Square needs to have all equal sides and length and width are the same.
So sqrt the area.
sqrt 121 = 11
11 feet is the length of one side, square has 4.
So
11 * 4 = 44
The perimeter of a square (whose area is 121 feet) is 44 feet.
Answer:
Step-by-step explanation:
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
has gradient
which at the point (-1, 4, 3) has a value of
I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say 
, in which case we have
Then the derivative of at (-1, 4, 3) in the direction of 
is
