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Find the equation of the integral surface of the differential equation
(x^2 − yz) p + ( y^2 − zx) q = z^2 − xy
which passes through the line x =1, y = 0
(x^2 − yz) p + ( y^2 − zx) q = z^2 − xy
which passes through the line x =1, y = 0
Solve the following differential equations
(i) [D^3 − DD′^2 − D^2 + DD′] z = 0
(ii) [D^4 − D′^4 − 2D^2 D′^2 ] z = 0 .
(iii) [D^2 − 2DD′ + D′^2 ] z =12xy
(i) [D^3 − DD′^2 − D^2 + DD′] z = 0
(ii) [D^4 − D′^4 − 2D^2 D′^2 ] z = 0 .
(iii) [D^2 − 2DD′ + D′^2 ] z =12xy
a metal hallow bar whose cross section and dimensions weighs 8000 kg/cubic meter and measures 2 meter in length, determine the mass of the metal bar with a square hole section
Let A and B be two events associated with an experiment such that 4.0)A(P= and 7.0)BA(P=∪. Compute )B(P when i) A and B are mutually exclusive. ii) A and B are independent.
How to get a/c from a(k+j) = b+c
There are 50 fields in a village, sown with wheat and each is divided into 8 plots
of equal size. Out of the 50 fields, 5 are selected by SRSWOR method. Again
from each selected field, 2 plots are chosen by SRSWOR method. The yield in
kg/plot recorded is as given in the following table:
Selected Field - Plot-I - Plot-II
1 - 4⋅16 - 4⋅76
2 - 5⋅ 40 - 3⋅52
3 - 4⋅12 - 3⋅73
4 - 4⋅38 - 5⋅67
5 - 5⋅31 - 2⋅59
Estimate the average yield of all the 50 plots.
of equal size. Out of the 50 fields, 5 are selected by SRSWOR method. Again
from each selected field, 2 plots are chosen by SRSWOR method. The yield in
kg/plot recorded is as given in the following table:
Selected Field - Plot-I - Plot-II
1 - 4⋅16 - 4⋅76
2 - 5⋅ 40 - 3⋅52
3 - 4⋅12 - 3⋅73
4 - 4⋅38 - 5⋅67
5 - 5⋅31 - 2⋅59
Estimate the average yield of all the 50 plots.
20 samples each of size 10 were inspected. The number of defectives detected in
each of them is given below:
0, 1, 0, 3, 9, 2, 0, 7, 0, 1, 1, 0, 0, 3, 1, 0, 0, 2, 1, 0
Find the control limits for the number of defectives and establish quality standards
for the future. Plot the graph and interpret.
each of them is given below:
0, 1, 0, 3, 9, 2, 0, 7, 0, 1, 1, 0, 0, 3, 1, 0, 0, 2, 1, 0
Find the control limits for the number of defectives and establish quality standards
for the future. Plot the graph and interpret.
Math
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Math
https://www.tes.com/lessons/-gfKvd8pQoLDuQ/death-star-angles-worksheet-and-other-angles-work death star ting
State whether the following statements are true or false. Give reasons for your answer.
i) The rule given below is a function
f :{2, 3}®{4, 7}: f (2) = 4, f (2) = 7, f (3) = 7
ii) For two non-negative integers r and n s.t., r £ n
r
n
r
n
r
n C C C 1
1
+
−
+ =
iii) The normal curve for
= −¥ < < ¥
−
f e x
x
;
2
1 2
2
1
p
attains its maximum at x = 0 .
iv) The magnitude of a vector product u×v is equal to the area of a triangle having u and v as
two of its sides.
v) If X has the uniform distribution on [a, b] , then mean of X is
2
b − a
.
i) The rule given below is a function
f :{2, 3}®{4, 7}: f (2) = 4, f (2) = 7, f (3) = 7
ii) For two non-negative integers r and n s.t., r £ n
r
n
r
n
r
n C C C 1
1
+
−
+ =
iii) The normal curve for
= −¥ < < ¥
−
f e x
x
;
2
1 2
2
1
p
attains its maximum at x = 0 .
iv) The magnitude of a vector product u×v is equal to the area of a triangle having u and v as
two of its sides.
v) If X has the uniform distribution on [a, b] , then mean of X is
2
b − a
.
