please choose the correct answer.

What does f'(t) represent for this application? O A. The temperature at time t O B. The change in temperature after t seconds O C. The rate of change of time with respect to temperature O D. The rate of change of temperature with respect to timeIs f(t) continuous on [0,14]? A. Yes, because there are no jumps in temperature while the temperature is changing, and there are no values that the temperature must skip over. O B. No, because there are points of discontinuity on the temperature scale in the interval [0, 14]. O C. It is impossible to know because the graph of f(t) is not shown.It took 14 seconds for a mercury thermometer to rise from 19EC to 1UD\"C when it was taken from a freezer and placed in boiling water. Show that somewhere along the way the mercury was rising at the rate of 8.5C!second. Use the Mean Value Theorem. Suppose y = x} is continuous on a closed interval [ab] and differentiable on the intervals interior (a,b}. Then there is at least one point t: in {ah} at which the following is true. It t) is the function that represents the temperature shown on the thermometer after tseconds, what is the closed interval for this application? Assume that the thermometer is at the starting temperature at time t= l]. [0,14] {Type your answer in interval notation.)