>
Exams
>
Engineering Mathematics
>
Integration by trapezoidal and Simpson’s rules
>
if the value of the double integral 4 x 3 2 y 1 dy
Question:
If the value of the double integral
\(\displaystyle\int^{4}_{x=3}\displaystyle\int^{2}_{y=1}\frac{dydx}{(x+y)^2}\)
is
\(\log e (\frac{a}{24})\)
, then a is ____ (answer in integer).
GATE Metallurgy - 2024
GATE Metallurgy
Updated On:
Dec 12, 2024
Hide Solution
Verified By Collegedunia
Correct Answer:
25
Solution and Explanation
The correct answer is:25 to 25
Download Solution in PDF
Was this answer helpful?
0
3
Questions Asked in GATE Metallurgy exam
A ram in the form of a rectangular body of size l=9m and b=2m is suspended by two parallel ropes of lengths 7m. Assume the center-of-mass of the body is at its geometric center and g = 9.81m/s
2
. For striking the object P with a horizontal velocity of 5m/s, what is the angle θ with the vertical from which the ram should be released from rest?
GATE Metallurgy - 2024
Forces on submerged bodies
View Solution
If x(t) satisfies the differential equation
\(t\frac{dx}{dt}+(t-x)=0\)
subject to the condition x(1) = 0, then the value of x(2) is_____(rounded off to 2 decimal places).
GATE Metallurgy - 2024
Higher order linear ODEs with constant coefficients
View Solution
The value of the surface integral
\(\displaystyle\oiint_{s}zdxdy\)
where S is the external surface of the sphere x
2
+ y
2
+ z
2
= R
2
is
GATE Metallurgy - 2024
Vector identities
View Solution
A heat pump (H.P.) is driven by the work output of a heat engine (H.E.) as shown in the figure. The heat engine extracts 150 kJ of heat from the source at 1000 K. The heat pump absorbs heat from the ambient at 280 K and delivers heat to the room which is maintained at 300 K. Considering the combined system to be ideal, the total amount of heat delivered to the room together by the heat engine and heat pump is _____kJ (answer in integer).
GATE Metallurgy - 2024
I.C. Engines
View Solution
A set of jobs U, V, W, X, Y, Z arrive at time t = 0 to a production line consisting of two workstations in series. Each job must be processed by both workstations in sequence (i.e., the first followed by the second). The process times (in minutes) for each job on each workstation in the production line are given below.
Job
U
V
W
X
Y
Z
Workstation 1
5
7
3
4
6
8
Workstation 2
4
6
6
8
5
7
The sequence in which the jobs must be processed by the production line if the total makespan of production is to be minimized is
GATE Metallurgy - 2024
Principles of non-traditional machining processes
View Solution
View More Questions