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7. Answer should be exact - no calculator approximation. 100 / [1 + e^(2x)] = 1. x = ? Hint: One simple - although non-standard

7.

Answer

should be exact - no calculator approximation.

100

/ [1 + e^(2x)] = 1. x = ?

Hint:

One simple - although non-standard - way to do it: notice that e^(2x) = 99.

8.

Answer

should be exact - no calculator approximation. ln x - 7 = 0.

x

= ?

10.

10a:

sin(pi/6) = ?

10b:

sin(5pi/6) = ?

10c:

sin (7pi/6) = ?

10d:

sin(11pi/6) = ?

10e:

Section 4.7, p.325, #52: cos(arcsin ) = ? ; This is used in Math 302.

{

arcsin is just another notation for the inverse of the sin function

when

the domain of the sin function is restricted to [-pi/2, pi/2]

in

order to make this "restricted" sin function one to one

and

hence invertible into another function: arcsin }

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