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Find the points on the curve y=x^3 at wh...

Find the points on the curve `y=x^3` at which the slope of the tangent is equal to the `y-` coordinate of the point.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. If x=a^s in^((-1))\ t ,\ y=a^cos^((-1))t ,\ show that (dy)/(dx)=-y/x

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  3. Find the points on the curve y=x^3 at which the slope of the tangen...

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  4. Find the intervals in which the function f given by f(x)=sinx+cosx ,\...

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  8. Prove the following: cot^(-1)((sqrt(1+sinx)\ \ +\ \ sqrt(1-sinx))/(sqr...

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  9. Write the value of the following determinant: |[102, 18, 36],[ 1, 3,...

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  10. If x[[2],[ 3]]+y[[-1],[ 1]]=[[10],[ 5]], write the value of xdot

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  11. If int0^a3x^2dx=8,\ write the value of ' a^(prime)dot

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  12. If int((x-1)/(x^2))e^x dx=f(x)e^x+c , then write the value of f(x)dot

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  13. If the binary operation * on the set Z of integers is defi...

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  14. If I is the identity matrix and A is a square matrix such that A...

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  15. Write the value of "cot"(tan^(-1)a+cot^(-1)a)dot

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  16. If x=a(cos t+tsint) and y=a(sint-tcost), then find (d^2y)/(dx^2)

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  18. Write the value of ( hat ixx hat j)dot hat k+( hat jxx hat k)dot\ hat...

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