4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H is the height. a. Find a formula for the differential volume dV. b. If the box measures 50.0 cm by 20.0 cm by 15.0 cm and each measurement has a maximum tolerance [dL, dW and dH] of 0.1 cm, what is the maximum tolerance in the volume? State it both as cubic centimeters and as a percentage of the volume.
4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H is the height. a. Find a formula for the differential volume dV. b. If the box measures 50.0 cm by 20.0 cm by 15.0 cm and each measurement has a maximum tolerance [dL, dW and dH] of 0.1 cm, what is the maximum tolerance in the volume? State it both as cubic centimeters and as a percentage of the volume.
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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![4. The volume V of a rectangular box is given by V = LWH where L is the length, Wis the width and
H is the height.
a. Find a formula for the differential volume dV.
b. If the box measures 50.0 cm by 20.0 cm by 15.0 cm and each measurement has a maximum
tolerance [dL, dW and dH] of 0.1 cm, what is the maximum tolerance in the volume? State it
both as cubic centimeters and as a percentage of the volume.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc303f822-5e20-4d30-8920-178170554c96%2Fb5158adf-c1e8-4f94-b2de-6342103603e6%2Fwnwbsel_processed.png&w=3840&q=75)
Transcribed Image Text:4. The volume V of a rectangular box is given by V = LWH where L is the length, Wis the width and
H is the height.
a. Find a formula for the differential volume dV.
b. If the box measures 50.0 cm by 20.0 cm by 15.0 cm and each measurement has a maximum
tolerance [dL, dW and dH] of 0.1 cm, what is the maximum tolerance in the volume? State it
both as cubic centimeters and as a percentage of the volume.
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