Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 32 ft/s from the top of a building 276 ft high, then its height h above the ground t seconds later will be h = 276 + 32t - 16t2. During what time interval (in seconds) will the ball be at least 36 ft above the ground? (Enter your answer using interval notation.) [-3,5] X1. (6 points) Find an equation of the line that satisfies the given conditions. Your answers should be in slope-intercept form. A. x-intercept of -8; y-intercept of 6. B. Through the point (1, 1) and perpendicular to the line 4x - 8y = 1. C. Through (4, 5) and parallel to the y-axis. 2. (4 points) Graph the function f(x) = x - 1612 on your graphing calculator and answer the following questions. This question does not require work to be shown. A. What is the domain of f? B. What is the range of f? C. On what interval(s) is f increasing? D. On what interval(s) is f decreasing? 3. (4 points) Sketch a graph of the piecewise defined function. -1 if x 1 4. (6 points) The power P obtained from a windmill is directly proportional to the cube of the wind speed s. A. Write an equation that expresses this variation. B. Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is blowing at 20 mi/hr. C. How much power will this windmill produce if the wind speed increases to 30 mi/hr