The curve
intersect the paraboloid
at
and 
Further explanation:
Given:
The equation of the curve 
The equation of the paraboloid 
Explanation:
From theequation of the curve 
The value of
is
and the value of
is
and the equation of
is 
Substitute
for
,
for
and
in equation of the paraboloid

The value of
can be obtained as follows,

The value of
is
and the value of z can be obtained as follows,

The curve
intersect the paraboloid
at
and 
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
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- Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Intersecting curves
Keywords: Points, curve, intersects,
paraboloid, not, exist,
, at what.