Question: S. Find the first non-zero terms of the Taylor expansion for function x and a given value of a: then using obtained result evaluate

S. Find the first non-zero terms of the Taylor expansion for function x and a given value of a: then using obtained result evaluate this function, x, for a given values ot x. Crop one questbn at a tirne a. a=n/6, x=33 b. a-rt/4,x-4B C. a=Tt/3. X=63 d. a=rV2, Hint: Don't forget that angle x has to be substituted to expression of series in radians. Show your complete calculations. Compare your result with calculator value. Page Break 9. The time t (In years) for an investment to increase by i=O.10 (100/0) the interest rate is FO.06 (z 6%) is given by In(l i)Jr. For a numerical example given tEre it will be t: Inl.1/O.06 Evaluate this expression by using the first tour terms of the appropriate senes for follo"ng values ot i and r. You may use ready formulas from text for In (1+x) series. a. i=o.15. r=o.08 b. i-0.25, r:o.12 c. i-0.35, FO.15 d. i-045, r=o.19 Show your complete calculations. Compare your result calculator value. 10. Evaluate by using three terms of the expansion tor function sin x. Hint replace sin x with three terms of its series expanson. II. For the function given below sketch a graph Of the function, find indicated Fourier series coefficients (snow complete solutions) and calculate their numerical values. a. and a.

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6. It is what the person has previously done for the group that is the deciding factor.

3. It is the commitment you show that is the deciding factor.

4. It is the principle of equality (according to very specific criteria of equality) that is crucial.