- #1

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**(a) Show that http://img187.imageshack.us/img187/8605/indexd1af5.gif [Broken]**

(b) Show that http://img516.imageshack.us/img516/351/indexd2aw6.gif [Broken] cannot be equal to [tex]\frac{\pi}{2}[/tex]

(b) Show that http://img516.imageshack.us/img516/351/indexd2aw6.gif [Broken] cannot be equal to [tex]\frac{\pi}{2}[/tex]

**I 'm not quiet sure what the question means by saying "show", What do I have to show? I appreciate your guidance and hints...**

My attempt at (a);

If [tex]m \leq f(x) \leq M [/tex] on [a,b] then http://img340.imageshack.us/img340/9103/indexd3wi0.gif [Broken]

We have

m = [tex](\sqrt{1 + 8}) = 3[/tex]

M = [tex](\sqrt{0 + 8}) = 2.8[/tex]

a = 1

b = 0

Thanks.

My attempt at (a);

If [tex]m \leq f(x) \leq M [/tex] on [a,b] then http://img340.imageshack.us/img340/9103/indexd3wi0.gif [Broken]

We have

m = [tex](\sqrt{1 + 8}) = 3[/tex]

M = [tex](\sqrt{0 + 8}) = 2.8[/tex]

a = 1

b = 0

Thanks.

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