Answer:
Q 12 roots of the equation
∝ = 
β = 
no matter if u oppose the root
(i) 2()
+2
()+2(
(ii)(
- 3 ()() + (
) = 
Q 13 roots of equation
the roots of the second equation are
x1 = 1/3(-0.693) = -0.231
x2 = 1/3(1.443) = 0.481
the equation is
(x+0.231)(x-0.481)=0
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.
A point is a 0-dimensional mathematical object which can be specified in -dimensional space using an n-tuple ( , , ..., ) consisting of. coordinates. In dimensions greater than or equal to two, points are sometimes considered synonymous with vectors and so points in n-dimensional space are sometimes called n-vectors.
Answer:
c
1,400
Step-by-step explanation:
We take the sample proportion of skunks and estimate for the entire population.
Sample:
140 skunks out of 230 + 140 + 120 = 490 animals.
140/490 = 0.28571428571
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?
0.28571428571 out of 5000. So
0.28571428571*5000 = 1429
Close to 1400, which means that the answer is given by option C.
Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
