Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
The area enclosed is (2x)(600-2x).(2x)(600−2x)=1200x−4x2
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
<span>The area is: 45000</span>
Answer:
C. 1 inch = 23 miles
Step-by-step explanation:
To find the scale, add the scale distances shown first.
2.25 + 1.75 = 4 inches on the map
Now, divide the actual mileage (92 miles) by how long it was on the map.
92 / 4
92 = 80 + 12
92/4 = (80/4) + (12/4)
92/4 = 20 + 3
92/4 = 23 miles
That means 1 inch on this map is actually 23 miles. So the scale of the map is 1 inch = 23 miles, which is C.
Answer: What question am I answering
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.
For instance, 
because the derivative of 
is 
.
