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Find the cosine of the angle of intersec...

Find the cosine of the angle of intersection of curves `f(x)=2^x(log)_e xa n dg(x)=x^(2x)-1.`

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CENGAGE-APPLICATION OF DERIVATIVES-Examples
  1. Find the acute angle between the curves y=|xhat2-1|a n d y=|x^2-3| at ...

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  2. Find the angle between the curves 2y^2=x^3a n dy^2=32 xdot

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  3. Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...

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  4. The length of subtangent to the curve, y=e^(x//a) is

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  5. Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costh...

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  6. In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...

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  7. Find the possible values of p such that the equation p x^2=(log)e x ha...

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  8. Find the shortest distance between the line y=x-2 and the parabola y=x...

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  9. about to only mathematics

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  10. Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...

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  11. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

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  12. If f(x)=2x+3, g(x)=1-2x and h(x) =3x. Prove that fo(goh)=(fog)oh.

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  13. Find the derivative of y = tan^-1 (x^2-1)

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  14. Let x be the length of one of the equal sides of an isosceles triangle...

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  15. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

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  16. If water is poured into an inverted hollow cone whose semi-vertical ...

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  17. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

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  18. The radius of the base of a cone is increasing at the rate of 3 cm/min...

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  19. Find the approximate volume of metal in a hollow spherical shell wh...

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  20. Find approximate value of f (5.001) where f(x) =x^3-7x^2+15 .

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