This is a useful topic for class 12 maths students and NATA maths students.
What are approximations?
Here, we use the concept of differential to find the approximate value of a function. We can find the values easily with a calculator as well! If y = f(x), we learn the differential of y, and learn the formulae used to calculate the approximate values of y. This video is application oriented. It focuses on solving problems based on the formula. We also learn about absolute error, approximate error and %error. As a teacher, I have found students getting confused about approximate error and actual value of the function.i have explained the difference in the video. So, watch this video to understand approximations.
This video is useful for Class 12 Maths students , ISC MATHS, CBSE MATHS and other boards.It is also useful for the NATA (maths) aptitude test for architecture
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For further help, you can enrol for my masterclass on Applications of Derivatives which involves derivative as a rate measure, approximations, tangent and normal, increasing and decreasing functions, maxima and minima problems. Students tend to find this topic difficult.
12. QUESTION 2
FIND THE APPROXIMATE CHANGE IN THE SURFACE AREA OF A CUBE OF SIDE X CM
BY INCREASING THE SIDE BY 1%
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16. QUESTION 3
IF THE RADIUS OF A SPHERICAL BALLOON CHANGES FROM 10 CM TO 9.8 CM,
FIND THE APPROXIMATE DECREASE IN ITS
VOLUME
SURFACE AREA
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21. QUESTION 4
IF THE RADIUS OF THE SPHERE IS 9 M WITH AN ERROR OF 0.03 M, FIND THE
APPROXIMATE ERROR IN CALCULATING THE VOLUME.
22.
23. QUESTION 5
FIND THE PERCENTAGE ERROR IN COMPUTING THE SURFACE AREA OF A CUBICAL
BOX IF AN ERROR OF 1% IS MADE IN MEASURING THE LENGTHS OF THE EDGES OF
THE BOX.
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27. • WE HAVE LEARNT HOW TO CALCULATE THE APPROXIMATE CHANGE IN Y, FOR
ANY CHANGE IN X, WHERE Y = F (X)
• CALCULATION OF APPROXIMATE ERROR
• CALCULATION OF RELATIVE ERROR AND % ERROR.
