Tuesday

September 30, 2014

September 30, 2014

Posted by **Anonymous** on Thursday, June 6, 2013 at 6:58pm.

(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.

- Calculus -
**Damon**, Thursday, June 6, 2013 at 7:20pmto find the average slope between x = a and x = b

average slope = [Y(b)-Y(a)] / [b-a]

so for example from x = 2 to x = 3

average slope = [ -9 - (-8) ] / [3-2]

= -1

for part b you want dy/dx at x = 2

dy/dx = 2 x - 6

= -2

**Answer this Question**

**Related Questions**

calculus - Let f be defined as follows. F(x)=y=x^2 -7 (a) Find the average rate ...

CALC SHOULD BE EASYISH - Let f be defined as follows. F(x)=y=x^2 -7 (a) Find the...

math - Let f be defined as follows. y=f(x)=x^2-12x (a) Find the average rate of ...

math - Let f be defined as follows. y = f(x) = x^2 - 4 x (a) Find the average ...

Calculus - Let f be defined as follows. y = f(x) = x^2 - 4 x (a) Find the ...

calculus - At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is...

calculus - Just want to check and see if I am setting this up right. Let y=f(x)=...

calculus - Find the average rate of change f(x)=x^3-8x+9 a. from -3 to -2 b. ...

calculus - You are working as assistant to a major movie producer from Hollywood...

calculus - given y = 4x-3 find the minimum value of xy. find the rate of change ...