# Science:Math Exam Resources/Courses/MATH110/April 2018/Question 08 (b)

MATH110 April 2018
Other MATH110 Exams

### Question 08 (b)

In this question you will approximate the value of ${\textstyle e^{0.5}}$ in two different ways and answer a few questions about your calculations. Make sure you justify your answers. Answers without justification will not receive any points.

You may assume that ${\textstyle e=2.718281...}$.

(b) Find another estimate of ${\textstyle e^{0.5}}$ using a linear approximation of ${\textstyle f(x)={\sqrt {x}}}$ at ${\textstyle a=1}$. You do not need to simplify your answer (i.e. you may leave your answer in “calculator ready” form).

 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!

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