Suppose that Cane's Sauce is dispensed into plastic condiment cups with radius one (1) inch and height one (1) inch. At what rate does the height of sauce increase if sauce is dispensed at a rate of 1½½ inches³ / second? Assume the cups are 2 cylindrical. The volume of a cylinder is V = πr²h. dh = dt 1½½ in / sec dh dt = л in /sec dh 1 = dt 2π in / sec dh dt = Π 2) in / sec Previous Page Next Page Page 24 of 25 Evaluate the limit: lim x+7 sin x 1 ☐ 7 2 4 x→0 Previous Page Next Page sin 4x Submit Quiz 0 of 25 questions saved

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...
Question
Suppose that Cane's Sauce is dispensed into plastic condiment cups with radius one
(1) inch and height one (1) inch. At what rate does the height of sauce increase if
sauce is dispensed at a rate of
1½½ inches³ / second? Assume the cups are
2
cylindrical. The volume of a cylinder is V
= πr²h.
dh
=
dt
1½½ in / sec
dh
dt
= л in /sec
dh
1
=
dt
2π
in / sec
dh
dt
=
Π
2) in / sec
Previous Page
Next Page
Page 24 of 25
Transcribed Image Text:Suppose that Cane's Sauce is dispensed into plastic condiment cups with radius one (1) inch and height one (1) inch. At what rate does the height of sauce increase if sauce is dispensed at a rate of 1½½ inches³ / second? Assume the cups are 2 cylindrical. The volume of a cylinder is V = πr²h. dh = dt 1½½ in / sec dh dt = л in /sec dh 1 = dt 2π in / sec dh dt = Π 2) in / sec Previous Page Next Page Page 24 of 25
Evaluate the limit: lim x+7 sin x
1
☐ 7
2
4
x→0
Previous Page
Next Page
sin 4x
Submit Quiz
0 of 25 questions saved
Transcribed Image Text:Evaluate the limit: lim x+7 sin x 1 ☐ 7 2 4 x→0 Previous Page Next Page sin 4x Submit Quiz 0 of 25 questions saved
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