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** the two questions are boxed in red**

1) True 2) False

Step-by-step explanation:

1) Given  

To verify that the above equality is true or false:

Now find

Expanding the summation we get

Now find

Expanding the summation we get

 Comparing the two series  we get,

so the given equality is true.

2) Given

Verify the above equality is true or false

Now find

Expanding the summation we get

now find

Expanding the summation we get

Comparing the series we get that the given equality is false.

ie,

step-by-step explanation:

in which figure is point g a centroid