Solve your IGNOU Doubts

Question:

Derive the reduction formula

$\int \left ( X ^{2}+a^{2}\right )^{n/2} dX=\frac{X(X^{2}+a^{2})^{n/2}}{n+1}+ \frac{na^{2}}{n+1}\int (X^{2}+a^{2})^{\frac{n}{2}-1}dx$

Use the formula to integrate $\int (X^{2}+a^{2})^{5/2}$

(Hint: Integrating by parts, $\int(X^{2}+a^{2})^{n/2}dX=X(X^{2}+a^{2})^{n/2}-n\int (X^{2}+a^{2})(X^{2}+a^{2})^{\frac{n}{2}-1}dx+na^{2}\int \left ( X ^{2}+a^{2}\right )^{\frac{n}{2}-1}dx)$

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Question:

^{find the length off the portion of the parabola cut off by the line}

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Question:

c) integrant

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Question:

Post the following transactions of a software development company to prepare the journal, ledger and trial balance

March 2020	Transaction	Amount
5th March	Started business with cash	4,50000.00
10 March	Deposited In the bank	1,00000.00
15 March	Purchased computers on credit	2,00000.00
18 March	Purchased s/w and peripheral devices on credit	1,30000.00
20 March	Purchase Furniture for cash	60,000.00
22 March	Sold s/w for cash	90,000.00
25 March	Sold s/w on credit	55,000.00
27 March	Paid salary to staff	60,000.00
31 March	Paid rent	40,000.00

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Question:

b) Integrate

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Question:

Draw an E-R diagram and its related normalized tables

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Question:

Draw Data Flow Diagrams (Level 0 and Level 1)

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Question:

Develop SRS

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Question:

A Software company wants to develop taxi booking app having the following features :

Registration/login
Real-time tracking
Navigation feature
End of the trip option
Different stop option
Cash payment option
Estimated time of arrival
Features to calculate the price before boarding
Review and rating system

Do the following tasks:

(1) Draw an use case diagram (2 Marks)

(2) Define all classes and the class diagram (4 Marks)

(3) Draw a simple object model (4 Marks)

(4) Draw a state transition diagram (3 Marks)

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Question:

Use integration by parts to integrate $\int xsec x tan x dx$

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Question:

“Efficient cash management will aim at maximizing the cash inflows and showing cash outflows” Discuss.

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Question:

“For most investment decisions that a firm faces, NPV is either a superior decision criterion, or is at least as good as the competing techniques.” In what investment situation is the profitability index better than the NPV?

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Question:

Describe the main ratios which you consider significant while interpreting the published accounts of a Company and explain the inferences which may be drawn from them.

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Question:

Following are the balance sheets of Shanti Niketan limited as on 31st December, 2018 and 2019.

Liabilities	2018 (Rs.)	2019 (Rs.)	Assets	2018 (Rs.)	2019 (Rs.)
Share	65,000	85,000	Goodwil	3,000	2,500
Capital	12,000	14,500	Buildings	52000	50,000
Reserves	8,600	9000	Plant	40,000	41,000
P. & L A/c		...	Stock	20,500	18,800
Bank loan	20,000		Debtors	41,000	36,200
(Long-term)	40,000	35,000	Cash	100	650
Creditors	11,000	7,500	Bank	...	1850
Bills
Payable
	1,56,600	1,51,000		1,56,600	1,51,000

Taking into account the following additional information, you are required to prepare funds flow statement and statement of changes in working capital.

(a) Dividend paid was Rs.6,000/-

(b) Rs.3,600/- was written off as depreciation on plant and Rs.2,950/- on buildings.

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Question:

Integrate the following functions w.r.t. x using substitution:

i) $\int_{0}^{1} X^{3}\sqrt{X^{4}+1dx}$

ii) $\int_{0}^{\pi /4}$ tan⁷ x sec² x dx

iii) $\int_$ sec²(cos x) sin x dx

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Question:

Integrate the following functions w.r.t. x:

i) $\frac{1}{(2X+1)\frac{3}{2}}$

ii) sin (2x+3)

iii) cosec (4x)

iv) $\frac{1}{\sqrt{1-9X^{2}}}$

v) $\frac{1}{1+4X^{2}}$

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Question:

Create a report that shows the overrall revenue generated week wise

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Question:

Creat a trigger whenever there is a new entry in the food processors.also design a trigger whenever there is a deletion of the record too.

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Question:

From the following Trial Balance of Raghu Ram Associates, prepare Trading and Profit & Loss Account for the year ended 31st December, 2019 and a Balance Sheet as on that date:-

Dr. Balances	Rs.	Cr. Balances	Rs.
Opening Stock	22,000	Sales	3,70,000
Purchases	1,80,000	Purchase Return	5,000
Sales Return	7,000	Discount	6,200
Carriage Inwards	2,600	Sundry Creditors	27,000
Carriage Outwards	800	Bills Payable	2,800
Wages	40,000	Capital	70,000
Salaries	27,500
Plant & Machinery	1,00,000
Furniture	8,000
Sundry Debtors	42,000
Bills Receivable	2,500
Cash in Hand	6,500
Travelling Expenses	3,500
Lighting	2,400
Rent and Taxes	6,200
General Expenses	8,500
Insurance	1,500
Drawings	20,000
	4,81,000		4,81,000