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(0, t<0 -1, 0≤t <2 5, 2 < t <4¹ 3, t> 4 1. Write the function in terms of unit step function f(t)= Consider the function f(t) (Notation: write u(t-c) for the Heaviside step function u.(t) with step at t = c. For example, us (t) should be entered as u(t - 5) 2. Find the Laplace transform of f(t) F(s) =

(0, t<0 -1, 0≤t <2 5, 2 < t <4¹ 3, t> 4 1. Write the function in terms of unit step function f(t)= Consider the function f(t) (Notation: write u(t-c) for the Heaviside step function u.(t) with step at t = c. For example, us (t) should be entered as u(t - 5) 2. Find the Laplace transform of f(t) F(s) =

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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Consider the function f(t) -1, 5, 3, t<0 0≤t<2 2 < t < 4¹ t> 4 1. Write the function in terms of unit step function f(t) = (Notation: write u(t-c) for the Heaviside step function u(t) with step at t = c. For example, us (t) should be entered as u(t – 5).) 2. Find the Laplace transform of f(t) F(8) =
Transcribed Image Text:Consider the function f(t) -1, 5, 3, t<0 0≤t<2 2 < t < 4¹ t> 4 1. Write the function in terms of unit step function f(t) = (Notation: write u(t-c) for the Heaviside step function u(t) with step at t = c. For example, us (t) should be entered as u(t – 5).) 2. Find the Laplace transform of f(t) F(8) =
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