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Magazine Problem 113
Solve each inequality analytically. Support your answers graphically. Give exact values for endpoints. (a) \(x-3 x^{2}>-1\) (b) \(x-3 x^{2} \leq-1\)
Problem 114
Solve each inequality analytically. Support your answers graphically. Give exact values for endpoints. (a) \(-2 x^{2}+3 x<-4\) (b) \(-2 x^{2}+3 x \geq-4\)
Problem 115
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$s=\frac{1}{2} g t^{2} \quad \text { for } t$$
Problem 116
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$\mathscr{A}=\pi r^{2} \quad \text { for } r$$
Problem 117
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$a^{2}+b^{2}=c^{2} \quad \text { for } a$$
Problem 118
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$\mathscr{A}=s^{2} \text { for } s$$
Problem 119
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$S=4 \pi r^{2} \text { for } r$$
Problem 120
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$V=\frac{1}{3} \pi r^{2} h \quad \text { for } r$$
Problem 121
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$V=e^{3} \quad \text { for } e$$
Problem 122
Solve each formula for the indicated variable. Leave \(\pm\) in answers when appropriate. Assume that no denominators are \(0 .\) $$V=\frac{4}{3} \pi r^{3} \quad \text { for } r$$
