2) Use spherical coordinates to find the integral of f(x,y,z) = z over x^2 + y^2 + z^2 < 4 and x,y,z < 0
1 answer:
1. Denote by

the region bounded by the cylinder

and the planes

and

. Converting to cylindrical coordinates involves setting

and

is obtained by varying the parameters over

,

, and

. The volume element is

so the integral becomes

2. Now let

denote the region bounded by the sphere

and the coordinate planes in the octant in which each coordinate of the point

is negative.
Converting to spherical coordinates, we set

where we obtain

by varying over

,

, and

. The volume element is now

so the integral becomes
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Answer: 21.
Step-by-step explanation:
A bisector<span> is something that cuts an object into two equal parts by using rays.
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Both of this angles are same side interior angles which means both of this angles when added equal to 180 degrees
5x +15 + 3x - 3 = 180
8x - 12 = 180
+12 +12
8x = 192
x = 24
Answer:
a) x = 18
b) y = 35
c) t = 4.5
Step-by-step explanation:
a) x + x + x = 54
3x = 54
x = 54 ÷ 3
x = 18
b) y/5 = 7
(y/5) × 5 = 7 × 5
y = 35
c) 4t + 6 = 24
4t +6 - 6 = 24 -6
4t = 18
4t ÷ 4 = 18 ÷ 4
t = 4.5
If you mean in Roman numerals,it would be ___.VII. or it could be ((DCC))