5. A square-based pyramid has a height that is twice its base length. a) Determine an equation to represent the volume of the pyramid, in terms of the base length. b) What are the domain and range of the function if the base must be at least 1 cm² and the volume cannot exceed 60 cm³? (2.5 14)
5. A square-based pyramid has a height that is twice its base length. a) Determine an equation to represent the volume of the pyramid, in terms of the base length. b) What are the domain and range of the function if the base must be at least 1 cm² and the volume cannot exceed 60 cm³? (2.5 14)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![5. A square-based pyramid has a height that is twice its base length.
a) Determine an equation to represent the volume of the pyramid, in terms of the base
length.
b) What are the domain and range of the function if the base must be at least 1 cm²
and the volume cannot exceed 60 cm³? (2.5 14)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93b39504-0840-4cfb-b71f-7c8fda93e0e8%2F4e8ac535-49cb-43a4-b13a-3b3eba72a8f9%2Fumuk4us_processed.png&w=3840&q=75)
Transcribed Image Text:5. A square-based pyramid has a height that is twice its base length.
a) Determine an equation to represent the volume of the pyramid, in terms of the base
length.
b) What are the domain and range of the function if the base must be at least 1 cm²
and the volume cannot exceed 60 cm³? (2.5 14)
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