Approximation | Ch 05 | Application Of Differentiation 03 Notes ; Polytechnic
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Approximation | Ch 05 | Application Of Differentiation 03 Notes ; Polytechnic
Hey Everyone, How are you ... Today I will show you How to Calculate Value of Error & Approximate Value Of Function | chapter 05 | Application Of Differentiation , Which Is Module 02 Of Applied mathematics 02 .
- Lecture 03 ( Topics ) :
1 ) Approximation - Basic Concept .
2 ) Some Important Questions .
3 ) Lecture Related Questions.
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| ( Overview Of Lecture ) |
1 ) Approximation - Basic Concept .
Let Be a Function F ( x ) = ✓ 36.6
Step 01 ) Identify the function
F (X ) = y = √x
Step 02 ) According to Function Find Perfect value Of X ,
X = 36 & ∆ X = 0.6
Where ,
Quantity Given in Question - Prefect x
Step 03 ) ∆ Y = F ( X +∆X ) - F ( X )
∆ Y = F (36.6 ) - F ( 36 )
√ 36.6 = 6 + ∆y
Step 04 ) ∆y = dy / dx × ∆ x
∆y = 1/2√x × 0.6 = 0.05
Step 05 ) √ 36.6 = 6 + 0.05 = 6.05
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| ( Basic Concept ) |
2 ) Some Important Questions
Question 01 )
Use Differentials to approximate ( 25 )^ 1/3
Solution : View On This Page
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| ( Question 01 ) |
Question 02 )
Use Differentials to find the approximate value of ( 255 ) ^ 1 /4
Solution : View On This Page
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| ( Question 02 ) |
Question 03 )
The Radius Of Spherical Balloon Increase by 0.20 % Find The Approximate percentage Increase in the volume .
Solution : View On This Page
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| ( Question 03 ) |
Question 04 )
If An Error Committed in measuring the side of square by 4% .determine the error in calculating the area.
Solution : View On This Page
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| ( Question 04 ) |
- Lecture Related Questions ;
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| ( Lecture Related Question ) |
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