Answered: a. On a rectangular cartesian…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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CHOOSE ONE.
a. On a rectangular cartesian coordinate system, sketch the parallelepiped having the vertices (1, 2, 3), (2, 3, 5), (−1, 2, −1), and (−2, 0, 1). Include labels on each vertex. Afterwards, determine its volume.

b. A force F is applied at the right endpoint P of a 10-foot bar. The force has magnitude of 20 lbs. and its direction angles is π/4 on each axis. Assuming that the bar is lying along the positive x axis, find the torque vector and its corresponding magnitude induced by F on the left endpoint O.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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