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Integrate: intsin^4xcos^3xdx...

Integrate: `intsin^4xcos^3xdx`

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SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE
  1. Interpret Lagrange's mean value theorem geometrically.

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  2. the points on the curve y^2=x where the tangents makes an angle of pi...

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  3. Integrate: intsin^4xcos^3xdx

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  4. Evaluate: overset(3/2)underset(0)int[x^2]dx.

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  5. Find the area bounded by the curve x=y^2 and the straight lines x = 0,...

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  6. Find the differential equation whose general soltution is c1x^2+c2y=1 ...

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  7. Find the particular solution of the following differential equation : ...

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  8. Find an integrating factor of the differential equation (x + tan y ) d...

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  9. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  10. Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat ...

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  11. Find the value of lambda such that the following vectors are coplanar...

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  12. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  13. Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...

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  14. If one end of a diameter of the sphere x^2+y^2+z^2-2x+4y-6z-11=0 is (-...

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  15. Show that feasible region for the following constarints in a graph 2x+...

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  16. If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...

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  17. Find the inverse of the following : [[2,5],[1,3]]

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  18. If the sets A and B have m and n elements respectively, then how many ...

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  19. If A and B are any two events and AsubB, then prove that P(A)leP(B)

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  20. If a die is thrown twice in succession, then find the probability that...

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