Answer:
Step-by-step explanation:
Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that
is a root.
We can divide the top equation by the root (x-1). Our new equation is
Now we can factor this completely
So this equation in factored form is
Step-by-step explanation:
Given expression is
To, evaluate this limit, let we simplify numerator and denominator individually.
So, Consider Numerator
Clearly, if forms a Geometric progression with first term n and common ratio n respectively.
So, using Sum of n terms of GP, we get
Now, Consider Denominator, we have
can be rewritten as
Now, Consider
So, on substituting the values evaluated above, we get
Now, we know that,
So, using this, we get
Now, in denominator, its an infinite GP series with common ratio 1/e ( < 1 ) and first term 1, so using sum to infinite GP series, we have
Hence,
Answer:
V = (About) 22.2, Graph = First graph/Graph in the attachment
Step-by-step explanation:
Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.
The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.
Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.
Answer:
<h2>y=3000 (0.92)^3=2336.064=$2336.06</h2>Step-by-step explanation:
<h2>Mark me brainliest please</h2>