Calc Storyboard1

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  • 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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