Differentials Supplementary Exercises

Differentials Supplementary Exercises -...

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Unformatted text preview: Differentials
Supplementary
Exercises
 
 Use
differentials
to
estimate
the
following.

Keep
your
answers
exact
by
using
 fractions.
 
 1. (a)

 3 9 

(b)
 3 7 











Use
 f ( x ) = 3 x at x = 8.
 2. (a)

 5 30 

(b)
 5 34 
 € 3. (a)

 5 2 


(b)
 3.5 2 
 € € 
€ € Solutions:
 € € 1. (a)
 3 9 ≈ (b)
 3 7 ≈ € € 25 12 dy = 11 1 ⋅ (+1) = 34 12 Compute 3 8 + dy 
 Compute 3 8 + dy 

 3 3 23 11 1 









 dy = ⋅ (-1) = 12 34 12 2. (a)

 5 30 ≈ 5 32 + € 1 79 ⋅ (−2) = 


 80 40 1 81 ⋅2= 
 80 40 (b)
 5 34 ≈ 5 32 + € € 
 
 3. (a)

 5 3 2 ≈4 2 3 2 31 + ⋅ 4 2 (1) = 11 



 2 2 (b)
 3.5 3 ≈4 3 + 3 1 2 1 13 ⋅ 4 − = 
 2 2 2 € € ...
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This note was uploaded on 01/15/2011 for the course MATH 102 taught by Professor Maryamnamazi during the Spring '10 term at University of Victoria.

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