(a) Estimate the area under the graph of the functionf (x)1x+4η = 10 subintervals and right endpoints.=from x =Round your answer to four decimal places.area = Number=(b) Estimate the area under the graph of the function1f(x)x+4η = 10 subintervals and left endpoints.from x0 to x = 4 using a Riemann sum with=area = Number0 to x = 4 using a Riemann sum withRound your answer to four decimal places.

Given function is f(x)=1x+4 from x=0 to x=4Then ⇒To find the area under the curve f(x) from x=a to…

Answered: (a) Estimate the area under the graph…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Related questions

Question

(a) Estimate the area under the graph of the function
f (x)
1
x+4
η = 10 subintervals and right endpoints.
=
from x =
Round your answer to four decimal places.
area = Number
=
(b) Estimate the area under the graph of the function
1
f(x)
x+4
η = 10 subintervals and left endpoints.
from x
0 to x = 4 using a Riemann sum with
=
area = Number
0 to x = 4 using a Riemann sum with
Round your answer to four decimal places.

Expert Solution

Step 1

$Given function is f (x) = \frac{1}{x + 4} from x = 0 to x = 4 Then \Rightarrow To find the area under the curve f (x) from x = a to x = b using riemann sum with n subintervals and right endpints . A = \frac{b - a}{n} \sum_{i = 1}^{n} f (x_{i}) where x_{i} = x_{i - 1} + \frac{b - a}{n} \Rightarrow To find the area under the curve f (x) from x = a to x = b using riemann sum with n subintervals and left endpints . A = \frac{b - a}{n} \sum_{i = 0}^{n - 1} f (x_{i}) where x_{i} = x_{i - 1} + \frac{b - a}{n}$