Parametrize the surface S.S is the cap cut from the paraboloid z = 
- 8x2 - 8y2 by the cone z = 
.
What will be an ideal response?
Answers will vary. One possibility is r = r cos ?i + r sin ?j + 
k , 0 ? r ? 
, 
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Suppose 
is a linear function of 
. The slope is 2.07. An increase of 7 units in 
causes what change in
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Provide an appropriate response.What is the first principle of perspective?
A. All parallel lines never intersect, they remain the same distance apart. B. All lines that are parallel in the real scene and perpendicular to the canvas must intersect at the principal vanishing point of the painting. C. All shapes and sizes must remain equal, regardless of their distance from the viewer. D. None of these.
Provide an appropriate response.When solving a system of equations, you get x - 2 = x - 2. How many solutions are there?
A. No solutions B. Infinitely many C. One solution
Simplify the complex rational expression.
A. 
B. 
C. 
D. 