Homework Help

What is the answer for question 5.a) http://postimg.org/image/v5kc6rfpp/

user profile pic

lkballer24 | Student, Grade 11 | Valedictorian

Posted April 22, 2013 at 7:05 PM via web

dislike 1 like

What is the answer for question 5.a)

http://postimg.org/image/v5kc6rfpp/

1 Answer | Add Yours

user profile pic

rcmath | High School Teacher | (Level 1) Associate Educator

Posted April 22, 2013 at 7:54 PM (Answer #1)

dislike 1 like

The question states: Find the slope of the secant to the curve defined by `f(x)=0.25(4)^x-2`
Between 0 and 1
Between 0 and 0.5
Between 0 and 0.1
Between 0 and 0.01

Answer:

The slope of the secant line is defined by `m=(f(x_1)-f(x_0))/(x_1-x_0)`
So between 0 and 1 we have `((0.25*4-2)-(0.25*4^0-2))/1=(1-2-0.25+2)=0.75`  
We repeat the same work for the rest. The answers will be:

`(0.25*4^(.5)-2-0.25+2)/0.5=0.5`

`(0.25*4^.1-2-0.25+2)/0.1=0.3717`

`(0.25*4^0.01-2-0.25+2)/0.01=0.3490`

 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes