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?

Atennis player used a tennis racket to hit a tennis ball with a mass of 0.25 kg with a force of 5.25 newtons. how does the force the tennis racket exerted on the tennis ball compare with the force the tennis ball exerted on the tennis racket? a. the force of the tennis racket on the tennis ball is equal in magnitude and opposite in direction to the force the tennis ball exerted on the tennis racket. b. the force of the tennis racket on the tennis ball is equal in magnitude and in the same direction as the force the tennis ball exerted on the tennis racket. c. the force of the tennis racket on the tennis ball is less in magnitude and in the same direction as the force the tennis ball exerted on the tennis racket. d. the force of the tennis racket on the tennis ball is greater in magnitude and opposite in direction as the force the tennis ball exerted on the tennis racket.