<u>Answer</u>
Incorrect
<u>Explanation</u>
Unpack the problem:
Let the distance round the track to be X.
Speed is the ratio of distance to time.
Robert run a distance of (1/2)x
Elaine run a distance of (3/4)x
Make a plan:
Finding the speed of each.
Compare their speeds to determine who ran faster than who.
Solution:
Robert's speed =(1/2)x/(5/6)
=1/2×6/5x
= (3/5)x
= 0.6x
Elaine's speed = (3/4)x/(9/10)
= (3/4)×(10/9)x
= (5/6)x
= 0.83333x
<em>Elaine ran faster than Robert. </em>
<u>Look back and explain:</u>
0.83333x > 0.6x
Elaine's speed is higher than Robert's speed.
This shows that Elaine ran faster than Robert.
For this case we have that by definition, the discriminant of a quadratic expression is given by:
If the discriminant is less than zero then the expression has two different complex roots.
In this case we have the following expression:
So we have to:
The discriminant is given by:
Then, if we want two complex roots it must be fulfilled that:
Thus, the expression has two complex roots for all values greater than 4.
ANswer:
Not of Bernoulli type, but still linear.
There's no need to find an integrating factor, since the left hand side already represents a derivative:
So, you have
and integrating both sides with respect to
yields