Question 4 (0.5 points) Consider the region below the graph of y = √4-x above the x-axis between x = 1 and x = 4 in the
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Question 4 (0.5 points) Consider the region below the graph of y = √4-x above the x-axis between x = 1 and x = 4 in the
Question 4 (0.5 points) Consider the region below the graph of y = √4-x above the x-axis between x = 1 and x = 4 in the first quadrant. (a) On your solution sheet, sketch these functions and shade in the resulting region. Clearly indicate any boundary points or curves. (b) Write an integral to represent the area of the region. You do not need to evaluate the integral and find the area. (c) Find the volume of the solid obtained when this region is rotated around the horizontal line y = 3. Enter the volume you find in the answer box below. Round your answer to two decimal places.