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:
D) Zero solutions
Step-by-step explanation:
9 - 5x = 8 - 3x - 1 - 2x
9 - 5x = 7 - 5x
9 = 7
Zero solutions
Answer:
65 points in all
Step-by-step explanation:
3 x 3 = 9
7 x 8 = 56
56 + 9 = 65
:))
Answer:
To convert fraction to decimal, divide 3/10, which would give you . 3 which is already a decimal. To convert decimal to percent, multiply by 100 which would give you 30, hence 30%
