If
is an integer, you can use induction. First show the inequality holds for
. You have
, which is true.
Now assume this holds in general for
, i.e. that
. We want to prove the statement then must hold for
.
Because
, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives
. So you're done.
If you
is any real number, you can use derivatives to show that
increases monotonically and faster than
.
Answer: 789 calories burned while combining diet with 2 hours of exercise
Step-by-step explanation:
we have that
we know that
substitute
Find 
For x=2 hours
substitute
therefore
The answer is
789 calories burned while combining diet with 2 hours of exercise
Answer:
D
Step-by-step explanation: always remember that sign as irrational
X⁴ - 81 = x⁴ - 9² (Difference of 2 squares, then we an write it:
(x²-3)(x²+3) =0, → then (x²-3) = 0 and (x²+3)=0
(x²-3) = 0 → x² = 3 → x = +√3 and x = -√3
(x²+3) =0 → x² = -3 → x = +√-3 and x = -√3→ or i√3 AND x = -i√3
A{ -3 , +3 , -i√3 , i√3}
a so-called zero or solution is really just an x-intercept, in which case we set the dependent variable to 0, namely y = h(x) = 0 and solve for x to get it.
why is -3 the smallest? well, -3 is much smaller than 5 :), the further to the left you go on the number line, the smaller the number.
