What are the local minimum and maximum points for the following equation? y=(x2)ex.The Second Derivative Test:The second derivative test can be used to find local extrema of a function f(x) under certain conditions. If f′(a)=0 and f″(a)<0, the f(x) has ...
平衡位置b=（max+min）/2 振幅A=（max-min）/2 有频率f可求 ω=f/2π
In this paper an empirical equation designed to estimate the values ??of the temperature minimum and maximum of the average for the city of Baghdad, for the months of January and July Depending on the ratio of the mean of increase and decrease of the temperature minimum and maximum from aver...
Move all terms not containing ( y) to the right side of the equation. ( xy-2y^2+10y-f(x,y)=-x^2-x+10) The maximum or minimum of a quadratic function occurs at ( x=-b/(2a)). If ( a) is negative, the maximum value of the function is ( f(-b/(2a))). If ( a...
We develop famous Merton's financial model to more realistic and interesting situation: consumption rate has lower and upper constraints. The aim is to find optimal strategies for consumption and investment. The corresponding HJB equation is a fully nonlinear ordinary differential equation. We use stoc...
To find the maximum and minimum values of a function {eq}f(x,y) {/eq} subject to a constraint, {eq}g(x,y) = k {/eq}, we must first find the critical points. In some instances, to simplify this process, we can solve the constraint functi...
The same holds for the local maximum of a function, since there the function goes from increasing to decreasing. Therefore, to find the location of the local maxima and local minima you have to solve the equation f'(x) = 0. Therefore you have to first find the derivative of the ...
maximumpoint. F.Examples Ex[1]Themaximumorminimumpointsoftheequationy=ax 2 +bx+c is___. a.Takingthederivativeandsettingitequalto0,weget:2ax+b=0. b.Solvingforxgives:x=- b / 2a . c.Thesecondderivativeis2a.Soifaispositive,thenx= -b /...
On the distribution of the minimum and of the maximum of a random number of i.i.d. random variables - Shaked - 1975 () Citation Context ...uiz [13]. Let N be a positive integer-valued random variable which is independent of Xi’s and Yi’s. 1. If X1 is IFR (DFR), then ...
The maximum distance is from a point to the farthest intersection point. Answer and Explanation: Given equation of the sphere is {eq}x^2 + y^2 + z^2 = 25 {/eq} Let the point A is (3,7,9) First, we need to find whether point A lies ...