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A curve is passing through the point (4,...

A curve is passing through the point (4,3) and at any point the gradient of the tangent to the curve is reciprocal of the ordinate of the point. Obtain the equation of the curve.

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The correct Answer is:
`y^(2)=2x+1`
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A curve passes through the point (3,-4) and the slope of the tangent to the curve at any point (x,y) is (-(x)/(y)) . Find the equation of the curve.

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CHHAYA PUBLICATION-DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE -PART -E
  1. A curve passes through the point (3,-4) and the slope of the tangent t...

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  2. Determine the equation of the passing through the origin, the slope of...

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  3. The slope of the tangent to a curve at any point (x,y) is (3y+2x+4)/(4...

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  4. Show that, the family of curves for which the slope of the tangent at ...

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  5. A curve is passing through the point (4,3) and at any point the gradie...

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  6. Show that, the equation of the curve passing through (1,0) and satisfy...

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  7. A curve passes through tha point (2,0) and satisfies the equation ydy+...

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  8. A motor boat is moving in a straight line. Its velocity is V when the ...

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  9. A particle starts from the origin and moves along a straight line. If ...

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  10. The velocity of a particle moving in a straight path is given by v=16t...

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  11. The acceleration of a particle moving along a straight line is (6t^(2)...

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  12. If the acceleration of a particle at time t seconds be 1.2t^(2)ft//s^(...

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  13. A particle starts form the origin with a velocity of 10 cm/s and moves...

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  14. A particle starts from the origin with a velocity of 2 cm/s and moves ...

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  15. In a certain culture, the number of bacteria at any instant increases ...

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  16. A radioactive substance is subject to the law of natural decay (dv)/(d...

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  17. Suppose the marginal cost of a product is given by RS(10+24x-3x^(2)), ...

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  18. If the marginal revenue function is (15-2x-x^(2)), find total revenue ...

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  19. The marginal cost function of manufacturing x pairs of shoes is RS(6+1...

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  20. If y is the total cost of x units of output and it is given that margi...

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