Answer:
13013
Step-by-step explanation:
Express each number in terms of the product of prime numbers.
91 = 7 × 13
143 = 11 × 13
169 = 13 × 13
Now consider the maximum number of times each factor occurs for each number.
The factor 7 occurs once
The factor 11 occurs once
The factor 13 is repeated twice ( maximum number of times for 1 number )
Thus LCM = 7 × 11 × 13 × 13 = 13013
The cylinder is a clue to use cylindrical coordinates. Taking

and

, we then are forced to use

. So the parameterization of the intersection of the plane and cylinder is

To get the surface, we can introduce a second parameter

that "contracts" the elliptical intersection to a point. The simplest way to do this is to use

with

and

.
Answer:
53
Step-by-step explanation:
First of all you calculate the difference between the numbers:
10.5 - 10.653 = -0.153
10.5 - 10.592 = -0.092
10.5 - 10.732 = -0.232
10.5 - 10.484 = 0.016
You then select the difference with the smallest number (ignoring the positive and negative symbols). That happens to be the last one.
This means that the answer will be D) Spruce Trail.