91Ó°ÊÓ

\(19-32\) Sketch the region given by the set. $$ \\{(x, y)| | x | \leq 2 \text { and }|y| \leq 3\\} $$

Aerodynamic Lift The lift \(L\) on an airplane wing at take- off varies jointly as the square of the speed \(s\) of the plane and the area \(A\) of its wings. A plane with a wing area of 500 \(\mathrm{ft}^{2}\) traveling at 50 \(\mathrm{mi} / \mathrm{h}\) experiences a lift of 1700 \(\mathrm{ib}\) . How much lift would a plane with a wing area of 600 \(\mathrm{ft}^{2}\) traveling at 40 milh experience?

Solve the equation both algebraically and graphically. $$ x^{3}+16=0 $$

\(19-32\) Sketch the region given by the set. $$ \\{(x, y)| | x |>2 \text { and }|y|>3\\} $$

19–44 ? Make a table of values and sketch the graph of the equation. Find the x- and y-intercepts and test for symmetry. $$ x+y^{2}=4 $$

Find an equation of the line that satisfies the given conditions. Through \(\left(\frac{1}{2},-\frac{2}{3}\right) ; \quad\) perpendicular to the line \(4 x-8 y=1\)

Drag Force on a Boat The drag force \(F\) on a boat is jointly proportional to the wetted surface area \(A\) on the hull and the square of the speed \(s\) of the boat. A boat experiences a drag force of 220 lb when traveling at 5 mi/h with a wetted surface area of 40 \(\mathrm{ft}^{2} .\) How fast must a boat be traveling if it has 28 \(\mathrm{ft}^{2}\) of wetted surface area and is experiencing a drag force of 175 lb?

Find an equation of the line that satisfies the given conditions. Through \((1,7) ;\) parallel to the line passing through \((2,5)\) and \((-2,1)\)

19–44 ? Make a table of values and sketch the graph of the equation. Find the x- and y-intercepts and test for symmetry. $$ y=\sqrt{x} $$

Which of the points \(A(6,7)\) or \(B(-5,8)\) is closer to the origin?