Problem 32
Exer. \(23-34\) : Sketch the graph of the circle or semicircle. $$y=\sqrt{4-x^{2}}$$
Problem 40
Exer. \(39-40:\) Find an equation for the line that bisects the given quadrants. I and III
Problem 49
A hot-air balloon rises vertically from ground level as a rope attached to the base of the balloon is released at the rate of \(5 \mathrm{ft} / \mathrm{sec}\) (see the figure). The pulley that releases the rope is 20 feet from a platform where passengers board the balloon. Express the altitude \(h\) of the balloon as a function of time \(t\) (IMAGES CANNOT COPY).
Problem 56
Cheese production A cheese manufacturer produces \(18,000\) pounds of cheese from January I through March 24 Suppose that this rate of production continues for the remainder of the year. (a) Express the number \(y\) of pounds of cheese produced in terms of the number \(x\) of the day in a 365 -day year. (b) Predict, to the nearest pound, the number of pounds produced for the year.