A continuously decreasing function that is concave down on the interval [0, 4] is represented by the table. X 0 1.5 2.1 3.6 4 f(x) 0 -2.25 -4.41 -12.96-16 Part A: Find the left Riemann sum estimate for f(x) dx, using the subintervals given in the table. Part B: Find the right Riemann sum estimate of for f(x)dx, using the subintervals given in the table. f f Part C: Find the trapezoidal estimate of f(x)dx, using the subintervals given in the table. Part D: Determine whether the left Riemann sum estimate is an overestimate or an underestimate, based on the properties of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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A continuously decreasing function that is concave down on the interval [0, 4] is represented by the table.
X 0 1.5 2.1
3.6
4
f(x) 0 -2.25 -4.41 -12.96-16
Part A: Find the left Riemann sum estimate for f(x) dx, using the subintervals given in the table.
Part B: Find the right Riemann sum estimate of for f(x)dx, using the subintervals given in the table.
f f
Part C: Find the trapezoidal estimate of f(x)dx, using the subintervals given in the table.
Part D: Determine whether the left Riemann sum estimate is an overestimate or an underestimate, based on the properties of the function.
Transcribed Image Text:A continuously decreasing function that is concave down on the interval [0, 4] is represented by the table. X 0 1.5 2.1 3.6 4 f(x) 0 -2.25 -4.41 -12.96-16 Part A: Find the left Riemann sum estimate for f(x) dx, using the subintervals given in the table. Part B: Find the right Riemann sum estimate of for f(x)dx, using the subintervals given in the table. f f Part C: Find the trapezoidal estimate of f(x)dx, using the subintervals given in the table. Part D: Determine whether the left Riemann sum estimate is an overestimate or an underestimate, based on the properties of the function.
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