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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb12ec2b0-f630-4627-958d-b81fe2cc31de%2F4a205247-241d-4c76-9688-92bd19bd1246%2Ff9disnd_processed.jpeg&w=3840&q=75)
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.
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