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2 answers:
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Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the is convergent
Therefore,
(a) The power series
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) -8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
The coordinates of A' are (6,6).
Step-by-step explanation:
It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).
If a point is rotated 90 ° clockwise about the point ( a,b ), then
It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.
The coordinates of A are (-1,3), So, the coordinates of A' are
Therefore the coordinates of A' are (6,6).
