Evaluate expressions a through f using information about var

Evaluate expressions a through f using information about variables X and Y from the following table.

Solution

a)

Thus, Sum(x-y) = 3 [ANSWER]

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b)

Thus, Sum[(x-y)^2] = 13 [ANSWER]

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c)

As

Sum(x-y) = 3

Then

[Sum(x-y)]^2 = 9 [ANSWER]

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c)

Thus, as Sum(x) = 6, Sum(y) = 3, then

[Sum(x)]^2[Sum(y)]^2 = 6^2 3^2 = 324 [ANSWER]

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e)

Thus, Sum[x(x-y)] = 12 [ANSWER]

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f)

Thus, [Sum(x^2 y)^2]^2 = 16^2 = 256 [ANSWER]

x	y	x - y
0	1	-1
1	0	1
2	1	1
3	0	3
0	1	-1
	Sum(x-y) =	3