3. The population of Nigeria can be approximated by the function P(1)=130.5-(1.024)' where r is the number of years since the beginning of 2002 and P is the population in millions. a) What was the population of Nigeria at the beginning of 2002? b) What was the population of Nigeria at the beginning of 2008? c) During which year should we expect the population of Nigeria to reach 250 million?

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The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = - 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-³)T² - (5.481717 x 10-3)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-")T®h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?

25. (a) Determine whether y = 3. 7* is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (b) Determine whether y = is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Exponential Function initial value Linear Function Power Function coefficient = slope = y-intercept = exponent = (c) Determine wheter y = 3- (r+10)-7x is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (d) Determine wheter y = 12" · 997 is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient =…