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origin. The area density of the metal only depends on x, and is given by an unknown function p( measured in meters and p(x) measured in kg/m2. The density is measured at a few locations in the plate, as given below: 1.5 3 4.5 p(x) 2.2 2.1 2.3 2.6 2.9 Use Simpson's Rule to approximate the total mass of the plate. Hint: Set up an integral for the mass in terms of p(x) first. Use Simpson's Rule to approximate integral.

origin. The area density of the metal only depends on x, and is given by an unknown function p( measured in meters and p(x) measured in kg/m2. The density is measured at a few locations in the plate, as given below: 1.5 3 4.5 p(x) 2.2 2.1 2.3 2.6 2.9 Use Simpson's Rule to approximate the total mass of the plate. Hint: Set up an integral for the mass in terms of p(x) first. Use Simpson's Rule to approximate integral.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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A thin metal plate is shaped like a semicircle of radius 6 meters in the right half-plane, centered at the origin. The area density of the metal only depends on x, and is given by an unknown function p(x), with x measured in meters and p(x) measured in kg/m2. The density is measured at a few locations in the plate, as given below: 1.5 3 4.5 p(x) 2.6 2.9 2.2 2.1 2.3 Use Simpson's Rule to approximate the total mass of the plate. Hint: Set up an integral for the mass in terms of p(x) first. Use Simpson's Rule to approximate this integral.
Transcribed Image Text:A thin metal plate is shaped like a semicircle of radius 6 meters in the right half-plane, centered at the origin. The area density of the metal only depends on x, and is given by an unknown function p(x), with x measured in meters and p(x) measured in kg/m2. The density is measured at a few locations in the plate, as given below: 1.5 3 4.5 p(x) 2.6 2.9 2.2 2.1 2.3 Use Simpson's Rule to approximate the total mass of the plate. Hint: Set up an integral for the mass in terms of p(x) first. Use Simpson's Rule to approximate this integral.
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