11. Let F: R² R² be defined by F(1,0) = (2,4) and F(0, 1) = (5,8). Find → the matrix A representing F with respect to the usual basis of R².

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Q: >) Find the sum to infinity of the series 3 1² +2²x¹ +3² + x² +4²x³ + ....... inf.

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Q: Solve the following system W+x+y+4z=0 W+x+5z = 0 2w+x+3y + 4z=0 w-3x+2y-9z=0

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Q: Find the 100th derivative of the equation y = 99x⁹9⁹.

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Q: 4. Let the function f: R - {2} → R be defined by f(x) x-5 2x - 3 Prove that ran(f) = R-{}}.

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A: We have to solve 11 modulo 82 Remember : 82÷11=7    R511÷5=2      R15÷1=5        R0 (R=Remainder)

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Q: Consider the sets A = {1, 2, 3, 4} and B = {a, b, c, d}, and the relations σ = {(1, b), (2, c), (3,…

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Q: Question 3. Two biologists make two different estimates of how many fish live in a small lake.…

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