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laiz [17]
2 years ago
15

48c + 12 = 12(_______)

Mathematics
1 answer:
inn [45]2 years ago
3 0

Answer:

\large\boxed{12(4c+1)}

Step-by-step explanation:

How to factor expressions?

Find the G.C.F. and divide it into the terms of the expression you need to factor, like this:

48c+12=12(4c+1)}. So I took the 12 and pulled it out of both terms, obtaining 12(4c+1).

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"find the reduction formula for the integral" sin^n(18x)
dexar [7]
Let

I(n,a)=\displaystyle\int\sin^nax\,\mathrm dx
For demonstration on how to tackle this sort of problem, I'll only work through the case where n is odd. We can write

\displaystyle\int\sin^nax\,\mathrm dx=\int\sin^{n-2}ax\sin^2ax\,\mathrm dx=\int\sin^{n-2}ax(1-\cos^2ax)\,\mathrm dx
\implies I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx

For the remaining integral, we can integrate by parts, taking

u=\sin^{n-3}ax\implies\mathrm du=a(n-3)\sin^{n-4}ax\cos ax\,\mathrm dx\mathrm dv=\sin ax\cos^2ax\,\mathrm dx\implies v=-\dfrac1{3a}\cos^3ax

\implies\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx=-\dfrac1{3a}\sin^{n-3}ax\cos^3ax+\dfrac{a(n-3)}{3a}\int\sin^{n-4}ax\cos^4ax\,\mathrm dx

For this next integral, we rewrite the integrand

\sin^{n-4}ax\cos^4ax=\sin^{n-4}ax(1-\sin^2ax)^2=\sin^{n-4}ax-2\sin^{n-2}ax+\sin^nax
\implies\displaystyle\int\sin^{n-4}ax\cos^4ax\,\mathrm dx=I(n-4,a)-2I(n-2,a)+I(n,a)

So putting everything together, we found

I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx
I(n,a)=I(n-2,a)-\left(-\dfrac1{3a}\sin^{n-3}ax\cos^3ax+\dfrac{n-3}3\displaystyle\int\sin^{n-4}ax\cos^4ax\,\mathrm dx\right)
I(n,a)=I(n-2,a)-\dfrac{n-3}3\bigg(I(n-4,a)-2I(n-2,a)+I(n,a)\bigg)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax
\dfrac n3I(n,a)=\dfrac{2n-3}3I(n-2,a)-\dfrac{n-3}3I(n-4,a)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax

\implies I(n,a)=\dfrac{2n-3}nI(n-2,a)-\dfrac{n-3}nI(n-4,a)+\dfrac1{na}\sin^{n-3}ax\cos^3ax
7 0
3 years ago
Mike is going to have to wait for 5
kiruha [24]

Answer:

12%

Step-by-step explanation:

if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%

7 0
3 years ago
Complete the table below to find solutions to the linear equation -8x+y=8
ryzh [129]

where's the table??if you post the table I will help you

5 0
2 years ago
Find the exact value of tan A in simplest radical form.
k0ka [10]

Answer:

60/11

Step-by-step explanation:

tan A = 60/11

8 0
3 years ago
Read 2 more answers
Can someone help me?
loris [4]

Answer:

Area (A) = ½ (b × h) square units

Step-by-step explanation:

The general formula for calculating the area of a triangle is; Area (A) = ½ (b × h) square units, where; A is the area, b is the base, and h is the triangle's height. The triangles might be different in nature, but it important to note that this formula applies to all the triangles.

3 0
2 years ago
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