At East High School, 60% of the students voted in an election. If there are 1500 students, How many voted?
2 answers:
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A) This particular limit is of the indeterminate form,
if we plug in infinity directly, though it is not a number just to check.
If a limit is in this form, we apply L'Hopital's Rule.
's
So we take the derivatives and obtain,
Still it is of the same indeterminate form, so we apply the rule again,
This simplifies to,
b) This limit is also of the indeterminate form,
we still apply the L'Hopital's Rule,
When we plug in zero now we obtain,
c) This also in the same indeterminate form
It is still of that indeterminate form so we apply the rule again, to obtain;
Now we have remove the discontinuity, we can evaluate the limit now, plugging in zero to obtain;
This gives us;
d)
For this kind of question we need to rationalize the radical function, to obtain;
We now divide both the numerator and denominator by x, to obtain,
This simplifies to,
if we plug in infinity directly, though it is not a number just to check.
If a limit is in this form, we apply L'Hopital's Rule.
's
So we take the derivatives and obtain,
Still it is of the same indeterminate form, so we apply the rule again,
This simplifies to,
b) This limit is also of the indeterminate form,
we still apply the L'Hopital's Rule,
When we plug in zero now we obtain,
c) This also in the same indeterminate form
It is still of that indeterminate form so we apply the rule again, to obtain;
Now we have remove the discontinuity, we can evaluate the limit now, plugging in zero to obtain;
This gives us;
d)
For this kind of question we need to rationalize the radical function, to obtain;
We now divide both the numerator and denominator by x, to obtain,
This simplifies to,
Answer:
Check the attached graph for correct match.
Step-by-step explanation:
Graph of the given choices are not given but we can still solve this problem.
Given equation is 15x-12y=60.
Which is linear equation so we need at least two points to get the graph.
We are free to select any random number of x then plug that into given equation to find other variable.
Let's use x=0
15x-12y=60
15*0-12y=60
0-12y=60
-12y=60
divide both sides by -12
y=-5
Hence point is (0,-5)
Similarly plug y=0
15x-12y=60
15x-12*0=60
15x-0=60
15x=60
divide both sides by 15
x=4
Hence point is (4,0)
Now graph both points then join them by a straight line.
Any graph given in the choices which match with attached graph will be the answer.
Check the attached graph for correct match.
