can you show steps taken in solving these four problems.

Find the first three nonzero terms of the Maolaurin expansion of the given function. f(x)= In (1 +4x) The displacement y (in cm) of an object hung vertically from a spring and allowed to oscillate is given by the equation shown below, where t is the time (in s). Find the first three terms of the Maclaurin expansion of this function. y = ge- costFor the circuit shown to the right, after the switch is closed, the transient current i (in A) is given by i = 2.5 (1 + L7 021) . Find the rst three nonzero terms of the Maolaurin expansion of this function. WA] 10 Q i 109 3.0 u? 75v Evaluate the given function by using three terms of the appropriate Taylor series. 4? : (Round to four decimal places as needed.)