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Identify the structure of the product from the the following reaction sequence.

Find the slope of the curve at the given point P and an equation of the tangent line at P.y = x3 – 9x, P(1, -8)

Find the absolute extreme values of the function on the interval.f(x) = ln(x + 2) + , 1 ≤ x ≤ 10

Determine whether Rolle’s Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle’s Theorem.f(x) = cos 10x; 

Find the most general antiderivative. dx

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cot(7x – 4)

Find the second derivative of the function.y = 

A niche is a(n) ______.

Physical exposure refers to ______.

Audiences are segmented in a variety of ways. What is being emphasized if I am within a niche target market based on my education level and love of hiking? Specific example of education level and love of hiking not found in text.