Homework Help is Here – Start Your Trial Now!
Math
Calculus
4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹4 term. (You may use the Maclaurin series for sin(z) without deriving it.) (ii) Find an approximation for sin (2²) dz correct to 4dp. [Hint: Use your answer to part (i).] Page 12 20 (iii) Determine an approximation to sin(a) da by applying Simpson's rule with 8 equal intervals. Give your answer correct to 4dp.

4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹4 term. (You may use the Maclaurin series for sin(z) without deriving it.) (ii) Find an approximation for sin (2²) dz correct to 4dp. [Hint: Use your answer to part (i).] Page 12 20 (iii) Determine an approximation to sin(a) da by applying Simpson's rule with 8 equal intervals. Give your answer correct to 4dp.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
See similar textbooks
icon
Related questions
Question
4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹ term. (You may use the Maclaurin series for sin(z) without deriving it.) (ii) Find an approximation for sin (2²) dz correct to 4dp. [Hint: Use your answer to part (i).] Page 12 20 (ii) Determine an approximation to sin(2²)dz by applying Simpson's rule with 8 equal intervals. Give your answer correct to 4dp.
Transcribed Image Text:4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹ term. (You may use the Maclaurin series for sin(z) without deriving it.) (ii) Find an approximation for sin (2²) dz correct to 4dp. [Hint: Use your answer to part (i).] Page 12 20 (ii) Determine an approximation to sin(2²)dz by applying Simpson's rule with 8 equal intervals. Give your answer correct to 4dp.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer