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t\\geq 0

, let a_n\\equal{}\\int_0^ t e^{nx}\\ dx\\ (n\\equal{}0,\\ 1,\\ 2,\\ 3).\r\n\r\n(1) Show that a_3\\minus{}3a_2\\plus{}3a_1\\minus{}a_0\\geq 0.\r\n\r\n(2) Show that e^ta_0\\plus{}(e^t\\minus{}1)a_1\\minus{}a_2\\geq 0."}}]}]}]]}],"$L26"]}]]}]