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Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/...

Prove that `2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)`

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  1. Let ast be an operation such that aastb=LCM of a and b defined on the ...

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  2. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

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  3. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

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  4. If A=[[0,1],[0,0]] ,B=[[1,0],[0,0]], then BA=

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  5. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

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  6. Find the inverse of A=[[2,-6],[1,-2]]

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  7. The value of abs((x,x-1) , (x+1,x):} is a)1 b)x c)x^2d)0

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  8. Using properties of determinants prove the following. abs[[1,x,x^2...

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  9. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

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  10. If e^(x-y)=x^y then prove that dy/dx=logx/[logex]^2

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  11. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

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  12. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

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  13. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

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  14. Which of the following function has neither local maxima nor local min...

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  15. Find the equation of the tangent to the curve y=3x^2 at (1,1)

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  16. Use differentiation to approximate sqrt36.6.

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  17. The angle between the vectors veca and vecb such that absveca=absvecb=...

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  18. Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+...

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  19. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

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  20. Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...

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