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Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0

Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0

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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Question
Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0Stsn/2. A) Distance =6 and Displacement= 2 B) Distance =6 and Displacement= -2 C) Distance =4 and Displacement= 2 D) None Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6t ² - 18t + 12 = 6(t - 1)(t - 2) on the time interval 0<t< 3. A) Distance =9 and Displacement= 11 B) Distance =11 and Displacement= 9 C) Distance =12 and Displacement= 9 D) None Use the Trapezoidal rule with step size Ar = 1 to appoximate the integral f(x)dr where a table of values for the function f(r) is given below. 0 1 2 3 f(T) 2 1 2 3 5 4 A) 8 B) 9.5 C)11.5 D) None For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. | S(x) dx 0356 8 f(x) | 6 5 4 35 C) 36 B)30 C) 38 D) None
Transcribed Image Text:Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0Stsn/2. A) Distance =6 and Displacement= 2 B) Distance =6 and Displacement= -2 C) Distance =4 and Displacement= 2 D) None Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6t ² - 18t + 12 = 6(t - 1)(t - 2) on the time interval 0<t< 3. A) Distance =9 and Displacement= 11 B) Distance =11 and Displacement= 9 C) Distance =12 and Displacement= 9 D) None Use the Trapezoidal rule with step size Ar = 1 to appoximate the integral f(x)dr where a table of values for the function f(r) is given below. 0 1 2 3 f(T) 2 1 2 3 5 4 A) 8 B) 9.5 C)11.5 D) None For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. | S(x) dx 0356 8 f(x) | 6 5 4 35 C) 36 B)30 C) 38 D) None
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