Answer:
Required center of mass
Step-by-step explanation:
Given semcircles are,
whose radious are 1 and 4 respectively.
To find center of mass, , let density at any point is and distance from the origin is r be such that,
where k is a constant.
Mass of the lamina=m= where A is the total region and D is curves.
then,
- Now, x-coordinate of center of mass is . in polar coordinate
Then,
- y-coordinate of center of mass is . in polar coordinate
Then,
Hence center of mass
The slope for that is undefined.
Answer:
The two numbers marked on the number line are -5 and 7.
Two inequalities to compare the marked numbers on the number line:
-5 < 7 or 7 > -5
The <u><em>written form</em></u> of the two inequalities are:
-5 < 7 : Negative five is <u>less than</u> positive seven.
7 > -5 : Positive seven is <u>greater than</u> negative five.
Answer:
f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27