The given function is:
P = 120 i / (i^2 + i + 9)
or
P = 120 i (i^2 + i + 9)^-1
<span>The maxima point is obtained by taking the 1st
derivative of the function then equating dP / di = 0:</span>
dP / di = 120 (i^2
+ i + 9)^-1 + (-1) 120 i (i^2 + i + 9)^-2 (2i + 1)
setting dP / di =0 and multiplying whole equation by (i^2
+ i + 9)^2:
0 = 120 (i^2 + i + 9) – 120i (2i + 1)
Dividing further by 120 will yield:
i^2 + i + 9 – 2i^2 – i = 0
-i^2 + 9 =0
i^2 = 9
<span>i = 3 (ANSWER)</span>
Therefore P is a maximum when i = 3
Checking:
P = 120 * 3 / (3^2 + 3 + 9)
P = 17.14
Answer:
L× W×H
<h2> Please mark me as brainlist. </h2>
<span>Carbon-6, Hydrogen-12, Oxygen-6
Number of atoms altogether: 24</span>
Answer:
3,4,1 and 6,5,2
Explanation:
In the electromagnetic spectrum the arrangement of the waves in increasing frequencies and decreasing wavelengths are as follows;
Radio waves
Microwaves
Infrared waves
Visible light rays
Ultraviolet rays
X-rays
Gamma rays
(a simple mnemonic is RMIVUXG)
