Science:Math Exam Resources/Courses/MATH104/December 2013/Question 06 (a)
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Question 06 (a) 

Use the linear approximation to at to approximate 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

The linear approximation to a function f(x) centered at the point x = a is given by 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Using the formula for linear approximation to a function near , we have Since 7 is somewhat close to 8, we can estimate by evaluating L(7). Thus, 