Provide an appropriate response.Graph f(x) = cos-1  and g(x) = tan-1  . Explain why the graph looks like it does.

What will be an ideal response?


When x is positive these graphs are identical because they are both giving the same angle.    When x is negative both functions are still referring to the same angle. However, inverse cosine gives values between ?/2 and ? while inverse tangent gives values between -?/2 and 0.

Mathematics

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Let B denote the price of a bag of groceries at time t.  It is found that  changes sign from positive to negative at . What can be concluded about the graph of B at the point

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B. The graph of B reaches a minimum at .
C. The graph of B is increasing at .
D. The graph of B is decreasing at .

Mathematics

Use the figure to find the following. ? 

A.
B.
C.
D.

Mathematics

Find zw or  as specified. Leave your answer in polar form.z = 10(cos 45° + i sin 45°)w = 5(cos 15° + i sin 15°)Find .

A. 2(cos 45° + i sin 45°)
B. (cos 30° + i sin 30°)
C. (cos 45° + i sin 45°)
D. 2(cos 30° + i sin 30°)

Mathematics

Find the domain and range of the relation.{(-2, -6), (1, 4), (4, 0), (7, -1)}

A. domain: {-2, 1, 4, 7}, range: {-6, 4, 0 } B. domain: (-?, ?), range: {-2, 1, 4, 7} C. domain: {-2, 1, 4, 7}, range: {-6, 4, 0, -1} D. domain: {-6, 4, 0, -1}, range: (-?, ?)

Mathematics