To evaluate
First, we input 0, for theta in the function to obtain:
This is an indeterminate form.
So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows:
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
Answer:
6
Step-by-step explanation:
12/2=6/1=6
The solution of the given expression will be 121. The correct answer is option A.
The complete question is given below:-
Simplify the following expression. 11^6/11^4
A. 121 B. 1331 C. 11 D. 22
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The solution of the given expression will be given as follows:-
Therefore the solution of the given expression will be 121. The correct answer is option A.
To know more about expression follow
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Answer:
Sum of the Roots = 37
Product of the Roots = 27
Step-by-step explanation:
Here, the given expression is
Now the general Quadratic Equation is of the form:
Here, Sum of the Roots =
and the Product of the Roots =
So, comparing the general equation with the given equation, we get:
a = 1, b = -37 and c = 27
So, Sum of the Roots = = 37
and the Product of the Roots = = 27