Pls help the following questions

STUDY AREA 1 TEGRATION : EXTRA EXERCISES Question 1 -t Find exactly the average value of a function y = 2109? over the interval [0, 5]. Question 2 Velocity of an object is given as v(t) = 2 g t2 where t (sec) is the time from the start. (a) When will the object stops momentarily? (b) Find the rule for displacement. x(t) when x(0) = (c) How far exactly does the object travels in the rst 4 seconds'.l Question 3 Find f lms (E) tix. Question 4 1 Find the exact area enclosed by the curve 3} = 2, the x axis and the line x = 1 and x = 2. 4x-1 Question 5 Find f Fri Question 6 If f2 x) six = a, nd (a) If you dx (b) I: {fix} +;] dx Question 7 (3) Use the Trapeaium Rule to nd the approximate area of the region under the graph of f(x) = 40: - 1)2 1 from x = -1to x = 1 using 4 sub intervals. (b) Use your calculator to find the actual area of the same area as above. Give answer as exact value. (c) Use your calculator to find the x coordinates of the points of intersection of f(x) = 2 4(x D2 1 and g(x) = - (x i) + 3. Give the coordinates correct to 3 decimal places. (d) Hence1 use your calculator to find the area enclosed by the two curves. Give your answer to 4 decimal places