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- Find the linearzation to appraximate (1.999)^3A model rocket is launched with an initial upward velocity of 156/fts. The rocket's height h (in feet) after t seconds is given by the following. h=−156t-16t^2 Find all values of t for which the rocket's height is 60 feet.The model H described by H= 2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm l Predict the height of a woman whose humerus is 44 cm long. The predicted height of a woman whose humerus is 44 cm long is cm. (Type an integer or a decimal.)
- The depreciation of the value for a car is modeled by the equation y = 100,000(.85)* for x years since 2000.Suppose the number of phone subscribers between 1995 and 2006 can be modeled by S9x) = 18.33x + 24.38 where x is the number of years after 1995 . In what year does this model indicate that their were 244,340,000 subscribersThe equation n = 0.03t^2 − 0.61t + 4.21, models, n, the number (in millions) of people who moved to another state in the year that is t years since 1990. The table below shows some of the data that were used to find this model. Year Number of People WhoMoved to Another State(millions) 1995 1.9 1998 1.2 2001 1.1 2004 1.4 2006 2.0 A. Estimate the number of people who moved to another state in 2005. B. Predict the number of people who moved to another state in 2014.
- Calculate the value of -2x - if x =1/2Find the exponential equation whose graph passes through the points (-2, ) and (1,15) 25 IIA model for the men’s 100-meter freestyle record times in seconds is given by y = (38,504.4888 + 44.37530536x^2)/(1 + x + x^2) where x = 0 represents 1900. The model and the data points are shown in the graph below. Use this model to predict a reasonable record for a man to swim 100 meters in the year 2000. Explain how you determined your answer.
- Differentiate. y = x4 - 4/xA model for the men’s 100-meter freestyle record times in seconds is given by y=(38,504.4888 + 44.37530536x^2)/(1+x+x^2) where x = 0 represents 1900. The model and the data points are shown in the graph below. Use this model to predict a reasonable record for a man to swim 100 meters in the year 2000. Explain how you determined your answer.The population P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by P = 2632/ (1+0.083e^0.0500t). Please determine the year in which the population will reach 2.2 million. (*I know the answer, which is 2017, but I don't know the way to solve it.)