Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(a) The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second. The data obtained are: t t x X 0.0 0.5 1.0 1.5 2.0 0.00 3.65 6.80 9.90 12.15 Use central differences to approximate the runners velocity at times t = 1.0 s and t = 1.75 s. (b) Use the midpoint rule with 4 intervals to approximate, correct to 3 decimal places, the area bounded by the curve y = ex², the x-axis, and the ordinates at x = 0 and x = 1.

(a) The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second. The data obtained are: t t x X 0.0 0.5 1.0 1.5 2.0 0.00 3.65 6.80 9.90 12.15 Use central differences to approximate the runners velocity at times t = 1.0 s and t = 1.75 s. (b) Use the midpoint rule with 4 intervals to approximate, correct to 3 decimal places, the area bounded by the curve y = ex², the x-axis, and the ordinates at x = 0 and x = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
See similar textbooks
icon
Related questions
Question

elec eng maths please help with a and b

(a) The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second. The data obtained are: t t X X 0.0 0.5 1.0 1.5 2.0 0.00 3.65 6.80 9.90 12.15 Use central differences to approximate the runners velocity at times t = 1.0 s and t = 1.75 s. (b) Use the midpoint rule with 4 intervals to approximate, correct to 3 decimal places, the area bounded by the curve y = ex², the x-axis, and the ordinates at x = 0 and x = 1.
Transcribed Image Text:(a) The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second. The data obtained are: t t X X 0.0 0.5 1.0 1.5 2.0 0.00 3.65 6.80 9.90 12.15 Use central differences to approximate the runners velocity at times t = 1.0 s and t = 1.75 s. (b) Use the midpoint rule with 4 intervals to approximate, correct to 3 decimal places, the area bounded by the curve y = ex², the x-axis, and the ordinates at x = 0 and x = 1.
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS