oltre-50-incontri visitors

Aramaic Bible inside the Plain English A wise lady produces a property plus the dumb woman ruins they with her hand

Aramaic Bible inside the Plain English A wise lady produces a property plus the dumb woman ruins they with her hand

Modern English Type A beneficial female’s family is actually held with her because of the the girl knowledge, nevertheless would be destroyed by the the lady foolishness.

Douay-Rheims Bible A smart lady buildeth the woman house: however the dumb commonly down together with her hands that also which is centered.

International Important Variation All of the wise girl builds this lady house, but the dumb you to rips they down with her individual hands.

The Revised Simple Adaptation The latest smart lady yields their household, however the stupid rips they off together very own give.

The latest Center English Bible All the wise woman produces her family, but the stupid one tears they off together with her very own hands.

Community English Bible All the wise woman creates this lady household, nevertheless foolish one to tears they off together individual give

Ruth cuatro:11 “We’re witnesses,” told you brand new parents and all the folks from the gate. “May the lord make the woman entering your home like Rachel and you may Leah, which together accumulated our home from Israel. ous into the Bethlehem.

Proverbs A foolish man is the disaster off their father: additionally the contentions off a wife are a repeated losing.

Proverbs 21:nine,19 It’s a good idea to help you stay in a large part of one’s housetop, than that have a brawling lady for the a wide household…

Definition of a horizontal asymptote: The line y = y0 is a “horizontal asymptote” of f(x) if and only if f(x) approaches y0 as x approaches + or – .

Definition of a vertical asymptote: The line x = x0 is a “vertical asymptote” of f(x) if and only if f(x) approaches + or – as x approaches x0 from the left or from the right.

Definition of a slant asymptote: the line y = ax + b is a “slant asymptote” of f(x) if and only if lim (x–>+/- ) f(x) = ax + b.

Definition of a concave up curve: f(x) is “concave up” at x0 if and only if is increasing at x0

Definition of a concave down curve: f(x) is “concave down” at x0 if and only if is decreasing at x0

The second derivative test: If f exists at x0 and is positive, then is concave up at x0. If f exists and is negative, then f(x) is concave down at x0. If does not exist or is zero, then the test fails.

Definition of a local maxima: A function f(x) has a local maximum at x0 if and only if there exists some interval I containing x0 such that f(x0) >= f(x) for all x in I.

The first derivative attempt getting local extrema: When the f(x) are increasing ( > 0) for all x in a few interval (good, x

Definition of a local minima: A function f(x) has a local minimum at x0 if and only if there exists some interval I containing x0 such that f(x0) <= f(x) for all x in I.

Occurrence from regional extrema: The regional extrema can be found in the critical situations, but not all of the crucial points exists on local extrema.

0] and f(x) is decreasing ( < 0) for all x in some interval [x0, b), then f(x) has a local maximum at x0. If f(x) is decreasing ( < 0) for all x in some interval (a, x0] and f(x) is increasing ( > 0) for all x in some interval [x0, b), then f(x) has a local minimum at x0.

The second derivative test for local extrema: If = 0 and > 0, then f(x) has a local minimum at x0. If = 0 and < 0, then f(x) has a local maximum at x0.

Definition of absolute maxima: y0 is the “absolute maximum” of f(x) on I if and only if y0 >= f(x) for all x on I.

Definition of absolute minima: y0 is the “absolute minimum” of f(x) on I if and only if y0 <= f(x) for all x on I.

The ultimate worthy of theorem: If the f(x) is carried on for the a shut period I, next f(x) features a minumum of one natural limitation plus one pure minimal within the I.

Density off absolute maxima: In the event the f(x) is carried on inside the a closed period We, then the absolute restriction of f(x) into the We is the limitation value of f(x) on the all of the regional maxima and you will endpoints on I.

Density out-of absolute minima: In the event the f(x) is actually continuing for the a shut period We, then your pure the least f(x) from inside the We ‘s the minimum worth of f(x) to the all of the regional minima and you may endpoints toward We.

Solution method of selecting extrema: If the f(x) was continuous in the a shut period I, then the absolute extrema off f(x) in the I are present within vital circumstances and you may/or during the endpoints away from I. (It is a shorter specific particular the above mentioned.)

Back to list

Leave a Reply

Your email address will not be published. Required fields are marked *