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Two calculus students were given that y' = 551123 005 at, and they were asked to nd y. 1 1 Student Aarrived at an answer

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Two calculus students were given that y' = 551123 005 at, and they were asked to nd y. 1 1 Student Aarrived at an answer of y = gain2 :1: + C, while Student B arrived at an answer of y = 756082 a: + 0. Both students received full credit for their responses. 1 . 1 Given that 551m2 :4: $5 7 56033 3:, it appears that the students arrived at completety different answers. 1 . 1 Without differentiating either student's function, explain why both representations for y are valid. You may want to consider the graphs of y = 51.112 3 a; and y = 75008 a: in your analysis

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