Provide an appropriate response.Graph y = -tan x and its derivative together on . Is the slope of the graph of  ever positive? Explain.

What will be an ideal response?





No, the slope of the graph of  is never positive. The slope at any point is equal to the derivative, which is . Since sec2 x is never negative,  is never positive, and the slope of the graph is never positive.

Mathematics

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Write the number in expanded form.78

A. (7 ? 100) + (8 ? 101) B. (7 ? 101) + (8 ? 100) C. (7 ? 101) + (8 ? 102) D. (7 ? 102) + (8 ? 101)

Mathematics

Make an approximate conversion as indicated. Round to the nearest tenth. The precise value of your approximation will depend on the conversion path that you choose.21 qt =  L

A. 22.3 B. 9.5 C. 19.9 D. 25.2

Mathematics

For the pair of functions, find the product function or functional value indicated.Find (fg)(x).f(x) = 6xg(x) = 4x - 4

A. (fg)(x) = 24x2 - 24x B. (fg)(x) = -24x2 - 24x C. (fg)(x) = 10x2 - 4x D. (fg)(x) = 24x - 24

Mathematics

Solve the equation by factoring.x2 - 6x + 5 = 0

A. {1, 5} B. {-1, -5} C. {-1, 5} D. {1, -5}

Mathematics