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Find the values of a and b such that fun...

Find the values of a and b such that function defined by
`f(x)={(10,,xle3),(ax+b,,3

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Test continuity for the following function at zero? f(x)={(sin(1/x),...

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  2. Test continuity for the folowing functions. f(x)={(xsin(1/x), x ne0)...

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  3. Find the values of a and b such that function defined by f(x)={(10,,...

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  4. Consider the plane 2x-3y+z=5. Find the Equation of the plane passing t...

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  5. Consider the vectors veca=2i+j+3k,vecb=i+4j-k.Find the projection of v...

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  6. Consider the vectors If veca is perpendicular to a vector vecc then pr...

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  7. Consider the vectors veca=2i+j+3k,vecb=i+4j-k Write a vector vecd ...

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  8. Find int(4x+7)sqrt(x^2+4x+13dx

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  9. Write integrating factor of the linear differential equation (dy/dx)+(...

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  10. Slope of the tangent to a curve at any point is twice the x coordinate...

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  11. Solve the linear programming problem graphically Maximise Z=3x+5y ...

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  12. If cos^-1(12/13)=tan^-1x then find x.

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  13. Show that cos^-1(4/5)+cos^-1(12/13)=tan^-1(56/33)

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  14. Consider the binary operation ast on the set R of real numbers, define...

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  15. Let Q be the set of Rational numbers and 'ast' be the binary operation...

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  16. Consider the binary operation ast on the set R of real numbers, define...

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  17. Consider the matrix [[1,0,2],[0,1,2],[0,4,9]] Find A^-1 using element...

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  18. Consider the matrix [[1,0,2],[0,1,2],[0,4,9]] Find the solution of th...

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  19. Show that abs [[1,a,bc],[1,b,ac],[1,c,ab]]=(a-b)(b-c)(c-a)

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  20. If A=[[2,3],[4,-1]] verify that AtimesadjA=absAI

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