Approximations will require the use of a TI calculator or a CAS. Watch any of this week's videos on integral approximations to get an illustration of how to do it in wxMaxima, or watch the video on summation notation to see it done with a TI calculator. 1.. Approximate the definite integral ſ. dr by using a left-sided Riemann sum with n=20. a. Compute the subinterval width as a decimal: Ax= b. Write down the 7th cut-point in terms of i: x₁ = c. Express the sum approximating the integral in terms of x¡, x¡-1 and Ax : Σ d. Sub in the expressions for X₁, X-₁ and Ax in terms of i, to get a sum that's ready to compute with technology: Σ I= e. Use a calculator or CAS to compute the sum and round your answer to the thousandths place. Indicate the technology you used and what you typed in to approximate the sum. Technology: INPUT:
Approximations will require the use of a TI calculator or a CAS. Watch any of this week's videos on integral approximations to get an illustration of how to do it in wxMaxima, or watch the video on summation notation to see it done with a TI calculator. 1.. Approximate the definite integral ſ. dr by using a left-sided Riemann sum with n=20. a. Compute the subinterval width as a decimal: Ax= b. Write down the 7th cut-point in terms of i: x₁ = c. Express the sum approximating the integral in terms of x¡, x¡-1 and Ax : Σ d. Sub in the expressions for X₁, X-₁ and Ax in terms of i, to get a sum that's ready to compute with technology: Σ I= e. Use a calculator or CAS to compute the sum and round your answer to the thousandths place. Indicate the technology you used and what you typed in to approximate the sum. Technology: INPUT:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Approximations will require the use of a TI calculator or a CAS. Watch any of this week's videos on integral
approximations to get an illustration of how to do it in wxMaxima, or watch the video on summation notation to see it
done with a TI calculator.
1.. Approximate the definite integral ſ. dr by using a left-sided Riemann sum with n=20.
a. Compute the subinterval width as a decimal:
Ax=
b. Write down the 7th cut-point in terms of i:
x₁ =
c. Express the sum approximating the integral in terms of x¡, x¡-1 and Ax :
Σ
d. Sub in the expressions for X₁, X-₁ and Ax in terms of i, to get a sum that's ready to compute with technology:
Σ
I=
e. Use a calculator or CAS to compute the sum and round your answer to the thousandths place. Indicate the technology
you used and what you typed in to approximate the sum.
Technology:
INPUT:
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