Mathematical Problems

  1. Find the derivative. Simplify where possible.

y = sech x ( 1 + ln sech x)

 

2. A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500

at 4 %. In order to have a yearly income of $ 500, he must invest the

remainder at:

 

3. The voltage (in volts) measured on a wire is given as: E=6.75 < 122degrees. Express this number in rectangular form.

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