# Calc Storyboard1

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#### Storyboard Text

• Welcome To,       Birmingham Alabama﻿
• I think there is some math in this box. I'm gonna saw it open.﻿
• Welcome To,       Birmingham Alabama﻿
• It says to solve the limit algebraically﻿
• lim t->7﻿ (42-6t)/ (√(5t+14) - 7)
• Welcome To,       Birmingham Alabama﻿
• To solve the equation we first need to multiply by the reciprocal of √(5t+14)-7 which is √(5t+14)+7
• Welcome To,       Birmingham Alabama﻿
• Next we will factor -6 from 42-6t and 5 from 5t-35 allowing us ﻿to cancel out t-7 on top and bottom
• Welcome To,       Birmingham Alabama﻿
• Now that the equation is simplified to (-6(√﻿(5t+14)+7)) / 5, we plug in 7 for t and solve for the limit﻿
• Welcome To,       Birmingham Alabama﻿
• After plugging and chugging we get -84/5 or -16.8 as our limit.﻿
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