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When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a hemispherical glass 8 centimeters tall is full of pineapple juice, and the density of the juice, in grams per cubic centimeter, is given by 8(x, y, z) = 1-1 z for −8≤z≤0, where z = 0 corresponds to the top of the glass. Find the total mass m of the juice.

When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a hemispherical glass 8 centimeters tall is full of pineapple juice, and the density of the juice, in grams per cubic centimeter, is given by 8(x, y, z) = 1-1 z for −8≤z≤0, where z = 0 corresponds to the top of the glass. Find the total mass m of the juice.

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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37. When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a hemispherical glass 8 centimeters tall is full of pineapple juice, and the density of the juice, in grams per cubic centimeter, is given by d(x, y, z) = 1-1 z for -8≤z≤0, where z = 0 corresponds to the top of the glass. Find the total mass m of the juice.
Transcribed Image Text:37. When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a hemispherical glass 8 centimeters tall is full of pineapple juice, and the density of the juice, in grams per cubic centimeter, is given by d(x, y, z) = 1-1 z for -8≤z≤0, where z = 0 corresponds to the top of the glass. Find the total mass m of the juice.
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