+0  
 
+1
94
1
avatar

Thanks

Guest Jan 30, 2018
edited by Guest  Feb 1, 2018
edited by Guest  Feb 1, 2018
 #1
avatar+86859 
+1

4)If f(x)=2x^3 −5x^2 −7,find f(h−1).

 

So we have

 

2 (h - 1)^3  - 5(h - 1)^2  -  7   =

 

2( h^3  -  3h^2 +  3h - 1 )  -  5 (h^2 - 2h  + 1)  - 7   =

 

2h^3  - 6h^2  + 6h  -  2  -  5h^2  + 10h  -  5  -  7   =

 

2h^3  -  11h^2  +  16h  - 14

 

 

5)  Find the average rate of change of f (x) = 2x^2 − 5x −12 over the interval [–2,–2+h], whereh>0.

 

 

We have

 

[   (  2 ( -2 + h)^2  - 5 ( -2 + h) -  12)   -  ( 2(-2)^2 - 5(-2) - 12 )  ]  /  [ (- 2 + h)  - (-2) ]  =

 

[  (  2 (h^2 - 4h + 4)  + 10 - 5h - 12 )  -  ( 8  + 10 - 12 ) ]  /  h  =

 

[ 2h^2  -  8h  + 8  +  10  - 5h  - 12   - 8  - 10  + 12 ]  / h  =

 

[  2h^2   - 13h ] /  h   =

 

h ( 2h - 13)  /  h  =

 

2h - 13

 

 

 

6) The value of a boat is $800,000 in year 2006 and it depreciates $30,000 per year, after year 2006. Find a model to represent the boat’s value V(in $1000) as a function of t. Variable t represents the number of years t after year 2006. 

 

We have that

 

V(t)   =  800  -  30t

 

Where  V(t)  is the value in thousands, t years  after 2006

 

 

cool cool cool

CPhill  Jan 30, 2018

10 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.