(b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x , the line y = x, the x-axis, between x= 0 and x= 6 through 27 radians %3D about x- axis.
(b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x , the line y = x, the x-axis, between x= 0 and x= 6 through 27 radians %3D about x- axis.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
Related questions
Question
100%
![(b)
Find the volume of the solid generated by revolving the region enclosed by the curve
y = 6x – x' , the line y = x, the x- axis, between x = 0 and x= 6
through 27 radians
about x- axis.
[4 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F971b6d55-a8c1-40e9-8e04-6fd23a96c8b0%2Ff8f18fbf-0faf-4001-b619-6a39a398af52%2Fgbhcpci_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b)
Find the volume of the solid generated by revolving the region enclosed by the curve
y = 6x – x' , the line y = x, the x- axis, between x = 0 and x= 6
through 27 radians
about x- axis.
[4 marks]
![Question 4
Under certain condition, the rate of formation of glucose is k times the remaining mass of
sucrose. At ary timet after the start of the reaction, the mass of glucose is x grams and the
dx
rate of increase of x is given by
= k(M – x).
dt
(a)
Given that when t = 0, x=0, solve the given differential equation
[5 marks]
(b)
When the amount of sucrose is M , show that t =
In
[3 marks]
k
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F971b6d55-a8c1-40e9-8e04-6fd23a96c8b0%2Ff8f18fbf-0faf-4001-b619-6a39a398af52%2Ffttcp2j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4
Under certain condition, the rate of formation of glucose is k times the remaining mass of
sucrose. At ary timet after the start of the reaction, the mass of glucose is x grams and the
dx
rate of increase of x is given by
= k(M – x).
dt
(a)
Given that when t = 0, x=0, solve the given differential equation
[5 marks]
(b)
When the amount of sucrose is M , show that t =
In
[3 marks]
k
3
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