Answer Happy

A curling iron is plugged into an outlet at time :-0. Its temperature T in degrees Fahrenheil, assumed to be a continuous function that is strictly increasing and concave down on 0sts 120, is given at various times (in seconds) in the following table. Answer parts (a) through (c) below. 0 70 20 45 60 129 200 239 90 110 120 310 354 375 t(seconds) T() (°F) 1 (a) Approximate 120 T(t) dt in three ways: using a left Riemann sum, a right Riemann sum, and the Trapezoid Rule. Interpret the value of 120 Tit) dt in the context of this problem. 120 Using a left Riemann sum, 120 T() dt 205.417 (Type an integer decimal munded to three decimal places as needed.) 120 1 Using a right Riemann sum, an T(t) dt 261.53. (Type an integer decimal rounded to three decimal places as needed.) 120 Using the Trapezoid Rule, 120 T(1) ct 233.475. (Type an integer decimal rounded to three decimal places as needed.) 120 1 In the context of this problem, what does the value of T(t) dt represent? J OA. The change in temperature of the curling iron over [0, 120] OB. The average rate of change of the temperature of the curling iron on [0,120] ⒸC. The average temperature of the curling iron on [0,120) OD The maximum temperature of the curling iran on [0,120]