# Science:Math Exam Resources/Courses/MATH102/December 2017/Question 09 (a)

MATH102 December 2017
Other MATH102 Exams

### Question 09 (a)

The function ${\textstyle y(t)}$ satisfies ${\textstyle y(3)=2}$ and ${\textstyle {\dfrac {dy}{dt}}={\dfrac {ty}{10}}}$.

The spreadsheet below will be used to approximate ${\textstyle y(3.5)}$ using Euler’s method. An arrow indicates that the entry of a cell will be copied down the column.

A B C D
1 ${\displaystyle \Delta t}$ ${\displaystyle t}$ ${\displaystyle y}$ ${\displaystyle y'}$
2 0.1 3 2 `=B2*C2/10`
3 `=B2+\$A\$2` ${\textstyle \downarrow }$
4 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$
5 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$
6 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$
7 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$
8 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$
9 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$
10 ${\textstyle \downarrow }$ ${\textstyle \downarrow }$ ${\textstyle \downarrow }$

(a) What should you type in cell C3? Try to make your syntax as accurate as possible.

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