SOLUTION: Given that y = 4x^2-x-4, find the approximate percentage change in y as x increases from 2 to 2.02.

Algebra.Com
Question 1192303: Given that y = 4x^2-x-4, find the approximate percentage change in y as x increases from 2 to 2.02.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!







x = 2, dx = Δx = 0.02





dy is approximately Δy, so

the fractional change is approximately 
0.3/2 = 0.15 which equals the approximate
percentage change, 15%.

Edwin

RELATED QUESTIONS

Given that y = lm(x^2 - 4) for x > 2, find dy/dx. Hence, find, in terms of p , the... (answered by Boreal)
Given that y = x + cosx , find dy/dx and the approximate change in y when x increases... (answered by Fombitz)
Find the change in y when x increases by 1: y= -3x + 4 Or y= 2/3x + 7 (answered by Fombitz,Alan3354)
If z varies directly as x and inversely as y, find the percentage change in z if x... (answered by Boreal)
It is given that y varies directly as (x^(1/2)).If x is decreased by 64%, find the... (answered by macston,josgarithmetic)
Use the calculus to determine the approximate change in the area of a circle when the... (answered by Alan3354)
A positive correlation allows exist on a scatter plot when? 1) y remains unchanged as X... (answered by Boreal)
Z varies directly as the square of x and inversely as the square root of y. Find the... (answered by Boreal)
For y=x^2, find the average rate of change as a) x changes from 1 to 3 b) x changes... (answered by drk)