Complete the following steps in order to find a vector-valued function r(t) that satisfies the initial conditions r'(t) = 4e²ti +8e¹j and r(0) = 2i Step 1: Find the antiderivative: Step2: Evaluate the antiderivative at t = 0: Step3: Find the constant C: r(t) = S(4e²¹i + 8e¹j)dt =+C Final Answer: r(t) = = r(0) == 2i c=0

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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Complete the following steps in order to find a vector-valued function r(t) that satisfies the
initial conditions
r' (t) = 4e²ti + 8e¹ j and r(0) = 2i
Step 1: Find the antiderivative:
Step2: Evaluate the antiderivative at t = 0:
Step3: Find the constant C:
Final Answer: r(t)
r(t) = f(4e²ti + 8e¹ j)dt =+C
=
r(0) = [ 2i
c=0
C
Transcribed Image Text:Complete the following steps in order to find a vector-valued function r(t) that satisfies the initial conditions r' (t) = 4e²ti + 8e¹ j and r(0) = 2i Step 1: Find the antiderivative: Step2: Evaluate the antiderivative at t = 0: Step3: Find the constant C: Final Answer: r(t) r(t) = f(4e²ti + 8e¹ j)dt =+C = r(0) = [ 2i c=0 C
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