Evaluate the following integral: a. Analytically b. singleapplicationofthetrapezoidalrule c. multiple-application trapezoidal rule, with n = 2 and 4 d. singleapplicationofSimpson’s1/3rule e. multiple-application Simpson’s 1/3 rule, with n = 4 f. single application of Simpson’s 3/8 rule g. multiple-applicationSimpson’srule,withn=5. h. Three-Point Gauss Quadrature Note: For each of the numerical estimates (b) through (h), determine the percent relative error based on (a).

Evaluate the following integral: a. Analytically b. singleapplicationofthetrapezoidalrule c. multiple-application trapezoidal rule, with n = 2 and 4 d. singleapplicationofSimpson’s1/3rule e. multiple-application Simpson’s 1/3 rule, with n = 4 f. single application of Simpson’s 3/8 rule g. multiple-applicationSimpson’srule,withn=5. h. Three-Point Gauss Quadrature Note: For each of the numerical estimates (b) through (h), determine the percent relative error based on (a).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.3: The Chain Rule

Problem 4YT: YOUR TURN Find dy/dx if y=5x2-6x-2.

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