oast The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T degrees Fahrenheit is given by y = C(T). When T = 92°F, C (92) = 1.83 and C'(T) = 1.64, for 90°F ≤ T ≤ 95°F. Approximate the cost to cool your home when the temperature reaches 38. 95°F, that is, C (95). A. $6.75 per day C. $2.25 per day B. $3.09 per day D. $6.37 per day

The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by  y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

Find the consumers' surplus (to the nearest dollar) at a price level of p = $2.083 for the price-demand equation p = D(x) = 9 - In (x+ 6). Use x computed to the nearest higher unit. Cs = $ (Simplify your answer. Round to the nearest dollar as needed.)

f s = 25, M =150, and z = -0.75, what is X?