Math  /  Calculus

QuestionFind the average value of g(t)=2t+3g(t)=2^{t}+3 over the interval [0,9][0,9]. Round your answer to the nearest hundredth.
Average Value: \square

Studdy Solution
Calculate the numerical value and round to the nearest hundredth:
Using ln(2)0.693\ln(2) \approx 0.693:
5110.693737.96\frac{511}{0.693} \approx 737.96
19(737.96+27)19(764.96)84.99\frac{1}{9} (737.96 + 27) \approx \frac{1}{9} (764.96) \approx 84.99
The average value is approximately:
84.99\boxed{84.99}

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