Question: please answer in MATLAB please answer in MATLAB please answer in MATLAB Use at least one of the following commands to show that they are

please answer in MATLAB
please answer in MATLAB
please answer in MATLAB
please answer in MATLAB please answer in MATLAB please answer in MATLAB

Use at least one of the following commands to show that they are equal: expand, simplify, factor or collect. a. tan(3x)=13tan2(x)3tan(x)tan2(x) b. sin(x+y+z)=sin(x)cos(y)cos(z)+cos(x)sin(y)cos(z)+cos(x)cos(y)sin(z) sin(x)sin(y)sin(z) c. sin(4x)=8cos3(x)sin(x)4sin(x)cos(x) d. cos(x)cos(y)=21(cos(xy)+cos(x+y)) Problem 3 Define x and y as symbolic variables and create the two symbolic expression S=x+xy2+y4andT=xy2 Use symbolic operations to determine the simplest form of Q=ST. Use the subs command to evaluate the numerical value of the result of Q for x=9 and y=2. Use Q1 for the numerical value. Problem 4 (Bxtra Credit - 2 points) A cylindrical aluminum fuel tank has an outside diameter of 30 in. and a height of 50 in. The thickness of the wall is t, and the bottom and top ends are 25% thicker. The specific weight of aluminum is 165lb/ft. (SW = Weight/Volume). Determine t if the weight of the tank is 152lb. Hint: Use symbolic variable t to define the solume of the object. Use proper units

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