I need help with this question. It is due today and if I email my teacher, she doesn’t respond till 10 pm. So please anyone who
can answer this, I would appreciate it .
2 answers:
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Answer:
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Step-by-step explanation:
The correct form of the question is:
Required
Solve for Sum of the sequence
The above sequence represents sum of Geometric Sequence and will be solved using:
But first, we need to get the number of terms in the sequence using:
Where
So, we have:
Apply law of indices:
Apply law of indices:
Represent 1 as
They have the same base:
So, we have
Solve for n
So, there are 1893 terms in the sequence given.
Solving further:
Where
So, we have:
Simplify the numerator
Open Bracket
Hence, the sum of the sequence is:
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Answer:
The area between the two functions is approximately 1.333 units.
Step-by-step explanation:
If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):
So the correct answer is C, the area between the two functions is 4/3 units.
