Problem seven I need to know how to write the code

5. Use the commands from Section 11.2 to show that (a) sin 3r=3sinx_4sin 6. Use the commands from Section 11.2 to show that: tan(3x)=3tar"-tana sin(x+y+z)=sin x cosy cos z +cos x sin y cos z (a) 1-3tanx (b) + cos x cos y sin z-sin x sin y sinz 7./ In rectangular coordinates the equa 2y-1 tion of the hyperbola shown in the fig-3 ure is given by: (a) Use MATLAB to show that in > parametric form the equation of 1 the hyperbola can be written as: 2 -3 3 2 1012 3 -1 -1 (b) Make a plot of the hyperbola for the domain shown in the figure by using the ezplot command. 8. A water tank has the geometry shown in the figure (the upper section is a cylinder with radius r and height h, and the lower section is a cone with radius r and a height of 2r). Determine the radius r it h 20 in, and the volume is 7,000 in. (Write an equation for the volume in terms of the radius and the height. Solve the equation for the Show @M1518.mlx ^ Ix 3:08 P