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Bas_tet [7]
2 years ago
6

Explain why the function y=1-cosx is an even function

Mathematics
1 answer:
Oksanka [162]2 years ago
8 0

A function is said to even if it returns the same output when given two opposite inputs:

f(x) = f(-x)

In your case, you have

f(x) = 1-\cos(x), \quad f(-x) = 1-\cos(-x)

And since \cos(x) = \cos(-x), the proof is concluded.

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The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate
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Answer:

  a) -900 L/min

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  c) v = -900t +63000

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Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

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The rate of change is ...

  Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

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b) In the first 20 minutes, the change in volume was ...

  (20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

  initial volume -18000 = 45000

  initial volume = 63,000 . . . . liters

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c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

  v = -900t +63000

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d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

  v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0
3 years ago
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be
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2 years ago
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<em>Option 2 </em>

<em />

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8 0
2 years ago
Read 2 more answers
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