Jawaharlal Nehru Technological University Hyderabad 2009-1st Year B.Pharm Code No:R7-101BP,acy Regular s,e , REMEDIAL MATHEMATICS. - Question Paper

Code No: R7-101-BP ~

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B. Pharmacy I Year 8i>pplmntary Examinations, June 2009

REMEDIAL MATHEMATICS

Max. Marks: BO

Time : 3hours

Answer any FIVE questions All questions carry equal marks

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11

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2    5 3

3    1 2 I 2 1

1. a) Find the inverse of

% - -:v

b) Find three numbers in A.P. whose sum is 24 nnd the sunrToftheir cubes is 1968.    |8+8]

2. a) If A, B, C are the angles of a triangle, prove that cos ⁺--=sin~

2 2

1

b) Find all angles between 0 and 720 whose tangent is

l+K|

73

Find coordinates of the point which divides externally the join of the pair of points: (4,7) and (1, -2) in the ratio of 3:2.

Find the equation of the straight line perpendicular to 2x + 3.y + 4 =

and passing through (3, -2).    [8+8]

3. a)

b)

0

lim </^x-l

4. a) Evaluate:    -

a: > 0 x

b) Discuss the differentiability of f(x) = \fx at * = ().    [8+8]

jc²

5. a) i) Find the differential coefficient of-

3

(x²+a² y

ii) Find the differential coefficient of x⁷ e^x sin² x b) In a plane triangle, Find the maximum value of cos A cos B cos C

|8+1

⁴ x*

6. a) Evaluate f--

, (1 + 4x)

2

tt

2

b) Evaluate 3/sin 0 jcos⁴ OdO.    [8+8]

Cont...2