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{:[k(t)=13 t-2],[k(3)=]:}

k(t)=13t2k(3)= \begin{array}{l}k(t)=13 t-2 \\ k(3)=\end{array}

Full solution

Q. k(t)=13t2k(3)= \begin{array}{l}k(t)=13 t-2 \\ k(3)=\end{array}
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function k(t)=13t2k(t) = 13t - 2 and we need to find the value of k(3)k(3).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find k(3)k(3), we replace tt with 33 in the function: k(3)=13(3)2k(3) = 13(3) - 2.
  3. Perform Multiplication: Perform the multiplication.\newlineNow we calculate 1313 times 33: 13(3)=3913(3) = 39.
  4. Complete Calculation: Complete the calculation.\newlineWe then subtract 22 from 3939 to get the final value: 392=3739 - 2 = 37.

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