Consider J(x) = 4x +5 on the interval [0, 31. (a) Sketch the region that lies under the parabola y = f(r) over the interval [0, 3]; (b) Use (i) the trapezoidal rule and (ii) the middle point rule to find the approximate area of the region with n = 10; (c) Find the expression for the Riemann sum Rn, the sum of the areas of the n approximating rectangles, by taking the regular partition and to be the right endpoint of the th subinterval, i = 1,2..., n; Calculate R10; (d) Find the exact area of the region by taking lim R, obtained in part (c); 84x (e) Verify your result using the definite integral of f(x) over the interval [0, 3].

Consider J(x) = 4x +5 on the interval [0, 31. (a) Sketch the region that lies under the parabola y = f(r) over the interval [0, 3]; (b) Use (i) the trapezoidal rule and (ii) the middle point rule to find the approximate area of the region with n = 10; (c) Find the expression for the Riemann sum Rn, the sum of the areas of the n approximating rectangles, by taking the regular partition and to be the right endpoint of the th subinterval, i = 1,2..., n; Calculate R10; (d) Find the exact area of the region by taking lim R, obtained in part (c); 84x (e) Verify your result using the definite integral of f(x) over the interval [0, 3].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 46E

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