Two urns contain white balls and yellow balls. The first urn contains 5 white balls and 8 yellow balls and the second urn contai
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Answer:
Radius of convergence of power series is
Step-by-step explanation:
Given that:
n!! = 1⋅3⋅5⋅⋅⋅⋅(n−2)⋅n n is odd
n!! = 2⋅4⋅6⋅⋅⋅⋅(n−2)⋅n n is even
(-1)!! = 0!! = 1
We have to find the radius of convergence of power series:
Power series centered at x = a is:
Applying the ratio test:
Applying n → ∞
The numerator as well denominator of are polynomials of fifth degree with leading coefficients:
Given:
Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.
To find:
The area of the remaining tin.
Solution:
Area of a square is:
Where, a is the edge of the square.
Area of the smaller square is:
Area of the larger square is:
The area of the remaining tin is:
Therefore, the area of the remaining tin is 26 sq. cm.