A computer is purchased for ( $ 1029 ). Its value in dollars after ( t ) years can be approximated by ( V(t)=frac{1029}{(2 t+1)^{2}} ), where ( 0 leq t leq 4 ). (a) Find the value of the computer 3 years after purchase. (b) At time ( mathrm{t}=3 ) years, use a derivative to estimate how much the value will change within the next year. (a) The value of the computer 3 years after purchase is ( $ square ).
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Step 1: Calculate the value of the computer 3 years after purchase using the given formula \( V(t) = \frac{1029}{(2t+1)^2} \). Show more…
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