A cube with 35-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.) (a) Estimate the hydrostatic force on the top of the cube. (b) Estimate the hydrostatic force on one of the sides of the cube. N Let f(x) be the probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles. Explain the meaning of each integral. S0,000 (a) f(x) dx 20,000 The integral is the probability that a randomly chosen tire will have a lifetime under 50,000 miles. OThe integral is the probability that a randomly chosen tire will have a lifetime of at least 20,000 miles. OThe integral is the probability that a randomly chosen tire will have a lifetime of exactly 50,000 miles. The integral is the probability that a randomly chosen tire will have a lifetime between 20,000 and 50,000 miles. (b) f(x) dx 15,000 The integral is the probability that a randomly chosen tire will not wear out. The integral is the probability that a randomly chosen tire will have a lifetime of at least 15,000 miles. The integral is the probability that a randomly chosen tire will have a lifetime under 15,000 miles. The integral is the probability that a randomly chosen tire will have a lifetime of exactly 15,000 miles.
A cube with 35-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.) (a) Estimate the hydrostatic force on the top of the cube. (b) Estimate the hydrostatic force on one of the sides of the cube. N Let f(x) be the probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles. Explain the meaning of each integral. S0,000 (a) f(x) dx 20,000 The integral is the probability that a randomly chosen tire will have a lifetime under 50,000 miles. OThe integral is the probability that a randomly chosen tire will have a lifetime of at least 20,000 miles. OThe integral is the probability that a randomly chosen tire will have a lifetime of exactly 50,000 miles. The integral is the probability that a randomly chosen tire will have a lifetime between 20,000 and 50,000 miles. (b) f(x) dx 15,000 The integral is the probability that a randomly chosen tire will not wear out. The integral is the probability that a randomly chosen tire will have a lifetime of at least 15,000 miles. The integral is the probability that a randomly chosen tire will have a lifetime under 15,000 miles. The integral is the probability that a randomly chosen tire will have a lifetime of exactly 15,000 miles.
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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Transcribed Image Text:A cube with 35-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity.
Recall that the weight density of water is 1000 kg/m3.)
(a) Estimate the hydrostatic force on the top of the cube.
(b) Estimate the hydrostatic force on one of the sides of the cube.
N
Transcribed Image Text:Let f(x) be the probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles. Explain the meaning of each integral.
S0,000
(a)
f(x) dx
20,000
The integral is the probability that a randomly chosen tire will have a lifetime under 50,000 miles.
OThe integral is the probability that a randomly chosen tire will have a lifetime of at least 20,000 miles.
OThe integral is the probability that a randomly chosen tire will have a lifetime of exactly 50,000 miles.
The integral is the probability that a randomly chosen tire will have a lifetime between 20,000 and 50,000 miles.
(b)
f(x) dx
15,000
The integral is the probability that a randomly chosen tire will not wear out.
The integral is the probability that a randomly chosen tire will have a lifetime of at least 15,000 miles.
The integral is the probability that a randomly chosen tire will have a lifetime under 15,000 miles.
The integral is the probability that a randomly chosen tire will have a lifetime of exactly 15,000 miles.
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