Calculus
posted by Anonymous .
y = f(x) = x^2  6 x
(a) Find the average rate of change of y with respect to x in the following intervals.
from x = 2 to x = 3
from x = 2 to x = 2.5
from x = 2 to x = 2.1
(b) Find the (instantaneous) rate of change of y at x = 2.

to find the average slope between x = a and x = b
average slope = [Y(b)Y(a)] / [ba]
so for example from x = 2 to x = 3
average slope = [ 9  (8) ] / [32]
= 1
for part b you want dy/dx at x = 2
dy/dx = 2 x  6
= 2
Respond to this Question
Similar Questions

math
Let f be defined as follows. y = f(x) = x^2  4 x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 5 to x = 6 from x = 5 to x = 5.5 from x = 5 to x = 5.1 (b) Find the (instantaneous) rate … 
calculus
At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in atmospheres) by the formula V(p) = 1/p (a) What is the average rate of change of V with respect to p as p increases from p = 7 to … 
Calculus
Let f be defined as follows. y = f(x) = x^2  4 x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 5 to x = 5.5 For some reason I keep getting this wrong. The way I did it was: f((5.5)f(5))/(x2x1)= … 
calculus
Let f be defined as follows. F(x)=y=x^2 7 (a) Find the average rate of change of y with respect to x in the following intervals. from x = 4 to x = 5 from x = 4 to x = 4.5 from x = 4 to x = 4.1 (b) Find the (instantaneous) rate of … 
CALC SHOULD BE EASYISH
Let f be defined as follows. F(x)=y=x^2 7 (a) Find the average rate of change of y with respect to x in the following intervals. from x = 4 to x = 5 from x = 4 to x = 4.5 from x = 4 to x = 4.1 (b) Find the (instantaneous) rate of … 
math
Let f be defined as follows. y=f(x)=x^212x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 5 to x = 6 ? 
calculus
No idea where to start The cost in dollars of producing x units of a particular camera is C(x) = x2  10000. (10 points) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x … 
calculus
What is the instantaneous slope of y =8/x at x = 3? 
Calculus
The volume V of a growing spherical cell is V =4/3πr^3, where the radius is measured in micrometers (1 µm = 10^−6m). Find the average rate of change of V with respect to r when r changes from 3 to each of the following. … 
Calculus
y = f(x) = x^2  3 x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 2 to x = 3 Incorrect: Your answer is incorrect. from x = 2 to x = 2.5 Incorrect: Your answer is incorrect. from x …