An insulated object, whose initial temperature was 5◦C, is submerged in boiling water. It is known that the temperature of the object increases 3◦C in one hour.(a) Write an initial value problem that represents the change in the temperature, T,as a function of time (measured in hours).(b) Qualitatively analyze the behavior of the functionT(t).(c) Find an explicit solution forT(t).(d) How long will it take the bar to reach 90◦C . How long will it take the bar toreach 98◦C?

Mass (kg) force (n) 5 25 10 50 15 75 20 100 a student was trying to find the relationship between mass and force. he placed four different masses on a table and pulled them using a spring scale. the table shows the different masses used in the experiment and the force required to pull each mass. the student concluded that more force was required to pull heavier objects. what comment would you make regarding his conclusion? a) no clear relation can be observed between mass and force from the data. b) there is a direct proportion between the mass and force listed in the table. c) gravity should have been taken into account while performing the experiment. d) there is an inverse proportion between the mass and force listed in the table.

Which wave is the result of amplification and produces a louder sound

What is the specific heat of wood ?