7 Answered Questions for the topic Minima

11/03/14

How to find maximum height of a body

The height of a body moving vertically is given by s=1/2gt2+v0t+s0 for g>0 with s in meters and t in seconds. What is the body's maximum height? This is an expression, not necessarily... more

11/03/14

How to find extremes on an open interval

The function V(x)=x(10-2x)(16-2x) on the interval 0<x<5 models the volume of a box.  Find the extreme values of V and interpret those values in terms of the volume of the box. I'm basically... more

06/20/14

Find the open intervals on which f is increasing (decreasing).

Let f(x)=4x^3+5. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates  of all relative maxima (minima) 1. f is increasing on which intervals? 2. f is... more

06/19/14

Determine the x-coordinates and find the intervals on which f is increasing and decreasing

Let f(x)=4x^3+5. Find the open intervals on which f is increasing (Decreasing). Then determine the x-coordinates of all relative maxima and minima  1. f is increasing on which interval? 2. f is... more

06/18/14

Find the open intervals on which f is increasing and decreasing.

Let f(x)= 2-(2/x)+(6/x2).  Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals? 2.... more

06/18/14

List all critical numbers of f.

Suppose that  f(x)- (3x)/(x2-49)   A)List all critical numbers of f. B) Use interval notation to indicate where f(x) is decreasing C) List the x-values of all local maxima of f.  D) List the... more

06/18/14

Determine the x-coodinates of all relative maxima (minima)

Let f(x)=4x3+5. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals= 2. f is... more

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