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Find a point on the curve y=x^(3), where...

Find a point on the curve `y=x^(3)`, where the tangent to the curve is parallel to the chord joining the points (1, 1) and (3, 27).

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The correct Answer is:
`(sqrt(13/(3)),(13/(13))^(3//2))`
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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SECTION IV)
  1. Find the equations of the tangent to the given curves at the indicate...

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  2. Find the equations of the normal to the given curves at the indicated ...

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  3. Find the equation of the tangent and normal to the given curve at the ...

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  4. Find the equation of the tangent and normal to the given curve at the ...

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  5. Find the equations of the tangent to the given curves at the indicated...

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  6. Find the equation of the tangent and normal to the given curve at the ...

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  7. Find the equation of the tangent and normal to the given curve at the ...

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  8. Find the equation of the tangent and normal to the given curve at the ...

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  9. Find the equation of the tangent to the curve x=a"cos"^(3)theta,y=a"si...

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  10. Find the equation of tangent to the curve : x^2 + 3y = 3 at which tang...

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  11. Find the equation of the tangent to the curve 2x^(2)-y=-7, which is pa...

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  12. Find the equation of the tangent to the curve 4x^(3)-3x+10=y, which is...

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  13. Find the equation of the tangent to the curve y=x^(3)+2x+6, which is p...

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  14. Find the point on the curve y = x^3 -11x +5 at which the tangent is y ...

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  15. Find the point on the curve y=2x^(3)-15x^(2)+36x-21 at which the tange...

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  16. Find the equations of all lines having slope 0 which are tangent to th...

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  17. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

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  18. Find a point on the curve y=x^(3), where the tangent to the curve is p...

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  19. Show that the curve xy=a^(2)andx^(2)+y^(2)=2a^(2) touch each other.

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  20. Prove that the curves y^(2)=4axandxy=c^(2) cut at right angles if c^(4...

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