Provide an appropriate response.If a ? b, is it always true that a2 ? b2? Explain.

What will be an ideal response?


Explanations will vary. One possible answer:No. It is only true that a2 ? b2 if  ? . For example, it is true that -5 ? -3. However, it is not true that (-5)2 ? (-3)2 since 25 > 9.

Mathematics

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Multiply and simplify. ? 

A.
B.
C.
D. 120xy

Mathematics

Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these.[(p ? q) ? (q ? r)] ? (p ? r)

A. Self-contradiction B. Tautology C. Implication D. None of these

Mathematics

Assume that f is an even function, g is an odd function, and both f and g are defined on the entire real line. State whether the combination of functions (where defined) is even or odd.f ? f

A. Even B. Odd

Mathematics

Solve the problem.A coil of wire rotating in a magnetic field induces a voltage given by  where t is time in seconds. Find the smallest positive time to produce a voltage of 10.

A. 3.33 sec B. 3? sec C. 3 sec D. 3.33? sec

Mathematics