Arsingment (Diff Calculas 4 RoSingle Int.) Ini O n a plane AABC, find the maximum value of cos A cos B cosC.
Arsingment (Diff Calculas 4 RoSingle Int.) Ini O n a plane AABC, find the maximum value of cos A cos B cosC.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![4G
2:53 PM
l 95
•..
< maths
3/4/22, 1:09 PM
Multiple Int 001.jpg
Arsingment (Diff Calculas f BOSmgle Ind.)
O n a plane AABC, find the maximum value of cos A cos B cosC.
Find the minimum value of artby+cz subject to the
condition a?
c2
3 A tent on a gquare base of side x, has its sides vertical of
height y and the top is a regular þyramid of height h. Find
x and y
is to be minimum for the tent to have a given capacity.
O Find the neintuer minimum value of the function n²+y+2?
subject to the condition axtby +C2 = atb+c .
Irace the followirg curves
(a) y(x?+4a²) = sa3; (b) 2=
in terms of h, if the canvas
required for its costructión
%3D
a santo
%3D
cos o
☺ x=a(0+xine), y= a(1+ Cos@)
O Show that the volume of solid generated by the revolution
F the loop of x(x²+y²) =a(x²y³) about the x-axis is
2ra (legz-
Find the valume ef the solid formed by the revolution of
the area enclased by the curve xy=a(a-x) and its
asymptote about the yaris.
O Find the volume generated by sevolving akout x-axis , the
area cut off from the farabola 9y = 4(4x?) by the
line 4x+3y=12:
O Find the Rurface area of the solid generated by
sevolviy the cycloid x=a(0-8mo),y=a(rces0) about X-axis.
Find the surface of the kolid generated by the revelutjon
4 the astroid x=a cos3t, y=ann3t about the y-axis.
3), (using Angle integration)
https://classroom.google.com/c/NDQ2NDA1NDEWNZC2
1/1
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Transcribed Image Text:4G
2:53 PM
l 95
•..
< maths
3/4/22, 1:09 PM
Multiple Int 001.jpg
Arsingment (Diff Calculas f BOSmgle Ind.)
O n a plane AABC, find the maximum value of cos A cos B cosC.
Find the minimum value of artby+cz subject to the
condition a?
c2
3 A tent on a gquare base of side x, has its sides vertical of
height y and the top is a regular þyramid of height h. Find
x and y
is to be minimum for the tent to have a given capacity.
O Find the neintuer minimum value of the function n²+y+2?
subject to the condition axtby +C2 = atb+c .
Irace the followirg curves
(a) y(x?+4a²) = sa3; (b) 2=
in terms of h, if the canvas
required for its costructión
%3D
a santo
%3D
cos o
☺ x=a(0+xine), y= a(1+ Cos@)
O Show that the volume of solid generated by the revolution
F the loop of x(x²+y²) =a(x²y³) about the x-axis is
2ra (legz-
Find the valume ef the solid formed by the revolution of
the area enclased by the curve xy=a(a-x) and its
asymptote about the yaris.
O Find the volume generated by sevolving akout x-axis , the
area cut off from the farabola 9y = 4(4x?) by the
line 4x+3y=12:
O Find the Rurface area of the solid generated by
sevolviy the cycloid x=a(0-8mo),y=a(rces0) about X-axis.
Find the surface of the kolid generated by the revelutjon
4 the astroid x=a cos3t, y=ann3t about the y-axis.
3), (using Angle integration)
https://classroom.google.com/c/NDQ2NDA1NDEWNZC2
1/1
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