Download JNTUK B.Pharm 1-1 2020 Feb B13102 I Remedial Mathematics I Question Paper

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Code No: B13102 R13 SET -1

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I B. Pharmacy I Semester Supplementary Examinations, February - 2020

REMEDIAL MATHEMATICS-I

Time: 3 hours Max. Marks: 70

Note: 1. Question paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

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3. Answer any THREE Questions from Part-B

1. a) Find the number of four letter words that can be formed using the letters of the (4M)

word MIXTURE which (i) contain the letter X (ii) do not contain the letter X.

b) Find the value of tan75° —cot 75° (4M)

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c) Show that the set of points (1, 3),(-2,-6), (2, 6 ) are collinear. (4M)

d) Find the derivative of cos(x²) (3M)

e) Find Laplace transform of sin at. (3M)

f) Evaluate ? cot x dx (4M)

PART -B

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2. a) Find the term independent of x in the expansion of (4x³ + 7/x²)⁷ (8M)

b) show that | bc b+c 1 ac a+c 1 ab b+a 1 | = ( a - b ) ( b - c ) ( c - a ) (8M)

3. a) From a point on the ground, the angle of elevation of summit is found to be (8M)

45°. After walking 150 mt towards the mountain , the angle of elevation of the

summit is 60° . Find the height of the mountain.

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b) Prove that (sinA+sin5A+sin9A)/(cosA+cos5A+cos9A) = tan5A (8M)

4. a) Find the equation of the locus of a point which is equidistant from the A(-3,2) and (8M)

B (0,4)

b) Transform the equation 5x—2y—7 =0 into (8M)

(i) Slope — Intercept form

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(ii) Intercept form

(iii) Normal form

5. a) Check the continuity at x =3 given by (8M)

f(x) = { (x²-9)/(x-3) if x?3 , 1.5 if x=3 }

b) Find the derivative of y =(tanx)^tanx (8M)

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6. a) Evaluate ? e^2x cos 2x dx (8M)

b) Find the area of the curve y = (a² -x²)² between x=0, x=a (8M)

7. a) Form a ODE by eliminating the constants ‘c’ from y=1+x²+cv(1+x²) (8M)

b) Solve the ODE ydx—xdy+x²y²e^x3 dx=0 (8M)

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