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sladkih [1.3K]
3 years ago
7

Let f be continuous on [0, a] and differentiable on (0, a), Prove that if f(a)=0 then there is at least one value of x in (0, a)

, such that f(x)= -xf'(x).(5marks) (%4h) 4

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

See picture attached

Step-by-step explanation:

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36.

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2 years ago
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A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,
horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

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7 0
3 years ago
a ribbion is 3 2/3 yards long. Mae needs to cut the ribbion into pieces that are 2/3 yard long.how much ribbion will be left aft
Lemur [1.5K]
To answer this question you need to divide to get the number of pieces and then multiply whats leff by 3 2/3.

Divide 3 2/3 by 2/3. There are a few ways to do this but I am going to turn 3 2/3 into an improper fraction and then divide.

So 3\frac{2}{3} = \frac{11}{3}
Now divide
\frac{\frac{11}{3}}{\frac{2}{3}}
\frac{11}{3} \times \frac{3}{2} = \frac{11}{2} = 5\frac{1}{2} = 5.5

We can see she can get 5.5 pieces at 2/3. So .5 is going to be left over so we ask our self, what is .5 of 3 2/3? We times .5 by 3 2/3 = 1.83 yards left. If you want it into a fraction, it would be 1\frac{83}{100} yards left
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Step-by-step explanation:

Shes wrong because she did it in 3 hours which means she would have made 3 cards and not 9.

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