Problems for Labs
1.Find the exact values of
a cosh−ln3 b csch−2
−1 2 −1
c tanh 3 d cosh 3
2.If sinhln x 12 , find the exact values of
i x ii tanhlnx
3.If tanh − 2 , find the exact values of sinh, cosh, csch ,
sech, and coth.
4.Find the derivatives of each of the following functions. Simplify your answer.
a f x xsinh x − 1 x .
b g x tanh sinx tan sinhx.
5.The current in an electric system is decreasing at a rate of 5 amperes / s while the
voltage remains constant at 9 volts.Find the rate of change of the resistance R when
the current is 18 amperes.
The voltage V in volts , the resistance R in ohmms, and the current I in amperes are
related by the formula V I R.
6.Newton’s universal law of gravitation states that the bodied of masses m and1m at a 2
distance r unites apart exert a force of attraction F on each other given by the formula
G m 1 2