Write the differential for y = (3x − 1)³. 2 dy = 9(x − 1)² dx - - О dy = 9(3x − 1)² dx - О dy = (9x − 3)² dx – 2 dy = 3(3x − 1)² dx - 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 1½ inches³ / second? Assume the cups are 2 cylindrical. The volume of a cylinder is V = πr 2 h. dh 1 = dt 2π in / sec dh Π dt 2 in / sec dh dt = л in /sec dh dt 2 11 in / sec

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Write the differential for y = (3x − 1)³.
2
dy = 9(x − 1)² dx
-
-
О
dy = 9(3x − 1)² dx
-
О
dy = (9x − 3)² dx
–
2
dy = 3(3x − 1)² dx
-
Transcribed Image Text:Write the differential for y = (3x − 1)³. 2 dy = 9(x − 1)² dx - - О dy = 9(3x − 1)² dx - О dy = (9x − 3)² dx – 2 dy = 3(3x − 1)² dx -
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
1½ inches³ / second? Assume the cups are
2
cylindrical. The volume of a cylinder is V = πr 2 h.
dh
1
=
dt
2π
in / sec
dh
Π
dt
2
in / sec
dh
dt
= л in /sec
dh
dt
2
11 in / sec
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 1½ inches³ / second? Assume the cups are 2 cylindrical. The volume of a cylinder is V = πr 2 h. dh 1 = dt 2π in / sec dh Π dt 2 in / sec dh dt = л in /sec dh dt 2 11 in / sec
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