In: Advanced Math
Each of the following 13 statements is either (always) True (T) or (sometimes) False (F). If your answer is sometimes False (F), please provide a counterexample; that is, give an example where the statement is not true. If it is always true, you need not give a proof; merely answer T.
1. ?(? + h) = ?(?) + ?(h)
Answer: _____
2. sin(? + ?) = sin(?) + sin(?)
Answer: _____
3. sin(? ∗ ?) = sin(?) ∗ sin(?)
Answer: _____
4. √((X)^2+(y)^2) =?+?
Answer:_____
5. (?+?)^2 =?^2 +?^2
Answer:_____
6. ?^? ∗ ?^?=?^(?+?)
Answer: _____
7. (?^?)^? = ?^(?+?)
Answer: _____
8. √?^2 = ?
Answer: _____
9. ?+?/b+x = ?/?
Answer: _____
10. −x represents a negative number
Answer: __F___
11. A square is a rectangle.
Answer: _____
12. If?,?≠0and?<?then1/b <1/a.
Answer:_____
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13. If |? − 7| > 0 then ? > 7. Answer: _____