Homework Help: calculus

Posted by lisa on Saturday, March 16, 2013 at 10:03pm.

Consider the interval I=[6,7.6]. Break I into four subintervals of length 0.4, namely the four subintervals
[6,6.4],[6.4,6.8],[6.8,7.2],[7.2,7.6].
Suppose that f(6)=19, f'(6)=0, f'(6.4)=−0.5, f'(6.8)=−0.1, and f'(7.2)=−0.1. What is the approximate value of f(7.6)?

calculus - bobpursley, Saturday, March 16, 2013 at 10:18pm
I bet it is (using the left side) is

first figure the values a the left side of each interval.

f(6)=given 19
f(6.4)=f(6)+.4*f'(6)=19
f(6.8)=f(6.4)+f'(6.4)*.4=19-.2= 18.8
f(7.2)=f(6.8)+f'(6.8)*.4=18.8-.04=18.76
f(7.6)=18.76-.4*.1=18.72

so check all those, it is easy to make an error when doing it on a keyboard.

Answer this Question

Related Questions

calculus - Consider the interval I=[6,7.6]. Break I into four subintervals of ...
calculus - Consider the interval I=[6,7.6]. Break I into four subintervals of ...
business calculus - Approximate the area under each curve over the specified ...
business calculus - Approximate the area under each curve by evaluating te ...
biology - Given the part of the molecule shown below, can the underlined atom ...
math - Let u = [3,−4] and v = [8, 15]. Calculate the four numbers |u...
math - Let u = [3,−4] and v = [8, 15]. Calculate the four numbers |u...
calculus - Calculate the left Riemann sum for the given function over the given ...
chemistry - For which of these elements would the electron affinity process ...
chemistry - For which of these elements would the electron affinity process ...

For Further Reading

First Name:
School Subject:
Answer: