To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
Answer:
c.) 7.5
Step-by-step explanation:
There is a part-to-whole relationship here.
2 customers : 8 minutes= ? customers : 30 minutes
<em>or...</em>
2/8=x/30
Cross multiply:
8x=60
Divided both sides by 8:
x=60/8=7.5
I hope this helps!
-9 to the second power will most likely be 81. A negative x a negative equals a positive. Hope this helped.
Answer:
x- coordinate of P is - 6
Step-by-step explanation:
The coordinates of any point in the form of an ordered pair (x, y )
Point P has coordinates P (- 6, 2 )
Answer:
1/3
Step-by-step explanation:
for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3
