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If A,B,C,D are (1,1,1), (2,1,3), (3,2,2),(3,3,4) respectively, then find the volume of the parallelopiped with AB,AC and AD as the concurrent edges.

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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2014-SECTION-II
  1. If A,B,C,D are (1,1,1), (2,1,3), (3,2,2),(3,3,4) respectively, then fi...

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  2. If y=1-costheta,x=1-sintheta,"then "(dy)/(dx)" at "theta=(pi)/(4)" is"

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  3. The integrating factor of linear differential equation (dy)/(dx) + y s...

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  4. Find the equation of the tangent to the curve y=3x^(2)-x+1 at P(1, 3).

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  5. Examine the continuity of the funciton f(x)=sinx - cos x, " for "x n...

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  6. Verify Rolle's theorem for the following function f(x) = x^2 - 5x + 9,...

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  7. intsec^nxtanxdx,n!=0

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  8. The probability mass function (p. m. f.) of X is given below : |{:(X...

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  9. Given that X ~ B( n=10, p) .If E (x) = 8, find the value of p .

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  10. If y =f(u) is differentiable function of u, and u=g(x) is a differenti...

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  11. Obtion the differential equation by elininating arbitrary constants A,...

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  12. Evaluate int(x^2+1)/((x^2+2)(2x^2+1))dx

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  13. An open box is to be made out of a piece of a square card board of sid...

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  14. Property 6: If f(x) is a continuous function defined on [0; 2a] then ...

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  15. If the function f(x) is continuous in the interval [-2, 2]. find the ...

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  16. Solve the following differential equations : (1) (dy)/(dx) = (y + s...

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  17. A fiar coin is tossed 18 times. Find the probability that it shows lea...

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  18. If x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)= ?

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  19. Find the area bounded by the cirxle x^2+y^2 =16 and the line y=x in th...

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  20. int sqrt(x^2 - a^2) = 1/2 x sqrt (x^2 - a^2) - 1/2 a^2 log ( x + sqrt(...

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  21. A random variable X has the following probability distribution : (a...

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