Answer:
the value would be $1,250,000
Step-by-step explanation:
I assume each path is oriented positively/counterclockwise.
(a) Parameterize by
with . Then the line element is
and the integral reduces to
The integrand is symmetric about , so
Substitute and . Then we get
(b) Parameterize by
with . Then
and
Integrate by parts with
(c) Parameterize by
with . Then
and
I’m sorry I usually drink water you can lose a lot of water while doing that . Try to not a lot maybe some crackers
9514 1404 393
Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
$390 is the interest will Charlie’s initial investment earn over the 15-year period. The money does Charlie have after the 15 years is $715.
<u>Step-by-step explanation:</u>
Harlie invests $325 in an account.
- Principal, P = $325
- Interest rate, r = 8% ⇒ 0.08
- Number of years, t = 15
<u>The formula to find the interest will Charlie’s initial investment earn over the 15-year period :</u>
⇒ <u></u>
⇒
⇒
Therefore, $390 is the interest will Charlie’s initial investment earn over the 15-year period.
<u>Money Charlie has after 15 years :</u>
It is given by the formula,
⇒ Amount = Principal + Interest.
⇒ 325 + 390
⇒ 715 dollars.
∴ The money does Charlie have after the 15 years is $715.