can you answer  e) f)  g)

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...
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e)

f) 

g)

 

 

line
Civen
cave
>y=
H-X
to
2
dav= (y2-4,7 dx
» Here, I showed two Area of elements ie both Howzontal 6
va tical.
-> A bove x- anis Cugve dents
ge VY :6 below u-an's
denotes y=-V%
.'. length (4an)
width (dy)
>> Area dimentions of hoti zontal elemet
e) dAv= (y2-4,u * 2
dav= ( tra-o) x 2 dx
(2 is used because habf of
the area of Cusve Considered)
ale
Holi Zontel arla , e lemeut
dAu =\*2-x,) dy = (4-x) dy
dAH
(: xc ug?)
2
d) tero
vertical element
by
dA v=2.( S%)z
*S dav= dx
4
3/2
312
A =
[2²•]
A=8%/3
3
3.
さ、
Transcribed Image Text:line Civen cave >y= H-X to 2 dav= (y2-4,7 dx » Here, I showed two Area of elements ie both Howzontal 6 va tical. -> A bove x- anis Cugve dents ge VY :6 below u-an's denotes y=-V% .'. length (4an) width (dy) >> Area dimentions of hoti zontal elemet e) dAv= (y2-4,u * 2 dav= ( tra-o) x 2 dx (2 is used because habf of the area of Cusve Considered) ale Holi Zontel arla , e lemeut dAu =\*2-x,) dy = (4-x) dy dAH (: xc ug?) 2 d) tero vertical element by dA v=2.( S%)z *S dav= dx 4 3/2 312 A = [2²•] A=8%/3 3 3. さ、
1
A 2D plate in the 1st quadrant is bounded by X-axis, the curve y?
4
and x =
4
Follow the Algorithm for full marks:
(25 marks)
a) Make a CLEAR NEAT LARGE SKETCH of the plate,
show vertical and horizontal elements of area on it (4marks)
b) On the sketch show dimensions of both elements and
the arm length for each element.
c) Write the differentials of the Area
(2marks)
d) Find the Area of the plate by either element
e) Find the coordinates of the Centroid of the plate
f)
(3 marks)
(3 marks)
(6 mark)
Find the Moment of Inertia of the plate
with respect to X-axis
g) Find the Radius of Gyration of the plate
with respect to X-axis
(5 marks)
(2 mark)
४
Transcribed Image Text:1 A 2D plate in the 1st quadrant is bounded by X-axis, the curve y? 4 and x = 4 Follow the Algorithm for full marks: (25 marks) a) Make a CLEAR NEAT LARGE SKETCH of the plate, show vertical and horizontal elements of area on it (4marks) b) On the sketch show dimensions of both elements and the arm length for each element. c) Write the differentials of the Area (2marks) d) Find the Area of the plate by either element e) Find the coordinates of the Centroid of the plate f) (3 marks) (3 marks) (6 mark) Find the Moment of Inertia of the plate with respect to X-axis g) Find the Radius of Gyration of the plate with respect to X-axis (5 marks) (2 mark) ४
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