• 86. Sphereflake The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius are attached. To each of these, nine spheres of radius 5 are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area.

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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income be for working (a) 29 days, (b) 30 days, and (c) 31 days?
- • 86. Sphereflake
The sphereflake shown below is a computer-generated
fractal that was created by Eric Haines. The radius of the
large sphere is 1. To the large sphere, nine spheres of radius
3 are attached. To each of these, nine spheres of radius 5 are
attached. This process is continued infinitely. Prove that the
sphereflake has an infinite surface area.
Annuities In Exercises 87–90, consider making monthly
deposits of P dollars in a savings account at an annual interest
rate r. Use the results of Exercise 84 to find the balance A in
L vears when the interest is compoundec
Transcribed Image Text:income be for working (a) 29 days, (b) 30 days, and (c) 31 days? - • 86. Sphereflake The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius 3 are attached. To each of these, nine spheres of radius 5 are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area. Annuities In Exercises 87–90, consider making monthly deposits of P dollars in a savings account at an annual interest rate r. Use the results of Exercise 84 to find the balance A in L vears when the interest is compoundec
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