Determine whether the argument is an example of inductive reasoning or deductive reasoning. Every English setter likes to hunt. Duke is an English setter, so Duke likes to hunt.

Inductive or Deductive


Answer: Deductive

We reach a conclusion (that Duke, the setter, likes to hunt ) by applying a general principle (setters like to hunt).

This is deductive reasoning.

Mathematics

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Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem     on an interval I, must   for every x in I? Justify the answer.

A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function. B. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique. C. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term. D. There is not enough information given to determine if F(x) = G(x).

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A. 295 + 80
B. 325 + 80
C. 345 + 80
D. 345 - 80

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Solve the inequality. >  - 1 or  ? 

A. (-?, -14] B. {-14} C. ? D. (-?, ?)

Mathematics

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Mathematics