Question: Please show all work needed. Thank you 2. (12 points) The piece-wise function g(9) is given by A sec2 + I 2 tan + A

Please show all work needed. Thank you

2. (12 points) The piece-wise function g(9) is given by A sec2

2. (12 points) The piece-wise function g(9) is given by A sec2 + I 2 tan + A (a) (6 points) Determine the value of the constant A so that g(9) is continuous on the intercal (O, IT 12). (b) (6 points) Using the value for A from part is g(O) differentiable on the interval (O, Ir/2)? Explain yxur answer.

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