S: 7. → 7. × 7. g: 7. x 7 → Z 5.6.18. Consider the following functions: f(m) — (2m, т — 1) g(m, n) = |m · n| (a) Is f injective ? Explain. (b) Is g surjective? Explain.

Q: - Solve the equation z = x² + xy² when x = = 0, zz = y³ and when x = 2, z = y.

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Q: 6) (-1)" () 100

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Q: What is the common logaruthim for  Log10641.11?

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Q: Sean A, B, Cand Dinfinite sets such that A =Cand B= D. Consider the following sets: F = {f|f : A→ B ...

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Q: 12.) Find the general selution of each of the following PDE :- Ans. du ty du =3U

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Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 659 grams of the sample, how muc...

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A: T:P2→P2, Standard bases for P2 is β=1,x,x2T1=2x+1=1+2.x+0.x2T(x)=x2-1=-1.1+0.x+1.x2T(x2)=x2+2x=0+2.x...

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Q: 6. 4 Let A = and define T : R? → R? by T(x) = Ax. Find a -2 -1 basis B such that the matrix [T]s is ...

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Q: Find all possible ring homomorphisms o : Z10 --->Z15 (b) In each case identify the Kern

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Q: Find ordhogonal bor each ob the bollowing. unitary dagoralizeng an OY matrix

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