Answer: square root 50 that does not belong
Step-by-step explanation:
<span>The two points that are most distant from (-1,0) are
exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3)
approximately (0.3333333, 1.885618) and (0.3333333, -1.885618)
Rewriting to express Y as a function of X, we get
4x^2 + y^2 = 4
y^2 = 4 - 4x^2
y = +/- sqrt(4 - 4x^2)
So that indicates that the range of values for X is -1 to 1.
Also the range of values for Y is from -2 to 2.
Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis.
So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So
y = sqrt(4-4x^2)
distance is
sqrt((x + 1)^2 + sqrt(4-4x^2)^2)
=sqrt(x^2 + 2x + 1 + 4 - 4x^2)
=sqrt(-3x^2 + 2x + 5)
And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving
-3x^2 + 2x + 5
Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative.
d = -3x^2 + 2x + 5
d' = -6x + 2
And set d' to 0 and solve for x, so
0 = -6x + 2
-2 = -6x
1/3 = x
So the furthest point will be where X = 1/3. Calculate those points using (1) above.
y = +/- sqrt(4 - 4x^2)
y = +/- sqrt(4 - 4(1/3)^2)
y = +/- sqrt(4 - 4(1/9))
y = +/- sqrt(4 - 4/9)
y = +/- sqrt(3 5/9)
y = +/- sqrt(32)/sqrt(9)
y = +/- 4sqrt(2)/3
y is approximately +/- 1.885618</span>
This question includes some misspelled words; here is the correct question:
Which point of view is most likely to be unreliable in a story?
All points of view in a story are equally reliable.
The first person narrator is most likely to be unreliable.
All points of view in a story are equally unreliable.
The third-person point of view is most likely to be unreliable.
The correct answer is The first-person narrator is most likely to be unreliable.
Explanation:
In a narrative text, an unreliable narrator implies the narrator lies on purpose to the reader, or his/her version of the story is not completely accurate. This feature of narration occurs mainly if the story, novel, etc. includes a first-person narrator. This is because in a first-person narrator, the thoughts, feelings, and point of view of one of the characters prevail, and this causes the events told are subjective and therefore more likely to be inaccurate. Also, this does not occur if there is a third-person narrator because in this case the narrator acts as an observer and this makes it more objective.