Answer:
Step-by-step explanation:
By MVT,

Moreover, 

Hence the largest possible value of f(5) is 13
Convert to cylindrical coordinates:



Then
is the set of points
such that
,
, and
or
.
Now

Answer:
Step-by-step explanation:
Unclear. Did you mean f(x) = 2^(x + 3)? If so, the parentheses are mandatory.
Assuming that f(x) = 2^(x + 3) is correct, then:
a) f(2) = 2^(2 + 3) = 2^5 = 32
b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)
c) f"(x) = 2^(x + 3) (same as in (b)), so that:
f"(12) = 2^15
Angle 2 is equal to 29 degrees