Sketch the yz-trace of the equation:
A)
B)
C)
D)

Question

Sketch the yz-trace of the equation: ​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​

Quizplus · Accepted Answer

The yz-trace of the equation means that we hold the x-coordinate constant at zero and sketch the curve in the yz-plane. In this case, we can simplify the equation to 8y^2+z^2=64, which represents an elliptical cylinder centered about the yz-plane with a major axis of length 8 along the y-axis and a minor axis of length 8 along the z-axis. The correct choice is C because it has the correct coefficients for the yz terms and matches the equation we simplified it to.

Sketch the Yz-Trace of the Equation: ​ ​

Sketch the Yz-Trace of the Equation: