Can you tell the difference between a turtle and a tortoise? Write a few lines.

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Solution

1) Turtles have a flat back whereas a tortoise do not have a flat back.

2) Turtles can live both on land and water whereas a tortoise live entirely above water.

3) Turtles are omnivorous whereas a tortoise is mostly herbivorous.

4) Turtle's shell is lighter than the tortoise.

5) A tortoise can live up to 150 years whereas a turtle can live up to 40 years.

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For any two sets A and B, prove that

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(ii) $A - (A \cap B) = A - B$

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(iv) $A \cup (B - A) = A \cup B$

(v) $(A - B) \cup (A \cap B) = A$

$A A$

$\times A A - ---------- -$

$A A$

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\frac{\sqrt{a} + \sqrt{a + n d}}{\sqrt{a} + \sqrt{a + d}} + \frac{\sqrt{a} + \sqrt{a + n d}}{\sqrt{a + d} + \sqrt{a + 2 d}} + \dots + \frac{\sqrt{a} + \sqrt{a + n d}}{\sqrt{a + (n - 1) d} + \sqrt{a + n d}}

{lim}_{h \to 0} \frac{(a + h)^{2} s i n (a + h) - a^{2} s i n a}{h} =

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