Find the area of the surface. the part of the plane 4x + 4y + z = 16 that lies inside the cylinder x2 + y2 = 9
1 answer:
As a first step, convert to cylindrical coordinates. The equation
is a clue to set
then have
and
. Meanwhile, the plane equation tells you to use
So we parameterize the part of the plane within the cylinder with the vector-valued function
The surface integral giving the area of the surface is
where
denotes the surface in question, and the surface element
is
We have
So the area is
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6/y=9/5(due to similarity)
y=6*5/9=30/9=10/3=3.333..
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The answer & explanation for this question is given in the attachment below.
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
-5=2(-3)+b
-5=-6+b
1=b
Plug it in to get y=2x+1
Hey Jackigarcia141,
10^3
= 10 to the power of three
= 10 x 10 x 10
= <u>1000</u>
Hope this helps!
Chen :D