Find the amplitude, period, and phase shift of the function. \( y=4 \sin (3 x-\pi) \)

6. \( \left(4 x^{2}\right)^{\frac{3}{2}} \)

Let \( F(x)=x^{2}-2 \) and \( G(x)=3-x \)

Solve by using midpoint method \( (\sqrt{2}, 3 \sqrt{5})(\sqrt{2}-2 \sqrt{5}) \)

On Planet \( X \), a rock is thrown upward with an initial velocity of \( 16 \mathrm{~m} / \mathrm{s} \) from a plateau 26 meters high. Assume the acceleration due to gravity on Planet X is \( 6.6 \mathrm{~m} / \mathrm{s}^{2} \) (downward toward the planet.) Complete parts a. and b . a. Find the velocity of the rock 5 seconds into its flight. Use a positive sign for upward velocity and a negative sign for downward velocity. \( v(5)=\square \)

b) One wall of a house consists of plywood backed by insulation. The thickness of plywood is \( (0.019 \mathrm{~m}) \) and that of insulation is \( (0.076 \mathrm{~m}) \). The inside temperature is \( 25^{\circ} \mathrm{C} \) and outside is \( 4^{\circ} \mathrm{C} \). The thermal conductivities of the insulation and plywood are, respectively, 0.030 and \( 0.080 \mathrm{~J} /\left(\mathrm{s} \cdot \mathrm{m} \cdot{ }^{\circ} \mathrm{C}\right) \), and the area of the wall is \( 35 \mathrm{~m}^{2} \). Calculate the amount of heat conducted through the wall in 1 hour.