Question

Scorpion gulch & western railway is preparing to build a new line through rolling mountains. they have hired you to do some calculations for tunnels and bridges needed on the line. you set up a cartesian coordinate system with

Answer 1

The question is about mathematical calculations needed for engineering tasks such as designing tunnels and bridges for a new railway line through mountainous terrain, which involves geometry and calculus.

Step-by-step explanation:

The subject of the question is Mathematics, specifically real-world applications of geometry and calculus related to construction and engineering. Although the question is presented in a narrative form, the reference to 'calculations for tunnels and bridges' along a new railway line suggests problems that would likely involve geometric measurements and possibly optimization calculations using calculus for determining the most efficient construction methods. The student is likely to deal with tasks like measuring distances, calculating gradients, volumes, areas of cross-sections of tunnels, and optimizing material use for bridges within a mountainous terrain.

Answer 2

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length. This can be used to build a new line through mountains.