Find the exact value, if any, of the following composite function. If there is no value, say it is "not defined." Do not use a calculator. \( \tan ^{-1}\left[\tan \left(-\frac{3 \pi}{2}\right)\right] \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \( \tan ^{-1}\left[\tan \left(-\frac{3 \pi}{2}\right)\right]=\square \) (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.) B. Not defined

2. Find the shaded area when: a) \( r=6 \mathrm{~cm}, \theta=70^{\circ} \) b) \( r=14 \mathrm{~cm}, \theta=104^{\circ} \) c) \( r=5 \mathrm{~cm}, \theta=80^{\circ} \)

\( x-\frac{3}{4}=\frac{1}{12} \) С. \( \frac{2}{3} \)

A set of three scores consists of the values 2,5 , and 8. \( \Sigma 3 X-1=4 \) \( \Sigma(2 X)^{2}= \)

An inclined plane making an angle of \( 22^{\circ} \) with the horizontal has a pulley at its top. A \( 31-\mathrm{kg} \) block on the plane is connected to a freely hanging \( 21-\mathrm{kg} \) block by means of a cord passing over the pulley. Calculate the acceleration for the \( 21-\mathrm{kg} \) block. Take the friction coefficient between the block A and the plane to be 0.20 .

c) Evaluate the following integral using substitution: \( \int(2 x)\left(x^{2}+1\right)^{3} d x \)