I need this ASAP

1. {a} Find the first four nonzero terms of the Taylor Eeries for the function f(x) = cos(4x) centered at x = E. [Be sure you show the process using derivatives} to} Then write this Taylor Series using summation notation. {1U points] 2. Use the Maclaurin Series Reference Sheet. (8 pts) (a) Write out the first four nonzero terms of the infinite series equal to tan -(0.3). (b) Then, use these terms to approximate tan (0.3). Round to four decimal places.3. Use the Maclaurin Series Reference Sheet. (10 pts) Use the first four nonzero terms of a power series to estimate the integral J"tan- x dx. Round your answer to four decimal places