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In: Advanced Math

Each of the following 13 statements is either (always) True (T) or (sometimes) False (F). If...

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:_____

3|Page

13. If |? − 7| > 0 then ? > 7. Answer: _____

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