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There is a point (p,q) on the graph of `f(x)=x^2` and a point `(r , s)` on the graph of `g(x)=(-8)/x,` where `p gt 0` and `r gt 0.` If the line through `(p , q)` and `(r , s)` is also tangent to both the curves at these points, respectively, then the value of `P+r` is_________.

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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Numerical)
  1. There is a point (p,q) on the graph of f(x)=x^2 and a point (r , s) on...

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  2. A curve is defined parametrically be equations x=t^2a n dy=t^3 . A var...

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  3. If d is the minimum distance between the curves f(x)=e^x a n dg(x)=(lo...

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  4. Let f(x0 be a non-constant thrice differentiable function defined on (...

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  5. At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first...

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  6. A curve is given by the equations x=sec^2theta,y=cotthetadot If the ta...

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  7. Water is dropped at the rate of 2 m^3/s into a cone of semi-vertical a...

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  8. If the slope of line through the origin which is tangent to the curve ...

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  9. Let y=f(x) be drawn with f(0) =2 and for each real number a the line t...

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  10. Suppose a , b , c are such that the curve y=a x^2+b x+c is tangent to ...

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  11. Let C be a curve defined by y=e^a+b x^2dot The curve C passes through ...

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  12. If the curve C in the x y plane has the equation x^2+x y+y^2=1, then t...

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  13. If a , b are two real numbers with a<b , then a real number c can be f...

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  14. Let f:[1,3]to[0,oo) be continuous and differentiabl function. If (f(3)...

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  15. The x intercept of the tangent to a curve f(x,y) = 0 is equal to the o...

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  16. if f(x) is differentiable function such that f(1) = sin 1, f (2)= sin ...

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  17. Let f(x)=x(x^(2)+mx+n)+2," for all" x neR and m, n in R. If Rolle's t...

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  18. If length of the perpendicular from the origin upon the tangent drawn ...

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  19. If f (x) ={{:(xlog(e)x",",x gt0),(0",",x=0):}"not conclusion of LMVT h...

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