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...
Related questions
Question
q14
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3d8eb92-3495-4ecf-8830-267c2ae6246a%2Fa70e62be-4b71-4ed0-881f-2f80954bcf5f%2F02ebqnr_processed.jpeg&w=3840&q=75)
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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