2015 May - Morning

 

1. Express sinh(x) as an infinite series;

(a) - x - x³/6 + . . .

(b) x²/2 + x⁴/24 + . . .

(c) 1 + x²/2 + . . .

(d) x + x³/6 + . . .

2. Find limx→0 sin(2x-π/4)/x2;

(a) 2.484

(b) 1.414

(c) 4.121

(d) Undefined

3. Radius of an inscribe circle of a hexagon is 5. Area of this hexagon is nearly as

(a) 75.5

(b) 86.6

(c) 128.2

(d) 146.6

4. Dot product of vectors A = 3i + 1j - 2k and B = 1j + 2k

(a)   2

(b) - 2

(c)   3

(d) - 3

Ans:

     A . B  = (3) (0) + (1) (1) + (-2) (2)

                =  - 3          (d)

5.

(a) Explain about the Engineers' Creed?

(b) If engineers' judgment is overruled under circumstances that endanger life or property how should they notify?

(c) Should the engineers be permitted the use of their names to dishonest enterprise?

(d) If the engineers have knowledge of any alleged violation of this code what actions should they take?

(e) Which kinds of project or assignment should be accepted and assumed responsibility by the engineers?

Ans: (Harris et al., 2009)

(a) Engineers, in the fulfillment of their professional duties, shall:

1. Hold paramount the safety, health, and welfare of the public.

2. Perform services only in areas of their competence.

3. Issue public statements only in an objective and truthful manner.

4. Act for each employer or client as faithful agents or trustees.

5. Avoid deceptive acts.

6. Conduct themselves honorably, responsibly, ethically, and lawfully so as to enhance the honor, reputation, and usefulness of the profession.

(b) If engineers' judgment is overruled under circumstances that endanger life or property, they shall notify their employer or client and such other authority as may be appropriate.

(c) No, engineers shall not permit the use of their name or associate in business ventures with any person or firm that they believe is engaged in fraudulent or dishonest enterprise.

(d) Engineers having knowledge of any alleged violation of this Code shall report thereon to appropriate professional bodies and, when relevant, also to public authorities, and cooperate with the proper authorities in furnishing such information or assistance as may be required.

(e) Engineers may accept assignments and assume responsibility for coordination of an entire project and sign and seal the engineering documents for the entire project, provided that each technical segment is signed and sealed only by the qualified engineers who prepared the segment