Show all of your work, even though the question [my not explicitly remind you to do so. Clearly,I label any functions, graphs, tables, or other objects that you use. Justications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, denitions, or tests are applied. Your work will he scored on the correctness and completeness of your methods as well E your answers. Answers without supporting work will usually not receive credit. Unless outer-wise specied. answers (numeric or algehniic} need not be simplied. If your answer is given as a decimal approximation. it should be contact to three plaoes alter the decimal point. Unless otherwise specied, the domain ofa inction f is assumed to he the set. ofall real numbers 2'. for which I [at]: is a real number. t} hogtied N{e)= 25t+15tl irtsi mum owns: {Wigs The number ofslt in a pond at time it years is modeled by the function N dened above, where f is a continuous function such that ll} = 80. [a] Find ,[IgN {#1 Explain the meaning arm!\" (at) in the context oflhe problem. @ Please respond on separate paper, following directions from your teacher. [11} Is the function Neonthiuous alt = 3 ':' Justify your answer. Q Please respond on separate paper, folloning directions from your teacher. in) The rnction N is continuous at r = E. Is there a time t. for U S t 5 li. at which N it] = 250 '3' Justify your answer. @ Please respmd on separate paper. following directions 'orn your teacher