Find a function of the form y=Asin(kx)+C or y=Acos(kx)+C whose graph matches this one:

Mathematics

1 answer:

kumpel [21]3 years ago

4 0

Answer:

y = 4cos((π/5)x) +3

Step-by-step explanation:

The graph shows the peak of the function to be at x=0, so a cosine function is an appropriate choice for the model.

The value of A is half the difference between the minimum and maximum, so is ...

A = (1/2)(7 -(-1)) = 4

The value of C is the average of the maximum and the minimum, so is ...

C = (1/2)(7 +(-1)) = 3

The value of k must be chosen so that for one full period, kx is 2π. We note that one minimum is at -5, and the next is at +5, so the period of this waveform is (5 -(-5)) = 10. Then ...

k·10 = 2π

k = π/5 . . . . . divide by 10 and reduce the fraction

Now, we have all the parameters of our function:

y = 4cos((π/5)x) +3

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frosja888 [35]

Answer:

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Step-by-step explanation:

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1 h : x

x = 420×1 / 35

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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by $\pi$ . In this case, the circumferences of the yellow circle are $9\pi$ or approximately $28.27cm^2$ , the circumference of the blue circle is $6\pi$ or approximately $18.85m^2$ , the circumference of the green circle is $80\pi$ or approximately $251.33mm^2$ , the circumference of the red circle is $5\pi$ or approximately $15.71cm^2$ , and the circumference of the pink circle is $7\pi$ or approximately $21.99cm^2$ .