Exercise 5.2.2: Let f and g be in R[a;b]. Prove, without using Proposition 5.2.5 , that f +g is in R[a;b] and Z b a f (x)+g(x) dx = Z b a f (x) dx+ Z b a g(x) dx: Hint: One way to do it is to use Proposition 5.1.7 to find a single partition P such that U(P; f )L(P; f ) < e=2 and U(P;g)L(P;g) < e=2.

11:22 AM

Step-by-step explanation:

By means of a statement we can know that:

After an hour and 8 minutes, he stays 8 minutes behind

Which means that in 2 hours, it will take 16 minutes

If it is 10:30, it means that it is 6:30 hours later, that is to say 6.5.

therefore 6.5 x 8 = 52

Which means that at 10:30 the clock is 52 minutes late

So the correct time is 11:22 AM