Mathematics B.ED/BS Mathematics 2025

BAETA - 2025/03

SECOND YEAR

(Common with Chemical, Glass Ceramie & Pottery

Development, Petroleum, Petro Chemical, PGA,RAC, Sugar,

Textile Spinning, Textile Weaving. Textile dyciog & Printing, HVAC & R sod ICT Techoslogies)

MATHL-113 APPLIED MATHEMATICS -11

PAPER -d (PART-B)

Time: 2:30 hours

SECTION -I

Write short aupers to aay Elbisee (15) of the following &Bestions-

Marks: 60

18x2-36

If f(x) = 4n(x), prove that 1(pg) = (p) + {(g)

2. If f(x) = 2x1-x*, find f(Sin 8).

Balusts fin 417-2

2x2- 3x+7

Find the rge of 29 3x2+5×-1

Differcetiste x*, by ab-initio, w.r.t x

Eyニュナx+十十+…，

show that "ax "*y

Find derivative of XVX + I, w.r.t. x.

I y=x*-y+2, fnd 2 at x=-1,

Find * If xy +y* = 2

10.

Bod value of a (Sin* + Cos**a)

11. If y = Cos(fogx) Bed

12.

Find differential co-efficient of

13. Differeetiate Sin®(x), w.r.t z.

If y = th(x) fod gai

15. Find slope of the tangent to the curve

y = x3 - 3x + 2 at the point (0,2).

16.

If displacement is 5 = Sin 2t

find Acceleration.

17.

Find the values of x for the function

y=x+4xi-3x-s，

where the turning points exists.

18. Differentse pa. w.7.1 a.

19.

20. Find mess aod medisa of vatoes 4,0,2,8.1

21.0

Defins Soccedary data.

22. Define Standard Deviatioe,

23.

Weite formula to find Made of a grouped frequeory

24.

Two Coins are tossed find probability of one

distribution.

brad.

A die is rolled fled probability of getics a

4.

26. Define probebility of an eveet A.

27. A coln is tossed find probobling of a tigECTION:I

NOTE: ATTEMPT ANY THREE QUESTIONS

1 - Cos x

(b) Evaluate fu Sinax

0,3

(a) Find if x= 82-8-1 and y=26+8+1

(b) Find

4011/201

(b) If y = tan (ptanx) Show that (1+ x*= p(1 + y").

0.5

(a) Compute Median of marks from data giv

Marks:

0-5 5-10 10-15 15-20 20-25 25-30 30-35

No. of Boys:

(b) Three coins are tossed find the probe

bility of getting at least one tail

Q.6

Discuss for relative maxima and minim

s of the function x1 - 3x* +

2.

3×8-24