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aliya0001 [1]
3 years ago
12

a farmer has a square field that measures 100 m on a side he wants to irrigate as much of the field as he possibly can using a c

ircular irrigation system
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
50/50 would be the answer because he dont wanna use to whole farm right 
?>
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Step-by-step explanation:

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What is 0.5333333333 as a fraction
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x=0.5\overline{3}\\
10x=5.\overline{3}\\
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3 years ago
Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca
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Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

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Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1  - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

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now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

7 0
2 years ago
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