The volume of a right circular cone with radius r and height h is V= arh/3. a. Approximate the change in the volume of the cone when the radius changes from r= 5.9 to r= 6.3 and the height changes from h= 4.00 to h = 3.96. b. Approximate the change in the volume of the cone when the radius changes from r= 6.23 to r= 6.14 and the height changes from h = 14.0 to h = 13.96.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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The volume of a right circular cone with radius r and height h is V= Tr h/3.
a. Approximate the change in the volume of the cone when the radius changes from r= 5.9 to r= 6.3 and the height changes from
h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r= 6.23 to r= 6.14 and the height changes from
h = 14.0 to h= 13.96.
a. The approximate change in volume is dV =
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:The volume of a right circular cone with radius r and height h is V= Tr h/3. a. Approximate the change in the volume of the cone when the radius changes from r= 5.9 to r= 6.3 and the height changes from h = 4.00 to h = 3.96. b. Approximate the change in the volume of the cone when the radius changes from r= 6.23 to r= 6.14 and the height changes from h = 14.0 to h= 13.96. a. The approximate change in volume is dV = (Type an integer or decimal rounded to two decimal places as needed.)
Use differentials to approximate the change in z for the given change in the independent variables.
z = In (x°y) when (x,y) changes from (- 2,5) to (- 1.97,4.97)
.....
dz =
(Type an integer or a decimal.)
Transcribed Image Text:Use differentials to approximate the change in z for the given change in the independent variables. z = In (x°y) when (x,y) changes from (- 2,5) to (- 1.97,4.97) ..... dz = (Type an integer or a decimal.)
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