(a) Calculate accurately how much water (in liters) the drinking trough contains when it is filled to the brim. (b) Precisely calculate the area (in dm²) of the rectangular plate from which the curved part of the drinking trough is made of.
(a) Calculate accurately how much water (in liters) the drinking trough contains when it is filled to the brim. (b) Precisely calculate the area (in dm²) of the rectangular plate from which the curved part of the drinking trough is made of.
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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Question
Pls do both parts correctly I have pasted some reference it might help you pls do both handwritten and dont paste the same
Transcribed Image Text:The figure shows a drinking trough for
animals. The trough is 20dm long. The
curved shape of the trough has the
form of a hyperbolic cosine, the equation
(see second figure) is y = cos h (x) - 1 with x
between -2 and 2 (in dm).
%3D
(a) Calculate accurately how much water (in
liters) the drinking trough contains when it is
filled to the brim.
(b) Precisely calculate the area (in dm²) of
the rectangular plate from which the curved
part of the drinking trough is made of.
Answers:
a) 20(e² + 3e^(-2)) liter
b) 20(e²-e^(-2)) dm?
![water
l =20 dm (length of trough)
20dmt
y. cash (x) - 1
(a) broy secton aree g though= A,
Let, Ay=y de
2
S cosh Cox) -1) doe
Aly = [Sinhf)]; - [x).;
[e -e"] - [2-(-2)]
-2
An= e?-e?-(¢) - 4
A e?-e-2_ 4
Az = Aree g lectangle - AT
consicder rectangle :
Y = cosk (2)-I
Y = e?+e?-1
Area of Reetanple
A 26e)- -e-e) - 4}
A1 = ez + 3e-2
2.
47 : 2(e²+e=) - 4
capacity og water : Volume of trouph
• lx A
20(e2+3e3)dm3
I am?= 1 liters}
Capacity of water
= 20 (e2+ 3e-2) liter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22838496-0258-4d5c-876c-e3e418ae27cb%2Fab549f69-325e-4473-a241-b32cbcbc2c79%2F1z4p4oy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:water
l =20 dm (length of trough)
20dmt
y. cash (x) - 1
(a) broy secton aree g though= A,
Let, Ay=y de
2
S cosh Cox) -1) doe
Aly = [Sinhf)]; - [x).;
[e -e"] - [2-(-2)]
-2
An= e?-e?-(¢) - 4
A e?-e-2_ 4
Az = Aree g lectangle - AT
consicder rectangle :
Y = cosk (2)-I
Y = e?+e?-1
Area of Reetanple
A 26e)- -e-e) - 4}
A1 = ez + 3e-2
2.
47 : 2(e²+e=) - 4
capacity og water : Volume of trouph
• lx A
20(e2+3e3)dm3
I am?= 1 liters}
Capacity of water
= 20 (e2+ 3e-2) liter
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