Find the maximum and minimum values of the function \( g(\theta)=6 \theta-8 \sin (\theta) \) on the interval \( \left[0, \frac{\pi}{2}\right] \) Minimum value \( =\square \) Maximum value \( =\square \)

Find the integral. \( \int\left(x^{4 / 3}-3 x^{5 / 2}\right) d x \)

\( y ( 0 ) = 3 , \quad y ^ { \prime } ( 0 ) = - 3 \)

Find the integral. \( \int\left(x^{4 / 3}-3 x^{5 / 2}\right) d x \) A. \( \frac{3}{4} x^{7 / 3}-\frac{4}{7} x^{7 / 2}+C \) B. \( \frac{3}{7} x^{7 / 3}-\frac{2}{7} x^{7 / 2}+C \) C. \( \frac{3}{7} x^{7 / 3}-\frac{6}{7} x^{7 / 2}+C \) D. \( \frac{3}{4} x^{7 / 3}-\frac{3}{7} x^{7 / 2}+C \)

\( \int _ { 1 } ^ { 2 } \int _ { 2 } ^ { 3 } e ^ { x + y } d x d y = e ^ { A } - B e ^ { 4 } + e ^ { C } \)

Evaluate the definite integral. \( \int_{-1}^{2}(x+4) d x \)