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.
the answer is A but im just guessing ya know?
Answer:
48 units
b= 48 units
Step-by-step explanation:
pythag is 
we have a and c
so substitute them in
now you can solve
subtract 196 from both sides
subtract
2500 - 196 = 2304
solve for the square root
square root of 2304= 48
therefore b= 48 units
Answer:
(1,8)
Step-by-step explanation:
