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Triton International College

Location: Subidhanagar, Tinkune

Phone No: 123456790

Courses: BCA, BBA, BIM, BBS, BIT

Triton International College

Location: Subidhanagar, Tinkune

Phone No: 123456790

Courses: BCA, BBA, BIM, BBS, BIT

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Mathematics - II

Examination 2019

Group B

Attempt any Six question

2. Write expansions for log(1+x) and ex and use the expansion ex to prove lim x e x 1 x = 1

3. Find Derivative of 2 x 3 using defination.

4. Show that the rectangle of largest possible area for a given perimeter 'P' is a square.

5. Evaluate the integral, ( 3 sinx 4 ) 2 cosxdx

6. Solve the differential equation dy dx = x 2 + y 2 2 x 2

7. Evaluate the limit lim x xcos θ θ cosx x θ

8. Using Newton Raphson's Method to find the square root fo 153 correc to three places of decimals.

Group C

Attempt any Two question

9. Using simplex method to find the optimal solution of the following linear programming problem.
maximize, z = 2x1 + 12x2 + 8x3
subject to
2x1 - 2x2 + x3 ≤ 100
x1 - 2x2 + 5x3 ≤ 80
10x1 + 5x2 + 4x3 ≤ 80,
x1, x2, x3 ≥ 0

10. a) State Mean value Theoren and interpret it geometrically

b) Find the intervals in which the function f(x) = x3 - 3x2 + 5 concave upwards and concave downward.

11. a) Find the area bounded by the parabola y2 = 4x and y axis between the point y = 0 to y = 2.

b) Solve the differential equation d x d y + 2 t a n x . y = s i n x

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