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strojnjashka [21]
4 years ago
6

J={x|x is an integer and x>-1}

Mathematics
1 answer:
Digiron [165]4 years ago
8 0
The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.

Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.
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Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, a
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Answer:

  • (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
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Step-by-step explanation:

We want ...

  c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0

Substituting for the fn function values, we have ...

  c1·x +c2·x² +c3·(2x -4x²) ≡ 0

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Then for any parameter t, including the "trivial" t=0, ...

  (c1, c2, c3) = (-2t, 4t, t)

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f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)

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