Calculate the perimeter of this shape.
1 answer:
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Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.
Answer:
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do . Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
Now do . Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
Your final step is to do . Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times
Answer:
FC = 27, QC = 18
Step-by-step explanation:
The centroid Q is the way along CF , therefore, QF is half as long as CQ
Given FQ = 9, then
QC = 2 × 9 = 18
FC = FQ + QC = 9 + 18 = 27