To find population density, it is population / area.
The population is 6688, divided by the area of 16.
6688/16 = 418
So the population density is 418 people per sq mile.
n=3; We need a third degree polynomials with the following given zero's: 2 and 5i are zeros; f(-1)=156.
Since these are solutions
x = 2 ; x = 5i. Since imaginaries travel in pairs, the other answer is x= -5i.
We have (x-2)(x-5i)(x+5i) = 0
Now,
f(-1) = (-1-2)(-1-5i)(-1+5i) = 156.
f(-1) = (-3)(26) = -78.
But -78 x -2 = 156, so our polynomial becomes
Y= -2x (<em>x</em> - 2 ) x (<em>x </em>to the power of 2 + 25) = 0
Student B is wrong , student A is correct in simplifying the expression .
Expression B must be simplified to cot θ .
Formulas to be used are :
1 - 
θ = 
θ
1 - 
θ = 
θ .
Since , location of error is step 3 , we will start from there
[ ( 1 - θ ) / sin θ ] / cos θ = [ ( 1 - θ ) / sin θ ] * [ 1 / cos θ ]
= ( 1 - θ ) / ( sin θ * cos θ )
= θ / ( sin θ * cos θ )
= cot θ .
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Since , the question is incomplete we assume it to be :
