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[D DD D DD ] z 0
3 2 2
− ′ − + ′ =
3 2 2
− ′ − + ′ =
The initial value problem
x y , )0(y 0
dx
dy 2 2
= + =
has a unique solution in some interval of the form − h < x < h .
x y , )0(y 0
dx
dy 2 2
= + =
has a unique solution in some interval of the form − h < x < h .
prove that
[1.2+2.3+....+n(n+1)]
-------------------------- _> (n+1)/4, for n_>1
n(n+3)
[1.2+2.3+....+n(n+1)]
-------------------------- _> (n+1)/4, for n_>1
n(n+3)
A website has on the average two hits per hour. Assuming a Poisson distribution for
the number of hits per hour (X), calculate the probability that there are at most three
hits.
the number of hits per hour (X), calculate the probability that there are at most three
hits.
Give an example, with justification, of a commutative subgroup of a non commutative
group.
group.
Define a relation R on Z , by R ={( ,n n + 3 k|)k ∈Z.
Check whether R is an equivalence relation or not. If it is, find all the distinct
equivalence classes. If R is not an equivalence relation, define an equivalence
relation on Z .
Check whether R is an equivalence relation or not. If it is, find all the distinct
equivalence classes. If R is not an equivalence relation, define an equivalence
relation on Z .
If f(x,y) = (x^1/4+y^1/4)/(x^1/5+y^1/5), then show that x×df/dx +y ×df/dy = 1/20 f(x,y) stating the result used.
A survey on a sample of students taking elementary Statistics was conducted.The data shown in Table 1 represents the current semester of each student. Please take note 1=Semester 1, 2=Semester 2, 3=Semester 3, 4=Semester 4, and 5=Other semester.
Table 1 / Jadual 1
4 3 3 2 2 1 2 3
2 1 1 2 4 5 3 3
2 1 3 2 4 1 1 2
3 4 2 2 1 2 1 2
1 3 2 2 1 1 4 3
4 5 1 3 4 3 2 1
1 2 2 1 1 2 1 3
3 2 1 1 1 2 1 4
a) Constructa frequency and relative frequency distribution table of the student’s (4)
Semester of study.
b) Construct a bar chart based on the frequency tablein (a). (4)
c) Hence given your comments based on the bar chart obtained in (b) (2)
Table 1 / Jadual 1
4 3 3 2 2 1 2 3
2 1 1 2 4 5 3 3
2 1 3 2 4 1 1 2
3 4 2 2 1 2 1 2
1 3 2 2 1 1 4 3
4 5 1 3 4 3 2 1
1 2 2 1 1 2 1 3
3 2 1 1 1 2 1 4
a) Constructa frequency and relative frequency distribution table of the student’s (4)
Semester of study.
b) Construct a bar chart based on the frequency tablein (a). (4)
c) Hence given your comments based on the bar chart obtained in (b) (2)
The following information relates to process 3, which receives inputs from Process 2, in Mighty Products Limited:
DETAILS Shs. Units
Transfers in from Process 2
Materials added, referred to as material 2
Labour costs:
Direct
Indirect
Overheads 300,000
230,000
50,000
55,600
50,400 10,000
-
40 hrs
60 hrs
-
During the period the above costs were incurred, 7,200 units of finished goods were transferred to stores. Normal loss is expected at 2% of all inputs.
The closing work in progress was 2000 units, which were 60% complete in all the relevant aspects. Material 2 is added at the beginning of the process.
Normal losses are complete in all aspects. They were sold for Sh.6,000.
There was no opening work in progress.
Required:
i) A process account
ii) The production statement
iii) The valuation of the closing work in progress
iv) An abnormal loss account.
DETAILS Shs. Units
Transfers in from Process 2
Materials added, referred to as material 2
Labour costs:
Direct
Indirect
Overheads 300,000
230,000
50,000
55,600
50,400 10,000
-
40 hrs
60 hrs
-
During the period the above costs were incurred, 7,200 units of finished goods were transferred to stores. Normal loss is expected at 2% of all inputs.
The closing work in progress was 2000 units, which were 60% complete in all the relevant aspects. Material 2 is added at the beginning of the process.
Normal losses are complete in all aspects. They were sold for Sh.6,000.
There was no opening work in progress.
Required:
i) A process account
ii) The production statement
iii) The valuation of the closing work in progress
iv) An abnormal loss account.
b) How can the overall goal of wealth maximization be maintained in view of the agency problem?
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#331389 on Nov 2022
#331389 on Nov 2022