Show all work clearly, logically, and with correct format and notation. Label your work. Simplify all answers. \text { Given }-4 x^{2}+y^{2}+9 z^{2}=36 rewrite the equation into standard form and

identify the surface. (b) describe (name) and sketch the traces in the coordinate planes, (c) then use the traces to sketch the surface accurately. Use the standard way of labeling the x, y, and z axis (positive z-axis directed upwards). The sketch must be hand-drawn (not computer generated).