Part (a) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = x/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 of 4 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle. So we must calculate R₁ = f(x;)&x = [f(x1) + f(x₂) + f(x3) + f(x4)] 4x, where x₁, X₂, x3, x4 represent the right-hand endpoints of four equal sub-intervals of [0,1]. Since we wish to estimate the area over the interval [0] using 4 rectangles of equal widths, then each rectangle will have width 4x = Submit Skip (you cannot come back) Part (b) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x= x/2. Use four approximating rectangles and left endpoints. Is your estimate an underestimate or an overestimate? Click here to begin!
Part (a) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = x/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 of 4 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle. So we must calculate R₁ = f(x;)&x = [f(x1) + f(x₂) + f(x3) + f(x4)] 4x, where x₁, X₂, x3, x4 represent the right-hand endpoints of four equal sub-intervals of [0,1]. Since we wish to estimate the area over the interval [0] using 4 rectangles of equal widths, then each rectangle will have width 4x = Submit Skip (you cannot come back) Part (b) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x= x/2. Use four approximating rectangles and left endpoints. Is your estimate an underestimate or an overestimate? Click here to begin!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
5.1 q2
![Part (a)
Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate?
Step 1 of 4
Rectangle areas are found by calculating height x width.
The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle.
So we must calculate R₁ =
i = 1
F(x;)Ax = [f(x1) + f(x₂) + f(x3) + f(x4)] Ax, where x₁, X2, X3, X4 represent the right-hand endpoints of four equal sub-intervals of [0,1].
Since we wish to estimate the area over the interval [0, using 4 rectangles of equal widths, then each rectangle will have width 4x =
Submit Skip (you cannot come back)
Click here to begin!
Part (b)
Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and left endpoints. Is your estimate an underestimate or an overestimate?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde7e2b0b-f5ea-4f15-a45e-7d9586bc1685%2F3cce30a6-3f2f-4b0f-b370-1a9a20c9dbb8%2F2e4lug6_processed.png&w=3840&q=75)
Transcribed Image Text:Part (a)
Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate?
Step 1 of 4
Rectangle areas are found by calculating height x width.
The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle.
So we must calculate R₁ =
i = 1
F(x;)Ax = [f(x1) + f(x₂) + f(x3) + f(x4)] Ax, where x₁, X2, X3, X4 represent the right-hand endpoints of four equal sub-intervals of [0,1].
Since we wish to estimate the area over the interval [0, using 4 rectangles of equal widths, then each rectangle will have width 4x =
Submit Skip (you cannot come back)
Click here to begin!
Part (b)
Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and left endpoints. Is your estimate an underestimate or an overestimate?
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