Please explain all of them .

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\fLet f(x) = x3 - 3x . Use Rolle's Theorem to find all the values c in the interval [-3, 1/3 such that f '(c) = 0.Given a cube with sides x inches, let x(t) = t + 2. What is the instantaneous rate of change of the volume, with respect to time, of the cube at t = 1 second?\fThe temperature of coffee in a large urn fluctuates as coffee is dispensed and more coffee is added. The temperature measured in degrees Fahrenheit is modeled by the function f(1)= 140 + 10 sin() where I is measured in minutes. What is the average rate of change on LO, T(]?\fKim throws a ball against a wall at time t = 0. At time t = 1, it hits the wall and then at time t = 2 it is back where it started. If the average speed of the ball is 10 miles per hour, can you apply the MVT to show that the baseball must be traveling at 10 miles/hr at some point between [0,2]?Jon received his math grade for algebra. His class average over 10 tests is 89. Ca you use the MVT to show that Jon must have received an 89 on one of the 10 tes