The following polynomial relates the specific heat to constant pressure of dry air Cp (in KJ/KgK), depending on of the temperature: Cp = 0.99403 + 1.671x10-4T+9.7215x10-87²-9.5838x10-¹173 +1.9529x10-1474 Use the Newton-Raphson method to determine the temperature that corresponds to the specific heat of 1.2 KJ/KgK. Start with an initial value of T=0 and get the root with an error smaller than 1x10-5

An object is thrown down from a height of 208 feet with a velocity of 72 feet per second. The objects distance from the ground, ss , at time tt seconds after being thrown down is given by the function  s(t)=−16t2−72t+208 How many seconds after being thrown down will the object hit the ground?

A large tank contains 140 litres of water in which 20 grams of salt is dissolved. Brine containing 15 grams of salt per litre is pumped into the tank at a rate of 6 litres per minute. The well mixed solution is pumped out of the tank at a rate of 3 litres per minute. (a) Find an expression for the amount of water in the tank after t minutes. (b) Let x(t) be the amount of salt in the tank after t minutes. Which of the following is a differential equation for x(t)? (A) (E) (I) dt 90 || 3 x(t) 140 + 3t 6 (B) d 6 x(t) 140 + 3t 3 x(t) 140 + 6t dt dx dx 3 = 90 − x(1) (F) = 18 - 1*(7) (G) = 18 - dt dt 140 x(t) (C) dx dt = 18 3 x(t) 140 + 6t 6 x(t) 140 + 6t (D) (H) dx = 90 3 140 x(t) 6 x(t) 140 + 3t

What is Power and Multiple Rules?

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%?

When an oven is turned off its interior temperature is given by T=70+330(0.8)7, where T is the temperature in (F) in the oven and t is the time in minutes after the oven is turned off. For each of the following, assume room temperature remains constant. What is the oven temperature (in F) after ten minutes?