F(x) = cos x
f'(x) = -sin x
f''(x) = -cos x
f'''(x) = sin x
f''''(x) = cos x
90/4 = 22 Remainder 2
Therefore, 90th derivative of f(x) = cos x is -cos x.
Answer:
Part A: 0
Part B: 0 or 1
Step-by-step explanation:
Part A: anything to the 0 power is 1 (x^0= x^y-y) if you solve 7^2 you get 49. 49^0= 1
Part B: Because it is already being raised to the power of 0, if x=0 it will remain equal to one (as explained above). Anything raised to the 1 power is itself, so 7^0= 1 and 1^1 =1
Hope this helped!
Answer:
Initially, you have 2573 pieces.
You use 5 pieces each minute.
Right when you start, you have 2573 pieces.
One minute after that, you have 2573 - 5 pieces.
Another minute after, you have 2573 - 2*5 pieces.
Another minute after, you have 2573 - 3*5 pieces.
And so on.
You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.
Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:
f(t) = 2573 - 5*t
That represents the number of pieces that you have after t minutes.
You can use Heron's formula to do this
Area of triangle = sqrt[ s(s-a)(s-b)(s-c) ] where s = half the perimeter of the triangle =
1/2 * 13+5+9 = 13.5
so required area = sqrt [ (13.5)(13.5-13)(13.5-5)(13.5-9)]
= 16.1 square meters
