we have M is durectly porpotional to r^2
so M=(k)r^2
and when r=2, m=14
so 14=(k)(2)^2
k=14/4 =7/2
so when r=12
m= (7/2)(12)^2 =(7/2)(144) = 504
<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2
from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>
Answer:
Yes
Step-by-step explanation:
Because they are the same equations, just flipped. hope this helped
Answer:
Either 7 or 23 - read note
Step-by-step explanation:
Substitute m for 8.
*Note: I'm not sure if anything is in parentheses so there are two possible answers depending on whether you want it done left to right or by order of operations*
Left to Right:
3(8) - 3 ÷ 3
24 - 3 ÷ 3
21 ÷ 3
7
Order of Operations:
3(8) - 3 ÷ 3
24 - 3 ÷ 3
24 - 1
23
