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I wanted to speak English that was excellent, elegant and fluent.

1. He got a good job.

2. Did he get good job?

3. What a great job!

4. Get a great job first.

5. What is your job?

6. Have you finished your job?

7. I am ready to finish my job.

8. Is he ready to finish his job?

Answer is  -1

Answer is  √2

Given, curve y = – x³ + 3x² + 9x – 27

Differentiating both sides w.r.t. x, we get

dy/dx = -3x² + 6x + 9

Let slope of the curve dy/dx = z

So, z = -3x² + 6x + 9

Differentiating both sides w.r.t. x, we get

dz/dx = -6x + 6

For local maxima and local minima,

dz/dx = 0

-6x + 6 = 0 ⇒ x = 1

d²z/dx² = -6 < 0 Maxima

Putting x = 1 in equation of the curve y = (-1)³ + 3(1)² + 9(1) – 27

= -1 + 3 + 9 – 27 = -16

Maximum slope = -3(1)² + 6(1) + 9 = 12

Therefore, (1, -16) is the point at which the slope of the given curve is maximum and maximum slope = 12.

slope of the line = 2 

slope of the curve = \(\frac{-1}{(x - 3)^2}\)

\(\frac{-1}{(x - 3)^2}\) = 2

⇒ 2(x -3)² = -1

⇒ 2(x² – 6x + 9) = -1

⇒ 2x² – 12x + 19 = 0

which has no real roots b² – 4ac < 0 

Hence there is no point on the curve

\(\frac{dy}{dx}\) = 3x² – 3 dx 

slope at x = 3 is 3 (9) – 3 = 24.

y = x³ 

\(\frac{dy}{dx}\)= 3x², 

Given that \(\frac{dy}{dx}\) = y = x³

∴ 3x² = x³ ⇒ x² (3 – x) = 0 

⇒ x = 0 or x = 3 

when x = 3, y = 33 = 27, 

when x = 0, y = 0 

∴ The required points are (0, 0), (3, 27).

Correct answer is

(a) x + 2y = 0

The point of intersection of the curve with the Y-axis is the origin (0, 0).

Correct answer is

(d) 0.9825

(a) For a general rotational motion, angular momentum L and angular velocity ω need not be parallel.

(c) For a general translational motion , momentum p and velocity v are always parallel.

The speed of the round afterwards is - (b) ω 

Correct  answer is (b) autumn

3. south-south-west direction

3. north-east

 The five basic elements of a map a twine.

A legend or key is an essential feature of any map. It explains the colours, signs, and symbols used in the map. It uses different colours to show the height or depth of an area above or below sea level respectively. It is provided near the top or the bottom of the map, either on the left-hand or right-hand side.

The following are the five essential features of a map.

1. Title – It indicate the subject of the map. e.g, distribution of natural vegetation, water bodies, climate, etc.

2. Scale – It denotes the relationship between map distances and actual ground distances. _

3. Direction – It refers to the cardinal direction, i.e., North, South, East and West, Conventionally, a map is aligned with the North towards the top.

4. Key or Legend – It explains the meaning of the symbols that are used in the map.

5. Grid system- usually formed by the cross-conjugation of the lines of longitudes and latitudes.

The axis of the earth is an imaginary line. We cannot see it.

The direction on a map is measured with the help ofthe north line. All maps have a key or a legend that explains the colours, signs and symbols used in them.

The equator (0° latitude) divides the earth into the hemispheres — the northern and the southern hemispheres. All lines of latitude are measured from the equator.

A) The earth rotates from west to east.

I explained the earth’s rotation to my brother and sister. I write down their doubts here under.

1. Why does the earth rotate? 

2. What is the speed of the earth’s rotation? 

3. How can we prove the earth’s rotation? 

4. Why is the axis of earth tilled? 

5. What happens if earth stops its rotation?

(a) (1110 1000)₂ = (E8)₁₆ 

(b) (1010 1111 0110)₂ = (AF6)₁₆ 

(c) (1100 1011)₂ = (CB)₁₆ 

(d) (1000 1011 1101 0110)₂ = (8BD6)₁₆

B) Equinoxes – the day and nights are equal throughout the world.

(D) All the above

(D) 24 hours

Answer is (B) Winter

A) circle of illumination

Answer (D) June

B) earth’s revolution

The arithmetic and logic unit does the actual processing by performing mathematical and logical operations, such as making comparison.

C) March, September

Input is the data put into the computer. It goes into a process, supported by storage.

Keyboard, Mouse, Touch Screen, OMR etc.

The computing process can be described in terms of Input-> Process -> Output.

(C) Both A & B

The Earth’s axis is tilted on it, so as to form a 66.5° angle.

The language of a computer is machine language.

The basic functional components of a computer are: 

1. Input Unit 

2. Central Processing Unit 

3. Output Unit

A computer can process four basic operations, by which it carries out the data processing: 

1. Input/output operations 

2. Logical operations (known as comparison operations)

3. Storage and retrieval operations 

4. Data manipulation and calculation related operations.

VDU is not a part of a CPU.

Most transactions in E-commerce at present are done under B2B.

Portable computer is Laptop.

Yes, the inter molecular space between the particles decreases and they come close.

Change in pressure can change the state of matter.

Business Process Outsourcing.

The communication revolution has brought a fundamental change in the working system of the banks. Computers have given a new direction and dynamism to banking business is growing rapidly due to a debit card and net banking services. Net banking. ATM machines and credit cards of 24×7 working systems are operating in banks.

The transaction in e-commerce is not done on papers, but instead, the transaction is done online. The business is done through computer and banks play a major role in this, because every transaction of money is done through banks only.

The central or state government operates a completely separate department, The accounts and audit department, to keep accounts of its finance-related activities and to control them. The account and general and monitoring department of the central government, and on the state level, the accounts and treasury directorate and local fund and audit department are functioning. Auditing functions of the department are performed by, accountant, assistant accounts officer and accounts officer.