If u and v are positive constants, find all critical points of f(t)=uet+ve−t. enclose arguments of functions, numerators, and denominators in parentheses. for example, sin(2x) or (a−b)/(1+n). t= equation editor common ω matrix ab ab ab acb π a‾√ a‾√n |a| ∪ [infinity] sin(a) cos(a) tan(a) sec(a) csc(a) cot(a) sin−1(a) cos−1(a) tan−1(a) ddx ∫fdx ∫abfdx

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.