Using method F above, find the first few terms of the Taylor series for the following functions about the given points.
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- The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.arrow_forwardPlease answer number 3arrow_forwardFind the first four non-zero terms of the Taylor series for the function f(x)= cos(-2x) For x near a = t. Build your terms "from scratch", do not use a series that you already know. 3.arrow_forward