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8. [Geogebra Question] Let f(r) = VT+2³. Use Geogebra to approximate the area under the graph of f(r) using trapezoids on the interval [–1, 1]. • Open Geogebra with: https://geogebra.org/cas Define f(r) (a) Use Geogebra to evaluate the integral / 5(2) da dr. Use the Integral (f(x),a,b) command. Press the = button for a numerical answer. (b) By hand, approximate the integral / f(x) dx using the Trapezoidal Rule and n= 4 intervals. (c) Use Geogebra to check your answer in (b) using the command TrapezoidalSum (f(x),-1,1,4). (d) Use Geogebra to approximate the area with 40 trapezoids. (e) Use Geogebra to approximate the area with 400 trapezoids. (f) Compare your approximations in (c), (d), and (e) to the area in (a). What do you observe with the approximations as we increase the number of trapezoids? Submit a photo or screenshot of your written answer in (b) and (f), and screenshots of your Geogebra code for (a), (c), (d), and (e). Note: Question 7 parts (a), (c), (d), and (e) must be done in Geogebra.

8. [Geogebra Question] Let f(r) = VT+2³. Use Geogebra to approximate the area under the graph of f(r) using trapezoids on the interval [–1, 1]. • Open Geogebra with: https://geogebra.org/cas Define f(r) (a) Use Geogebra to evaluate the integral / 5(2) da dr. Use the Integral (f(x),a,b) command. Press the = button for a numerical answer. (b) By hand, approximate the integral / f(x) dx using the Trapezoidal Rule and n= 4 intervals. (c) Use Geogebra to check your answer in (b) using the command TrapezoidalSum (f(x),-1,1,4). (d) Use Geogebra to approximate the area with 40 trapezoids. (e) Use Geogebra to approximate the area with 400 trapezoids. (f) Compare your approximations in (c), (d), and (e) to the area in (a). What do you observe with the approximations as we increase the number of trapezoids? Submit a photo or screenshot of your written answer in (b) and (f), and screenshots of your Geogebra code for (a), (c), (d), and (e). Note: Question 7 parts (a), (c), (d), and (e) must be done in Geogebra.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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5.8) calculus homework, need help

8. [Geogebra Question] Let f(x) = VI+x³. Use Geogebra to approximate the area under the graph of f(x) using trapezoids on the interval [-1, 1]. • Open Geogebra with: https://geogebra.org/cas • Define f(x) (a) Use Geogebra to evaluate the integral / f(x) dr. Use the Integral (f(x),a,b) command. Press the button for a numerical answer. (b) By hand, approximate the integral | f(x) dx using the Trapezoidal Rule and n = 4 intervals. (c) Use Geogebra to check your answer in (b) using the command TrapezoidalSum(f(x),-1,1,4). (d) Use Geogebra to approximate the area with 40 trapezoids. (e) Use Geogebra to approximate the area with 400 trapezoids. (f) Compare your approximations in (c), (d), and (e) to the area in (a). What do you observe with the approximations as we increase the number of trapezoids? Submit a photo or screenshot of your written answer in (b) and (f), and screenshots of your Geogebrа сode for (a), (с), (а), and (e). Note: Question 7 pаrts (a), (c), (d), and (e) must be done in Geogebra.
Transcribed Image Text:8. [Geogebra Question] Let f(x) = VI+x³. Use Geogebra to approximate the area under the graph of f(x) using trapezoids on the interval [-1, 1]. • Open Geogebra with: https://geogebra.org/cas • Define f(x) (a) Use Geogebra to evaluate the integral / f(x) dr. Use the Integral (f(x),a,b) command. Press the button for a numerical answer. (b) By hand, approximate the integral | f(x) dx using the Trapezoidal Rule and n = 4 intervals. (c) Use Geogebra to check your answer in (b) using the command TrapezoidalSum(f(x),-1,1,4). (d) Use Geogebra to approximate the area with 40 trapezoids. (e) Use Geogebra to approximate the area with 400 trapezoids. (f) Compare your approximations in (c), (d), and (e) to the area in (a). What do you observe with the approximations as we increase the number of trapezoids? Submit a photo or screenshot of your written answer in (b) and (f), and screenshots of your Geogebrа сode for (a), (с), (а), and (e). Note: Question 7 pаrts (a), (c), (d), and (e) must be done in Geogebra.
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