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Midterm Exam: Maclaurin & Geodesic

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23 views2 pages

Midterm Exam: Maclaurin & Geodesic

Uploaded by

Maqsood Alam
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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DHA Suffa University

Mid Term Examination # 2


Course Code: Preparatory Mathematics Date: 07/11/12
Time Allowed: 50 minutes Fall 2012 Max. Marks:30

Instruction: Attempt all questions.

Q1: Write down the Maclaurin series expansion of starting with the simplest version

, add terms one at a time to approximate . After each new term is added,

Compute the True and Approximate percent relative error. You can use pocket calculator to
determine the true value. Add terms until the absolute value of the approximation error estimate
fall below an error criterion conformation to two significant figures.

Q2: Determine the shortest distance (Geodesic) between Karachi and Makkah and also find the
direction (Bearing) of Qibla from Karachi. The Latitudes and Longitudes are given below.

Latitude Longtitude
Karachi

Makkah

Write your answer in the units of Mile, Nautical miles, Kilometers, and Feets.

Q3: Use zero- through fourth order Taylor series expansions to predict for using a base
point at . Compute the true percent relative error for each
approximation. Discuss the
meaning of the results.
-----------------------------------------------Best of Luck--------------------------------------------

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