On the xy-plane, consider curve C: y= x- Inx(0<x<1) and point P on curve C. Let the point of intersection of the tangent to C at point P with the y-axis be Q, and the point of intersection of the normal to C at point P with the x-axis be R. Given that point P moves along curve C, find the minimum value of the length of line segment QR.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

w'x is 0.

hope it

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

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or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!