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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Factor completely, or state that the trinomial is prime.25x2 - 20x + 4

A. (5x - 2)2 B. (5x - 2)(5x + 2) C. (25x + 1)(x + 4) D. (5x + 2)2

Mathematics

Determine whether the graph of f(x) is a sinusoid.f(x) = 5 sin x + 7 cos x

A. Yes B. No

Mathematics

Graph the equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places, if necessary. Use the TABLE feature to help establish the viewing window.3x2 - 5y = 34

A. (0, -6.8), (-3.37, 0), (3.37, 0) B. (0, -6.8), (3.37, 0) C. (0, 6.8), (-3.37, 0), (3.37, 0) D. (0, -6.8), (-3.36, 0), (3.36, 0)

Mathematics

Provide an appropriate response.Find the exact value of tan 37.5°.

What will be an ideal response?

Mathematics