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Find all critical numbers of the function .  ​

Find the value of the derivative (if it exists) of the function  at the extremum point . ​ ​

Locate the absolute extrema of the given function on the closed interval . ​ ​

Find  by implicit differentiation. ​ ​

Find the x-intercepts (if any) for the graph of the quadratic function.f(x) = (x + 3)2 – 9

Statement for problem 3: 242exam2_ss25 3.pdf

A nonnegative random variable X is said to have a distribution if the random variable Y = ln(X) has a normal distribution.

Statement for problem 1: 242exam2_ss25 1.pdf

What do we call a football shaped bacteria , describe what a gram positive membrane would look like (think thickness and amount of layers), describe what a lopotrichous flagellum would look like. Where would the nucleoid region would be found. 

What is the term do describe movement of a bacteria in response to a stimulus.