Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for- mulas and Riemann sums. Consider the function f(x) sin² (r) on the interval [-7,7]. Here's a graph on Desmos. 1. Sketch the curve and draw approximating rectangles for the left-endpoint and right-endpoint approx- imations with n = 8. 2. Write down the sum to find the left-endpoint approximation with n = 8; then approximate it (you can use a spreadsheet; round to 4 decimal places.) Note: if you see something like 1.49976E-32, that's a rounding error; the E-32 means it's 0.0000000000000000000000000000000149, so it's actually 0 and the calculator/Excel lied to you.. 3. Write down the sum to find the right-endpoint approximation with n = 8; then approximate it (you can use a spreadsheet; round to 4 decimal places.)
Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for- mulas and Riemann sums. Consider the function f(x) sin² (r) on the interval [-7,7]. Here's a graph on Desmos. 1. Sketch the curve and draw approximating rectangles for the left-endpoint and right-endpoint approx- imations with n = 8. 2. Write down the sum to find the left-endpoint approximation with n = 8; then approximate it (you can use a spreadsheet; round to 4 decimal places.) Note: if you see something like 1.49976E-32, that's a rounding error; the E-32 means it's 0.0000000000000000000000000000000149, so it's actually 0 and the calculator/Excel lied to you.. 3. Write down the sum to find the right-endpoint approximation with n = 8; then approximate it (you can use a spreadsheet; round to 4 decimal places.)
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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![Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for
mulas and Riemann sums.
Consider the function f(x) = sin²(x) on the interval [-7, 7]. Here's a graph on Desmos.
1. Sketch the curve and draw approximating rectangles for the left-endpoint and right-endpoint approx-
imations with n = 8.
2. Write down the sum to find the left-endpoint approximation with n = 8; then approximate it (you
can use a spreadsheet; round to 4 decimal places.) Note: if you see something like 1.49976E-32, that's
a rounding error; the E-32 means it's
0.0000000000000000000000000000000149, so it's actually 0 and the calculator/Excel lied to you..
3. Write down the sum to find the right-endpoint approximation with n = 8; then approximate it (you
can use a spreadsheet; round to 4 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd375a7e5-ad67-4b21-afad-3fb7503a0e18%2Fb052b862-d9e9-4c8a-9326-1df8dc09067c%2F3861aom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for
mulas and Riemann sums.
Consider the function f(x) = sin²(x) on the interval [-7, 7]. Here's a graph on Desmos.
1. Sketch the curve and draw approximating rectangles for the left-endpoint and right-endpoint approx-
imations with n = 8.
2. Write down the sum to find the left-endpoint approximation with n = 8; then approximate it (you
can use a spreadsheet; round to 4 decimal places.) Note: if you see something like 1.49976E-32, that's
a rounding error; the E-32 means it's
0.0000000000000000000000000000000149, so it's actually 0 and the calculator/Excel lied to you..
3. Write down the sum to find the right-endpoint approximation with n = 8; then approximate it (you
can use a spreadsheet; round to 4 decimal places.)
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