Write the general antiderivative. (Use C for the constant of integration.) p(t) = 1.6e0.03t million people per year, t y
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Write a formula for F, the specific antiderivative of f. (Remember to use absolute values where appropriate.) 5 f(u) +u; F(1) = 6 U F(u) = T
An investment worth $1 million in 2005 has been growing at a rate of f(t) = 0.143(1.17) million dollars per year where t is the number of years since 2005. (a) Calculate how much the investment will have grown between 2005 and 2015. (Round your answer to three decimal places.) $ 0,687 x million How much is it projected to grow between 2015 and 2020? (Round your answer to three decimal places.) $ million (b) Recover the function for the model that gives future value of an investment in million dollars t years since 2005. (The coefficient of integration should be rounded to three decimal places.) F(t) = million dollars
According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is R(t) = 20.362e-0.990 + 5.94 (45156) centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 63.2600 cm. (a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.) H(t) = (b) Use the result of part (a) to estimate the height of a typical 6-year-old child. (Round your answer to two decimal places.) cm