
10 divided by 12 equals 0.833333333
