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:
131.95 cm
Step-by-step explanation:
The Formula for the circumference of a circle is πd where d is the diameter. Therefore you simply multiply 42 with PI to get the circumference
Answer:
Step-by-step explanation:
It's the same amount each month, for a year. So:
total money ÷ times money was taken out= how much has been taken out.
$600÷12=50
Answer:
22 oranges
Step-by-step explanation:
$15 --- 66 oranges
$5 --- 
× 66 oranges = 22 oranges
