000RM.dvi

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6.It has been proved that an infinite number of triangles possess a
propertyQ.

StatementS: All triangles possess propertyQ.

Which of the following is necessarily correct?

ASis true, and no further proof is required.

BSis true, but proof is required.

CSis more likely to be true than false.

DSis more likely to be false than true.

E None of the above.

Answer:

7.Consider the following calculation (all logarithms to basee):

∫− 3

− 5

dx

x+1

= [log(x+1)]−−^35 (I)

[log(x+1)]−−^35 =log(−2)−log(−4) (II)

log(−2)−log(−4) = log

(

− 2

− 4

)

(III)

log

(

− 2

− 4

)

=−log 2 (IV)

In which line, if any, does thefirstmistake in the calculation occur?

A (I)

B (II)

C (III)

D (IV)

E None of these: it is correct.

Answer: