Answer:
Converges at -1
Step-by-step explanation:
The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.
We will make use of integral by parts to determine:
let:





We can therefore determine that if x tends to 0 the limit is -1

Answer:
$10
Step-by-step explanation:
x is her weekly allowance.
She spent half her allowance and has ½x remaining.
She earned $7, and now has $12.
12 = ½x+7
x = 10
12/30 = 18/45....cross multiply
(30)(18) = (12)(45)
540 = 540...proportional
another way to tell is to see if they are equivalent...because proportions are nothing but equivalent fractions.
12/30 = 2/5
18/45 = 2/5
so yes, they are proportional
Answer:
6 3/8 pizzas
Step-by-step explanation:
She estimates that each player will eat three eighths if a pizza and there are 17 players.
Therefore, we have to multiply 3/8 by 17:
3 / 8 * 17 = 6.375 pizzas = 6 3/8 pizzas
They will eat 6 3/8 pizzas.