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:
c. the solution is 3 times as large as 5x(465x4)
Step-by-step explanation:
I assume you are using the letter x as the multiplication sign.
Start with:
15 x (465 x 4)
We know that 15 = 3 x 5
Now we replace 15 with 3 x 5 in the original expression.
15 x (465 x 4) = 3 x 5 x (465 x 4)
Answer: c. the solution is 3 times as large as 5x(465x4)
Yes, that is factual I believe.
Answer:

Step-by-step explanation:
- the given expression is : −4≤11−3x
- we use following operations to solve the inequality:
- by adding 4 on both sides, the inequality will become :
-4+4 ≤ 11-3x +4
0 ≤ 15 -3x
- adding 3x on both sides, the inequality will become:
3x ≤ 15
- dividing both the sides of the inequality by 3, the inequality will become:
3x/3 ≤ 15/3
x ≤ 5 ( since, 15/3 = 5)
- therefore the solution for x as an inequality will be x ≤ 5