Perform the indicated multiplication:
<span>7p-(3p+4)= -2(2p-1) + 10
becomes
7p - 3p - 4 = -4p + 2 + 10
Group like terms:
7p - 3p + 4p = 2 + 10 + 4
8p = 16 => p = 2 (answer)</span>
Given:

From the function above, there was a horizonal stretch.
using the transformation rule:

Therefore, we can say that there is a horizontal shift of the graph to the right.
ANSWER:
B. The graph of the function g(s) is a horizontal shift of the graph of the function to the right.
<span>since sin and cos = each other at pi/4; take your integrals from 0 to pi/4
</span><span>[S] cos(t) dt - [S] sin(t) dt ;[0,pi/4]
</span>
<span>to revolve it around the x axis;
we do a sum of areas
[S] 2pi [f(x)]^2 dx
</span>
<span>take the cos first and subtract out the sin next; like cutting a hole out of a donuts.
</span><span>pi [S] cos(x)^2 dx - [S] sin(x)^2 dx ; [0,pi/4]
</span>
<span>cos(2t) = 2cos^2 - 1
cos^2 = (1+cos(2t))/2
</span>
<span>1/sqrt(2) - (-1/sqrt(2) +1)
1/sqrt(2) + 1/sqrt(2) -1
(2sqrt(2) - sqrt(2))/sqrt(2) = sqrt(2)/sqrt(2) = 1</span>
Answer:

Step-by-step explanation:
Collect like terms

Collect like terms again and you get 
Hope this helps ʕ•ᴥ•ʔ
Answer: 583
Step-by-step explanation: Just add 424 and 159.