Theory of Intelligence
11TH•Mathematics•Functions And Graphs•Question 4

(i) When will the building and the tree have the same height?

A building's height over time is modeled by $H(t)=100+20t$ (metres) where $t$ is the time in months. The height of a growing tree nearby is given by $T(t)=50+10t+t^2$.

(i) When will the building and the tree have the same height?

A building's height grows linearly according to H(t)=100+20tH(t) = 100 + 20t, while a giant tree's height grows quadratically according to T(t)=50+10t+t2T(t) = 50 + 10t + t^2 (tt in months, height in meters).

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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