Aramaic Bible during the Plain English A wise woman yields property and the foolish lady ruins it together hand
Modern English Type An excellent female’s family unit members is actually held along with her by her wisdom, nonetheless it will be destroyed of the the lady foolishness.
Douay-Rheims Bible A wise lady buildeth the girl domestic: although stupid usually pull down with her hand that can that is depending.
All over the world Simple Version Every wise girl increases their household, however the foolish you to definitely rips they off together own hands.
The brand new Revised Practical Version New wise woman produces this lady home, however the foolish tears they off with her very own hands.
The fresh new Cardiovascular system English Bible All the wise woman yields their household, nevertheless stupid you to rips it off along with her individual hands.
Globe English Bible Most of the smart girl produces the lady house, however the dumb you to tears it off together individual hands
Ruth cuatro:eleven “The audience is witnesses,” said the fresh new parents and all the individuals at gate. “Could possibly get the lord improve woman entering your home instance Rachel and you can Leah, who together with her built up the house away from Israel. ous into the Bethlehem.
Proverbs A dumb son ‘s the disaster regarding his dad: therefore the contentions of a spouse was a continual shedding.
Proverbs 21:9,19 It is best to help you live inside a corner of housetop, than simply with a brawling woman in the a wide family…
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 original by-product attempt to own local extrema: If the f(x) is expanding ( > 0) for all x in a number of period (a great, 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.
Thickness regarding local extrema: All local extrema exist on vital facts, not all critical facts occur from the regional 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) citas calientes ios 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) try carried on into the a shut period I, upcoming f(x) have one absolute limit and one absolute lowest within the We.
Density of pure maxima: In the event that f(x) was continued in the a sealed interval I, then the pure restriction off f(x) in I ‘s the maximum value of f(x) toward most of the local maxima and you can endpoints to your We.
Occurrence out of absolute minima: When the f(x) was continued inside the a closed interval I, then absolute minimum of f(x) within the I ‘s the lowest value of f(x) into the all the local minima and you may endpoints to your I.
Choice type of selecting extrema: If f(x) try proceeded for the a closed period I, then the pure extrema of f(x) during the I can be found on crucial facts and you will/otherwise on endpoints out-of We. (This is certainly a smaller certain types of these.)
