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Show that the function `f` defined as follows, is continuous at `x=2` , but not differentiable: `f(x)={3x-2 2x^2 5x\ ` `02\ `

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If matrix A=(1\ 2\ 3),\ write A A', where A ' is the transpose o...

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  2. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

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  3. Show that the function f defined as follows, is continuous at x=2 ,...

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  4. Write the cartesian equation of the following line given in vector ...

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  5. Write the position vector of the mid-point of the vector joining th...

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  6. If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...

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  7. If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]dot\

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  8. Write the principal value of tan^-1 (-1)

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  9. Write the values of x-y+z from the following equation: [[x+y+z], [x+z ...

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  10. Write the order of the product matrix : [[1], [2], [3]] [[2,3,4]]

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  11. If |[x, x],[ 1, x]|=|[3, 4],[ 1, 2]|, write the positive value of x

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  12. Evaluate: int((1+logx)^2)/x\ dxdot

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  13. Evaluate: int1^(sqrt(3))(dx)/(1+x^2)

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  14. If int(a x+b^2)\ dx=f(x)+c , find f(x)

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  15. For what value of p , is ( hat i+ hat j+ hat k)p a unit vector?

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  16. Find | vec x| , if for a unit vector vec a ,\ ( vec x-\ vec a)dot( v...

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  17. What is the value of the following determinant? Delta=|[4,a, b+c],[4...

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  18. What is the domain of the function sin^(-1)x ?

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  19. If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f...

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  20. Write a square matrix of order 2, which is both symmetric and skew ...

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