The wage of a worker in a factory was $4.50 per hour in 1990 and it in..
The wage of a worker in a factory was $4.50 per hour in 1990 and it increased to $6.25 per hour in the year 1998. Find the percent of increase. => 49% or 34% or 44% or 39%..
The following table represents the percentage increase or decrease fro..
The following table represents the percentage increase or decrease from the previous year in the military growth rates in Brazil till the year 1998. In which year was the minimum growth rate recorded? Year Growth rate 1994 -6.5% 1995 12.1% 1996 29.4% 1997 13.2% 1998 -8.9% => 199..
The minimum charges of a CD borrowed on rent is $2. The charges increa..
The minimum charges of a CD borrowed on rent is $2 . The charges increase by $1 for each day. Use the rate of change to identify a linear equation for the data shown in the table. Number of Days ( x ) 1 2 3 4 Cost in Dollars ( y ) 3 4 5 6 => y = - x - 2 or x = - y - 2 or x = y +..
The minimum charges of a book borrowed on rent is $3. The charges incr..
The minimum charges of a book borrowed on rent is $3 . The charges increase by $1 for each day. Use the rate of change to identify a linear equation for the data shown in the table. Number of Days ( x ) 1 2 3 4 Cost in Dollars ( y ) 4 5 6 7 => y = x + 3 or y = x - 3 or x = - y +..
Step 4:
Let us take the critical value x= a. Find the sign of f '(x) for values of x slightly less than a and for values slightly greater than a. (i) If the sign of f '(x) changes from positive to negative as x increases through a, then f (a) is a local maximum value. (ii) If the sign of f '(x) ..
Monotonic Function
A function is said to be monotonic if it is either increasing or decreasing but not both in a given interval. Consider the function The given function is increasing function on R. Therefore it is a monotonic function in [0,1]. It has its minimum value at x = 0 which..
A function is said to be monotonic if it is either increasing or decreasing but not both in a given interval. Consider the function The given function is increasing function on R. Therefore it is a monotonic function in [0,1]. It has its minimum value at x = 0 which..By polishing
Polishing the surfaces reduces the ruggedness between them. In an automobile when the piston moves in the cylinder the friction is reduced by polishing the surfaces, which are in contact. The jewel bearing and polished agate edges reduce the friction to a minimum. This is because by poli..
Maxima and Minima
Maxima and Minima - A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that f(a) f(x) for all x I The number f(a) is called the local maximum of f(x). The point a is called the point of maximum. Note that when 'a' is the point of local maxima, f(x) is h..
Maxima and Minima - A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that f(a) f(x) for all x I The number f(a) is called the local maximum of f(x). The point a is called the point of maximum. Note that when 'a' is the point of local maxima, f(x) is h..Population Control
Population Control - Increasing population is a serious issue, particularly in developing countries. It is necessary for every generation to produce more off springs because many individuals do not survive to reach the reproductive age due to natural causes. However, man has upset this eq..
Population Control
Increasing population is a serious issue, particularly in developing countries. It is necessary for every generation to produce more off springs because many individuals do not survive to reach the reproductive age due to natural causes. However, man has upset this equation as he has bee..
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