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(b) Consider a tree of height y meters. Use the model above to find an expression for the approximate number of leaves on the tree. Give your answer in terms of y. This is an expression, so do not write n = in the answer field. Hint: Try to find a formula for your last answer in part (a) in terms of y only. Number of leaves on the tree: y(y - 3)²-(y-3)

(b) Consider a tree of height y meters. Use the model above to find an expression for the approximate number of leaves on the tree. Give your answer in terms of y. This is an expression, so do not write n = in the answer field. Hint: Try to find a formula for your last answer in part (a) in terms of y only. Number of leaves on the tree: y(y - 3)²-(y-3)

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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10B² - B. A tree of height y meters has approximately B branches, where B = y − 3. Each branch has approximately n leaves where n = (a) Consider a tree of height 10 meters. Use the model above to find each of the following. Approximate number of branches: 7 Approximate number of leaves on one branch: 483 Approximate number of leaves on the tree: 3381 (b) Consider a tree of height y meters. Use the model above to find an expression for the approximate number of leaves on the tree. Give your answer in terms of y. This is an expression, so do not write n = in the answer field. Hint: Try to find a formula for your last answer in part (a) in terms of y only. Number of leaves on the tree: y(y - 3)²-(y - 3)
Transcribed Image Text:10B² - B. A tree of height y meters has approximately B branches, where B = y − 3. Each branch has approximately n leaves where n = (a) Consider a tree of height 10 meters. Use the model above to find each of the following. Approximate number of branches: 7 Approximate number of leaves on one branch: 483 Approximate number of leaves on the tree: 3381 (b) Consider a tree of height y meters. Use the model above to find an expression for the approximate number of leaves on the tree. Give your answer in terms of y. This is an expression, so do not write n = in the answer field. Hint: Try to find a formula for your last answer in part (a) in terms of y only. Number of leaves on the tree: y(y - 3)²-(y - 3)
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