Answer:
OPTION B AND D..
<em>A</em><em> </em><em>K</em><em>G</em><em> </em><em>I</em><em>S</em><em> </em><em>G</em><em>R</em><em>A</em><em>T</em><em>E</em><em>R</em><em> </em><em>T</em><em>H</em><em>A</em><em>N</em><em> </em><em>G</em>
<em>A</em><em>N</em><em>D</em><em> </em><em>G</em><em> </em><em>I</em><em>S</em><em> </em><em>1</em><em>0</em><em>0</em><em>0</em><em> </em><em>S</em><em>M</em><em>A</em><em>L</em><em>E</em><em>R</em><em> </em><em>T</em><em>H</em><em>E</em><em>N</em><em> </em><em>K</em><em>G</em>
By Green's theorem, the line integral

is equivalent to the double integral

where <em>D</em> is the region bounded by the curve <em>C</em>, provided that this integrand has no singularities anywhere within <em>D</em> or on its boundary.
It's a bit difficult to make out what your integral should say, but I'd hazard a guess of

Then the region <em>D</em> is
<em>D</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ 1 and <em>x</em> ² ≤ <em>y</em> ≤ √<em>x</em>}
so the line integral is equal to

which in this case is 7 times the area of <em>D</em>.
The remaining integral is trivial:

Answer:
What is the average rate of change for this exponential function for the interval from x=0 to x=2
m = (f(2) - f(0)) / (2 - 0)
m = (4 - 1) / (2 - 0)
m = 3 / 2
m = 1.5
Four months equals 1/3 of a year.
The formula for "simple interest" is i = p r t, where p is the initial amount, r is the interest rate as a decimal fraction, and t is the time, in years.
Thus, here, i = $1077 * 0.03 * (1/3 year)
Please calculate this interest.
Answer:
it equals out to 0.14285714285 or in fraction form is 1⁄7