Answer:
1020 quarts
Step-by-step explanation:
add both months together which would be 4080 cups
divide that by 4 to get the quarts which would be 1020
![\bf f(x)=x+\cfrac{1}{x}\qquad \left[\frac{1}{2},2 \right]\\\\ -----------------------------\\\\ \cfrac{df}{dx}=1+\left(-1x^{-2} \right)\implies \cfrac{df}{dx}=1-\cfrac{1}{x^2} \\\\\\ f'(c)=1-\cfrac{1}{c^2}\quad \quad 1-\cfrac{1}{c^2}=\cfrac{f(2)-f\left( \frac{1}{2} \right)}{2-\frac{1}{2}} \\\\\\ 1-\cfrac{1}{c^2}=\cfrac{\frac{5}{2}-\frac{5}{2}}{\frac{3}{2}}\implies 1-\cfrac{1}{c^2}=\cfrac{0}{\frac{3}{2}}\implies 1-\cfrac{1}{c^2}=0 \\\\\\ 1=\cfrac{1}{c^2}\implies c^2=1\implies c=\pm\sqrt{1}\implies c=\pm 1](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3Dx%2B%5Ccfrac%7B1%7D%7Bx%7D%5Cqquad%20%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%2C2%20%20%5Cright%5D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bdf%7D%7Bdx%7D%3D1%2B%5Cleft%28-1x%5E%7B-2%7D%20%20%5Cright%29%5Cimplies%20%5Ccfrac%7Bdf%7D%7Bdx%7D%3D1-%5Ccfrac%7B1%7D%7Bx%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Af%27%28c%29%3D1-%5Ccfrac%7B1%7D%7Bc%5E2%7D%5Cquad%20%5Cquad%201-%5Ccfrac%7B1%7D%7Bc%5E2%7D%3D%5Ccfrac%7Bf%282%29-f%5Cleft%28%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%7D%7B2-%5Cfrac%7B1%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A1-%5Ccfrac%7B1%7D%7Bc%5E2%7D%3D%5Ccfrac%7B%5Cfrac%7B5%7D%7B2%7D-%5Cfrac%7B5%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Cimplies%201-%5Ccfrac%7B1%7D%7Bc%5E2%7D%3D%5Ccfrac%7B0%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Cimplies%201-%5Ccfrac%7B1%7D%7Bc%5E2%7D%3D0%0A%5C%5C%5C%5C%5C%5C%0A1%3D%5Ccfrac%7B1%7D%7Bc%5E2%7D%5Cimplies%20c%5E2%3D1%5Cimplies%20c%3D%5Cpm%5Csqrt%7B1%7D%5Cimplies%20c%3D%5Cpm%201)
there's a quick graph below of the bounds and the tangent at "c"
not happening -2 or 2 will have a tangent parallel to a,b, needless to say -2 is out of the range [a,b] anyway, so the only value is really 1, on the positive 1st quadrant
Answer:
Rob won because if dale came in last then hes already marked out but then we have henry and charles. if henry finished ahead of charles that wouldve made him second to last but remember that rob ran faster then henry so rob mustve finished first.
Step-by-step explanation:
Step = 9
a30 = a1 + 9(30 - 1) = -4 + 9 × 29 = -4 + 261 = 267
Answer:
<h2>

</h2>
Step-by-step explanation:
32base x means 
Similarly, 32base x+51base y equals to 
and 23base x +42 base y means 
As per the given condition, 
Putting,
in
, we get

