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Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? %3D

Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? %3D

Calculus: Early Transcendentals
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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Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? ..... Choose the correct answer below. O A. The function r(t) = (f(t),g(t).h(t) is called a vector-valued function because the three dependent variables (x, y, and z) are components of r, and each component varies with respect to a single independent variable t. O B. The function r(t) = (f(t).g(t).h(t)) is called a vector-valued function because the dependent variable t is a component of r, and it varies with respect to three independent variables (x, y, and z). O C. The function r(t) = (f(t),g(t).h(t)) is called a vector-valued function because the components are parametric equations of a line in R° space, f(t) = x, + at, g(t) = Yo + bt, and h(t) =z, + ct for - 0o <t< oo.
Transcribed Image Text:Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? ..... Choose the correct answer below. O A. The function r(t) = (f(t),g(t).h(t) is called a vector-valued function because the three dependent variables (x, y, and z) are components of r, and each component varies with respect to a single independent variable t. O B. The function r(t) = (f(t).g(t).h(t)) is called a vector-valued function because the dependent variable t is a component of r, and it varies with respect to three independent variables (x, y, and z). O C. The function r(t) = (f(t),g(t).h(t)) is called a vector-valued function because the components are parametric equations of a line in R° space, f(t) = x, + at, g(t) = Yo + bt, and h(t) =z, + ct for - 0o <t< oo.
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