Problem 90E: In precalculus, you learned a formula for the position of the maximum or minimum of a quadratic... Problem 91E: If you are finding an absolute minimum over an interval [a, b], why do you need to check the... Problem 92E: If you are examining a function over an interval (a, b), for a and b finite, is it possible not to... Problem 93E: When you are checking for critical points, explain why you also need to determine points where f(x)... Problem 94E: Can you have a finite absolute maximum for y=ax2+bx+c over (,) ? Explain why or why not using... Problem 95E: Can you have a finite absolute maximum for y=ax3+bx2+cx+d over (,) assuming a is non zero? Explain... Problem 96E: Let m be the number of local minima and M be the number of local maxima. Can you create a function... Problem 97E: Is it possible to have more than one absolute maximum? Use a graphical argument to prove your... Problem 98E: Is it possible to have no absolute minimum or maximum for a function? If so, construct such a... Problem 99E: [T] Graph the function y=eax . For which values of a, on any infinite domain, will you have an... Problem 100E: For the following exercises, determine where the local and absolute maxima and minima occur on the... Problem 101E: For the following exercises, determine where the local and absolute maxima and minima occur on the... Problem 102E: For the following exercises, determine where the local and absolute maxima and minima occur on the... Problem 103E: For the following exercises, determine where the local and absolute maxima and minima occur on the... Problem 104E: For the following problems, draw graphs of f(x), which is continuous, over the interval [-4, 4] with... Problem 105E: For the following problems, draw graphs of f(x), which is continuous, over the interval [-4, 4] with... Problem 106E: For the following problems, draw graphs of f(x), which is continuous, over the interval [-4, 4] with... Problem 107E: For the following problems, draw graphs of f(x), which is continuous, over the interval [-4, 4] with... Problem 108E: For the following exercises, find the critical points in the domains of the following functions.... Problem 109E: For the following exercises, find the critical points in the domains of the following functions.... Problem 110E: For the following exercises, find the critical points in the domains of the following functions.... Problem 111E: For the following exercises, find the critical points in the domains of the following functions.... Problem 112E: For the following exercises, find the critical points in the domains of the following functions.... Problem 113E: For the following exercises, find the critical points in the domains of the following functions.... Problem 114E: For the following exercises, find the critical points in the domains of the following functions.... Problem 115E: For the following exercises, find the critical points in the domains of the following functions.... Problem 116E: For the following exercises, find the critical points in the domains of the following functions.... Problem 117E: For the following exercises, find the critical points in the domains of the following functions.... Problem 118E: For the following exercises, find the local and or absolute maxima for the functions over the... Problem 119E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 120E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 121E: For the following exercises, find the local and or absolute maxima for the functions over the... Problem 122E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 123E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 124E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 125E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 126E: For the following exercises, find the local and/or absolute maxima for the functions over the... Problem 127E: For the following exercises, find the local and or absolute maxima for the functions over the... Problem 128E: For the following exercises, find the local and or absolute maxima for the functions over the... Problem 129E: For the following exercises, find the local and absolute minima and maxima for the functions over... Problem 130E: For the following exercises, find the local and absolute minima and maxima for the functions over... Problem 131E: For the following exercises, find the local and absolute minima and maxima for the functions over... Problem 132E: For the following exercises, find the local and absolute minima and maxima for the functions over... Problem 133E: For the following exercises, find the local and absolute minima and maxima for the functions over... Problem 134E: For the following exercises, find the local and absolute minima and maxima for the functions over... Problem 135E: For the following functions, use a calculator to graph the function and to estimate the absolute and... Problem 136E: For the following functions, use a calculator to graph the function and to estimate the absolute and... Problem 137E: For the following functions, use a calculator to graph the function and to estimate the absolute and... Problem 138E: For the following functions, use a calculator to graph the function and to estimate the absolute and... Problem 139E: For the following functions, use a calculator to graph the function and to estimate the absolute and... Problem 140E: A company that produces cell phones has a cost function of C=x21200x+36,400 , where C is cost in... Problem 141E: A ball is thrown into the air and its position is given by h(t)=4.9t2+60t+5m . Find the height at... Problem 142E: For the following exercises, consider the production of gold during the California gold rush... Problem 143E: For the following exercises, consider the production of gold during the California gold rush... Problem 144E: Find the critical points, maxima, and minima for the following piecewise functions. 144.... Problem 145E: Find the critical points, maxima, and minima for the following piecewise functions.... Problem 146E: For the following exercises, find the critical points of the following generic functions. Are they... Problem 147E: For the following exercises, find the critical points of the following generic functions. 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