Calculus

Consider the surge function f(x) = 6xe *. (a) Compute the indefinite integral [f(x) dx. Show all of your work, including your final answer, on Crowdmark. (b) Find the average value of f(x) on the interval [0, 2]. Hint: Your solution should involve the result from part (a). Show all of your work on Crowdmark and copy your final answer in the box below,rounding to 3 decimal places if rounding is required. #10(b): Save Your work has been saved!_(Back to Admin Page) #11. Consider the region bounded by the graphs of y = x, y = 0, and x = 3. (a) Sketch and shade in this 2-dimensional region. Be sure to label your curves and axes, as well as any intersection points. Show all of your work on Crowdmark. (b) Find the volume of the 3-dimensional solid obtained by rotating this region about the y-axis. To receive points on Crowdmark, you must use techniques covered in Math ILS3. Show all of your work on Crowdmark, and copy your final numerical answer in the box below, rounded to 3 decimal places if rounding is required. 11(b)