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Show that for the curve b y^2=(x+a)^3, t...

Show that for the curve `b y^2=(x+a)^3,` the square of the sub-tangent varies as the sub-normal.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Use the mean value theorem to prove e^(x)ge1+xAA x(inR)

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  2. Find the condition for the line y= mx to cut at right angles the conic...

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  3. Show that for the curve b y^2=(x+a)^3, the square of the sub-tangent v...

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  4. Let a , b , c be three real numbers such that a < b < c f(x) is conti...

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  5. Prove that the portion of the tangent to the curve (x+sqrt(a^2-y^2))...

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  6. Let a , b , c be nonzero real numbers such that int0^1(1+cos^8x)(a x^2...

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  7. If f is continuous and differentiable function and f(0)=1,f(1)=2, then...

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  8. Sand is pouring from a pipe at the rate of 12c m^3//sdot The falling s...

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  9. Let (a0)/(n+1)+(a1)/n+(a2)/(n-1)++(a(n-1))/2+an=0. Show that there e...

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  10. If the line a x+b y+c=0 is a normal to the curve x y=1, then (a)a >0,...

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  11. Which one of the following curves cut the parabola y^2 =4ax ...

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  12. Which of the following is/are correct? (A) Between any two roots of ...

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  13. Which of the following pairs(s) of curves is/are orthogonal? (a) y^2 ...

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  14. find all the tangents to the curve y=cos(x+y),-2pilexle2pithat are par...

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  15. Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x...

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  16. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6 ...

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  17. Find the shortest distance of the point (0, c) from the parabola y=...

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  18. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  19. Let f(x)={-x^2,for x<0; x^2+8,for xgeq0 Find x intercept of the common...

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  20. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

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