For a function to begin to qualify as differentiable, it would need to be continuous, and to that end you would require that 
is such that
Obviously, both limits are 0, so 
is indeed continuous at 
.
Now, for to be differentiable everywhere, its derivative 
must be continuous over its domain. So take the derivative, noting that we can't really say anything about the endpoints of the given intervals:
and at this time, we don't know what's going on at , so we omit that case. We want to be continuous, so we require that
from which it follows that 
.
Answer:
{x | x ≤ -8}
Step-by-step explanation:
-7x ≥ 56
Divide each side by -7, remembering to flip the inequality since we are dividing by a negative
-7x/-7 ≤ 56/-7
x ≤ -8
Answer:
About 4 oz
Step-by-step explanation:
36.12 is founded to 36. 36 oz /9 milkshakes is 4oz per milkshake.
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
Answer:
10%
Step-by-step explanation:
