Question: 1. If f(r) is continuous on (2,6] and [ f(x) dr = 3, find 2. Evaluate - [(3|x r) dr two ways: L (5.

1. If f(r) is continuous on (2,6] and [" f(x) dr = 3, find 2. Evaluate - [(3|x r) dr two ways: L (5. (5+2f(x)) dx. a) Sketch the function f(x) = 3|x| -x and find the area geometrically. b) Use the Evaluation Theorem. Hint: For both parts, rewrite f(x) as a piecewise function using the fact that: |x| = { X if x 0 -x if x < 0 3. Suppose a car is travelling in a straight line with velocity (in m/s) given by v(t) = t3 - t2-12t. a) Find the displacement of the car from time t = 1s to t = 6s. b) Find the total distance travelled during this time. =

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