z = px + qy +p² + pq +q².
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![[10]
Q1 Find the Singular solution of
z = px + qy + p² + pq + q².
[10]
Q2 Find the Volume cutoff from the cylinder x2 + y2 = 9 by the planes z = 0
and z = 5.
[12]
Q3 Verify Gauss Divergence Theorem for
F = (x³ – yz)i+ (y? – xz)j+ (z³ – xy)E
taken over a rectangular parallelepiped bounded by 0<x< a, 0 <y<
b and 0 <z <c.
Q4 | In the study of fingerprints, an important quantitative characteristic is the
[10]
total ridge count for the 10 fingers of an individual. Suppose that the total
ridge counts of individuals in a certain population are approximately
normally distributed with a mean of 140 and a standard deviation of 50.
Find the probability that an individual picked at random from this
population will have a ridge count of:
(i)
Between 200 and 250
(ii)
In a population of 10,000 people how many would you
expect to have a ridge count of 200 or more?
Q5 Find the general solution of the following differential equation, using the
[10]
method of undetermined coefficients.
d²y
dt2
dy
+5
+ 6y 7x2 + 11x + 9.
dt
Q6 Find the general solution of the following partial differential equation
[10]
(D31 7DDL 11n(?)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe292c0d0-db8c-4e11-afcc-40d010d91ebd%2F9414c7e2-a670-476b-9221-3fbae4e39542%2Fzewuna_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10]
Q1 Find the Singular solution of
z = px + qy + p² + pq + q².
[10]
Q2 Find the Volume cutoff from the cylinder x2 + y2 = 9 by the planes z = 0
and z = 5.
[12]
Q3 Verify Gauss Divergence Theorem for
F = (x³ – yz)i+ (y? – xz)j+ (z³ – xy)E
taken over a rectangular parallelepiped bounded by 0<x< a, 0 <y<
b and 0 <z <c.
Q4 | In the study of fingerprints, an important quantitative characteristic is the
[10]
total ridge count for the 10 fingers of an individual. Suppose that the total
ridge counts of individuals in a certain population are approximately
normally distributed with a mean of 140 and a standard deviation of 50.
Find the probability that an individual picked at random from this
population will have a ridge count of:
(i)
Between 200 and 250
(ii)
In a population of 10,000 people how many would you
expect to have a ridge count of 200 or more?
Q5 Find the general solution of the following differential equation, using the
[10]
method of undetermined coefficients.
d²y
dt2
dy
+5
+ 6y 7x2 + 11x + 9.
dt
Q6 Find the general solution of the following partial differential equation
[10]
(D31 7DDL 11n(?)
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