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Given the following function of x, f(x)=|x-2|+|3x-2|-|x+2|,-3≤x≤5
a) State all of the x-values at which extrema could occur according to the theorem from the lectures on extreme values of continuous functions. Enter a list, for example (3,4,5)?
b) For which value of x is f(x)at its maximum?
c) For which value of x is f(x)at its minimum?
The dimensions of a rectangle are such that its length is 5 in more than its width. If the length were doubled and if the width were decreased by 2 in., the area would be increased by 52 in squared. What are the length and width of the rectangle?
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
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8. During which time intervals is the velocity constant? 9. During which time intervals is the velocity increasing? 10. During which time intervals is the velocity decreasing?
what proportion of the families spends $85 or more per week on food?
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Suppose f(Π/3) = 4 f'(Π/3) = -2, g(s) sinx and h(x) = (cosx/f(x)). - Find g'((Π/3)
What is an expression for the spending money you have left after depositing 2/5 of your wages in savings? Evaluate the expression for weekly wages of $40, $50, $75, and $100.
The discrete-time dynamical system of a lung with absorption is given. Determine the ambient concentration γ of the chemical in the air in the cave.
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