(a) Estimate the area under the graph of f(x) = sin x from x= 0 to x = π/2 using four approximating rectangles and right endpoints.Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate? (b) Repeat part(a) using left endpoints.
(a) Estimate the area under the graph of f(x) = sin x from x= 0 to x = π/2 using four approximating rectangles and right endpoints.Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate? (b) Repeat part(a) using left endpoints.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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(a) Estimate the area under the graph of f(x) = sin x from
x= 0 to x = π/2 using four approximating rectangles and right endpoints.Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate?
(b) Repeat part(a) using left endpoints.
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Step 1 :Basic information
VIEWStep 2: Right hand Riemann Sum.
VIEWStep 3: Sketch of Right hand Riemann Sum
VIEWStep 4: Comparison of Right hand Riemann sum with integration.
VIEWStep 5 ; Left hand Riemann sum
VIEWStep 6: Sketch of the Left hand Riemann sum
VIEWStep 7: Comparison of Left hand Riemann sum with integration.
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