You want to ship a cylindrical container of maximum volume via the U. S. Postal Office. The post office limits the size of your container by insisting that the length of the cylinder, L, plus its girth (the circumference of the circular cross-section having radius R) be limited to a total of 84 inches. Find the length, L, radius, R, and the volume, V, of the cylinder having the maximum positive volume.

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle. tiles : cosb sinb tanb sincposs matches: c/b b/a b/c c/a

Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? select two of the following that apply.

City l has a temperature of −3 °f. city m has a temperature of −7 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)