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If f(x) = {((1-cos4x)/x^2, when x<0),(a,...

If `f(x) = {((1-cos4x)/x^2, when x<0),(a, when x=0),((sqrtx)/(sqrt(16 + sqrtx)+4), when x>0):}`. is continuous at x=0, then the value of a will be.

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SHARAM PUBLICATION-MODEL QUESTION PAPER-18-EXERCISE
  1. Write the solution of the following L.P.P. Maximize z = 3x + 2y subj...

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  2. IF Ay is the cofactor of the element ay of the determinant |{:(2,-3,5)...

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  3. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

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  4. Prove that |[x+y, x, x],[5x+4y, 4x, 2x], [10x+8y, 8x, 3x]|=x^3

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  5. Show that: abs((a,a^2,a^3),(b,b^2,b^3),(c,c^2,c^3))=abc(a-b)(b-c)(c-a)

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  6. Find the inverse of [(1, 3),(2, 7)] by using elementary row operation.

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  7. Find the vector vecp which is perpendicular to both vecalpha = 4hati +...

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  8. Find a unit vector perpendicular to both of the vectors veca + vecb an...

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  9. Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3and (x+1)/4=(y+1)/5=(z+1)/...

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  10. Prove that the measure of the angle between two main diagonals of a cu...

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  11. Find the equation of the plane passing through the intersection of the...

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  12. If f(x) = {((1-cos4x)/x^2, when x<0),(a, when x=0),((sqrtx)/(sqrt(16 +...

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  13. If y=x^(sinx-cosx)+(x^(2)-1)/(x^(2)+1), then find (dy)/(dx)

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  14. Show that the semi-vertical angle of the cone of the maximum volume an...

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  15. Evaluate the following integrals : Evaluate int(0)^(pi//2)(xsinxcosx...

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  16. Find the area of region in the first quadrant enclosed by the X-axis, ...

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  17. Solve the following differential x(dy)/(dx) = y - x tan (y/x).

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  18. Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...

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  19. Solve for x, cos^(-1)x +sin^(-1)((x)/(2)) =(pi)/(6).

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  20. Write the vector equations of the following lines and hence determine ...

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