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Magazine Problem 327
For the following exercises, rewrite the given equation of the quadric surface in standard form. Identify the surface. $$ 5 x^{2}-4 y^{2}+20 z^{2}=0 $$
Problem 328
For the following exercises, rewrite the given equation of the quadric surface in standard form. Identify the surface. $$ 5 x^{2}-4 y^{2}+20 z^{2}=0 $$
Problem 329
For the following exercises, rewrite the given equation of the quadric surface in standard form. Identify the surface. $$ 6 x=3 y^{2}+2 z^{2} $$
Problem 330
For the following exercises, rewrite the given equation of the quadric surface in standard form. Identify the surface. $$ 49 y=x^{2}+7 z^{2} $$
Problem 331
For the following exercises, find the trace of the given quadric surface in the specified plane of coordinates and sketch it. $$ x^{2}+z^{2}+4 y=0, z=0 $$
Problem 332
For the following exercises, find the trace of the given quadric surface in the specified plane of coordinates and sketch it. $$ x^{2}+z^{2}+4 y=0, x=0 $$
Problem 333
For the following exercises, find the trace of the given quadric surface in the specified plane of coordinates and sketch it. $$ -4 x^{2}+25 y^{2}+z^{2}=100, x=0 $$
Problem 334
For the following exercises, find the trace of the given quadric surface in the specified plane of coordinates and sketch it. $$ -4 x^{2}+25 y^{2}+z^{2}=100, y=0 $$
Problem 335
For the following exercises, find the trace of the given quadric surface in the specified plane of coordinates and sketch it. $$ x^{2}+\frac{y^{2}}{4}+\frac{z^{2}}{100}=1, x=0 $$
Problem 336
For the following exercises, find the trace of the given quadric surface in the specified plane of coordinates and sketch it. $$ x^{2}-y-z^{2}=1, y=0 $$
