For each part, first decide which of the three methods sections will most easily enable you to sketch the surface. These are the
generalized cylinder method, the surface of revolution method, and the method of slices (traces) for general quadric surfaces. Then apply that method to sketch the surface.
a. x^2 = 4z +8
b. x^2 - 4y^2 – 4z^2 = 16
c. y^2 = x^2 + 2z^2
a. x^2 = 4z +8
b. x^2 - 4y^2 – 4z^2 = 16
c. y^2 = x^2 + 2z^2
1 answer:
Answer:
Step-by-step explanation:
We use these three methods
1. Generalized cylinder method
2. Surface of revolution method
3. Method of slices general quadratic
1. For A = x² = 4z + 8
We use the method of slices for general quadratic
2. X²-4y²-4z² = 16
We use the generalized cylinder method
3. Y² = z² + 2z²
We use surface of revolution
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length = 3234 m and width = 1614 m
let the width = w then length = 2w + 6
Perimeter = 2 ( length + width )
= 2 (2w + 6 + w ) = 2 ( 3w + 6 ) = 6w + 12
given perimeter = 9696 the equating gives
6w + 12 = 9696
subtract 12 from both sides
6w = 9696 - 12 = 9684
divide both sides by 6
w = = 1614
width = 1614 m and length = (2 × 1614 ) + 6 = 3234 m