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Discuss the continuity of the function d...

Discuss the continuity of the function defined by `f(x)={[x+1, if xle1],[x-2, if xgt1]:}`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the minimum value of abs[[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+...

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  2. Find the values of x and y such that [{:(3x+7,5),(y+1, 2-3x):}]=[{:(0,...

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  3. Discuss the continuity of the function defined by f(x)={[x+1, if xle1]...

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  4. Differentiate the functions w.r.t x x^(xcosx)+frac[x^2+1][x^2-1]

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  5. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  6. Find the intervals in which the function f given by f(x)=sinx+cosx, 0l...

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  7. If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)), then fin...

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  8. Find the integral intfrac[x^3sin(tan^(-1)x^4)][1+x^8]dx

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  9. Find the integral intfrac[x+3][(5-4x+x^2)]dx

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  10. Evaluate int(0)^(pi//2)logsinxdx.

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  11. Form the differential equation of the family of all circles of radius ...

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  12. Solve the differential equation frac[dy][dx]=log(x+1)

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  13. The two adjacent sides of a parallelogram are 2hati-4hatj+5hatk and ha...

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  14. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

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  15. Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 mea...

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  16. Prove by vector method that in a parallelogram, the line joining a ve...

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  17. If "sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^...

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  18. Maximize Z=6x1+10x2subject to x1+2x2gt10,2x1+2x2gt12,3x1+x2gt8,x1,x2gt...

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  19. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  20. Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...

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