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Magazine Problem 24
Graph the region bounded by the given curves. \(y^{2}=4 x, x=5,\) and the \(x\) axis, in the first quadrant
Problem 26
Graph the region bounded by the given curves. \(y=4 / x, y=x, x=6,\) and the \(x\) axis
Problem 27
Use derivatives to find any maximum and minimum points for each function. Distinguish between maximum and minimum points by graphing calculator, by the first-derivative test, the second-derivative test, or the ordinate test. Check by graphing. $$y=x^{3}-7 x^{2}+36$$
Problem 29
Use derivatives to find any maximum and minimum points for each function. Distinguish between maximum and minimum points by graphing calculator, by the first-derivative test, the second-derivative test, or the ordinate test. Check by graphing. $$y=2 x^{2}-x^{4}$$
Problem 33
Use derivatives to find any maximum and minimum points for each function. Distinguish between maximum and minimum points by graphing calculator, by the first-derivative test, the second-derivative test, or the ordinate test. Check by graphing. $$y=3 x^{4}-4 x^{3}-12 x^{2}$$
Problem 34
Use derivatives to find any maximum and minimum points for each function. Distinguish between maximum and minimum points by graphing calculator, by the first-derivative test, the second-derivative test, or the ordinate test. Check by graphing. $$y=2 x^{3}-9 x^{2}+12 x-3$$
Problem 35
Use derivatives to find any maximum and minimum points for each function. Distinguish between maximum and minimum points by graphing calculator, by the first-derivative test, the second-derivative test, or the ordinate test. Check by graphing. $$y=x^{3}+3 x^{2}-9 x+5$$
Problem 36
Use derivatives to find any maximum and minimum points for each function. Distinguish between maximum and minimum points by graphing calculator, by the first-derivative test, the second-derivative test, or the ordinate test. Check by graphing. $$y=(x-2)^{2}(2 x+1)$$
Problem 44
Use the second derivative to find any inflection points for each function. Check by graphing. $$y=2 x^{3}+x^{2}-3$$
Problem 45
Use the second derivative to find any inflection points for each function. Check by graphing. $$y=x^{4}-x^{3}+1$$
