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If the rate of change in y=2x^3+3x^2-30x...

If the rate of change in `y=2x^3+3x^2-30x+7` is 6 times the rate of change in `x`, then `x` =

A

1, 5

B

1, -5

C

2, 3

D

2, -3

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
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  2. If the rate of decrease of x^2/2-2x+5 is twice the decrease of x, then...

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  3. If the rate of change in y=2x^3+3x^2-30x+7 is 6 times the rate of chan...

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  4. At the point (2, 5) on the curve y=x^3-2x+1 the gradient of the curve ...

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  5. The point on the parabola x^2=8y for which the abscissa and ordinate c...

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  6. The point on the parabola y^2=4x for which the abscissa and ordinate c...

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  7. A point on the parabola y^2=18x at which the ordinate increases at twi...

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  8. A particle moves along the curve y=x^2+2x. Then the point on the curve...

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  9. The point on the circle x^2+y^2=2 at which the abscissa and ordinate i...

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  10. At what value of an angle the rates of change in sine and tangent of t...

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  11. A point is moving on y=4-2x^2. The x-coordinates of the point is decer...

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  12. If the rate of change in the radius of a circle is 0.02 cm/sec, then t...

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  13. The radius of a circular plate is increasing at the rate of 0.01 cm/se...

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  14. The radius of the circular disc increases at a uniform rate of 0.025 c...

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  15. If the rate of change in the radius of a circle is 0.5 sq.cm/sec, then...

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  16. If the rate of change in the area of a circle is pi sq.cm/sec, then th...

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  17. When a circular oil drop expands on water, its area increases at the u...

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  18. A stone is dropped into a quiet pond and waves move in circles outward...

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  19. A stone is dropped into a quiet pond and waves move in circles outward...

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  20. If the rate of change of area of a circle is equal to tha rate of chan...

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