Answer:
The correct option is;
E. The whale touches the surface at the maximum
Please find attached the whale motion diagram
Step-by-step explanation:
The given function is f(x) = -4·x²
Therefore, we have;
x, f(x)
-5, -100
-4, -64
-3, -36
-2, -16
-1, -4
0, 0
1, -4
2, -16
3, -36
4, -64
5, -100
Which is the gives the singular maximum value for f(x) at x = 0, which is the surface of the water where the whale reaches for air
The errors in the other options are
A. The domain is always real
B. The range is (-∞, 0)
C. There is only one point where the whale touches the surface at x = 0
D. The values of f(x) initially rises, hen descends as the whale moves to the surface of the water and then descends.
Using trigonometric identities, it is found that the sine and the tangent of the angle are given as follows:
.
<h3>How do we find the sine of an angle given the cosine?</h3>
We use the following identity:

In this problem, the cosine is:

Hence the sine is found as follows:




Second quadrant, so the sine is positive, hence:

<h3>What is the tangent of an angle?</h3>
The tangent is given by the <u>sine divided by the cosine</u>, hence:

Hence:



More can be learned about trigonometric identities at brainly.com/question/7331447
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Answer: 97
Step-by-step explanation:
The diagonal equals the square root of the width squared plus the height squared.
50% of $30.00 = $15.00 profit during season
The store does not make a profit on the sale of the jeans at the end of season because the store sells the jeans for $30.00 + $15.00 = $45.00
per jean. 50% sale reduces the price to half. $22.50. There will be a loss since the store purchased the jeans for $30.00