Problem 1 A large pizza of radius 15 in. is sliced into 8 delicious equal pieces (the normal way a pizza is cut). (a) What is the angle of the sharp end of each piece of pizza? (hint: all 8 sharp angles add up to 2 radians.) (b) How long is the crust for each piece? (c) A small mouse runs around the crust at 3 revolutions per second. In radians, what is the mouse's angular speed? (d) How fast is the mouse actually running (linear speed)?

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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Problem 1
A large pizza of radius 15 in. is sliced into 8 delicious equal pieces (the normal way a pizza is cut).
(a) What is the angle of the sharp end of each piece of pizza? (hint: all 8 sharp angles add up to
2 radians.)
(b) How long is the crust for each piece?
(c) A small mouse runs around the crust at 3 revolutions per second. In radians, what is the
mouse's angular speed?
(d) How fast is the mouse actually running (linear speed)?
Transcribed Image Text:Problem 1 A large pizza of radius 15 in. is sliced into 8 delicious equal pieces (the normal way a pizza is cut). (a) What is the angle of the sharp end of each piece of pizza? (hint: all 8 sharp angles add up to 2 radians.) (b) How long is the crust for each piece? (c) A small mouse runs around the crust at 3 revolutions per second. In radians, what is the mouse's angular speed? (d) How fast is the mouse actually running (linear speed)?
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