Pls help the following questions

Question I . . 1 i . Fll'ld exactly the average value of a function y = e 5 over the interval [0, 5]. Question 2 Velocity of an object is given as v05) = 2 E t2 where t (sec) is the time from the start. (a) When will the object stops momentarily? (13} Find the rule for displacement. x(t) when x(0) = D. (c) How far exactly does the object travels in the rst 4 seconds? Question 3 1' Find f lms (3) six. Question 4 1 Find the exact area enclosed by the curve 37 = 2, the x axis and the line x = 1 and x = 2. 41-1 Question 5 2 rm\" Find f Question 6 If If f(x) dx = 3, find (a) Ifft'x) dx (b) I; {x} + i] dx Question 7 (3) Use the Trapezium Rule to nd the approximate area of the region under the graph of f(x} = 40: 1)2 1 from x = 1 to 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 nd the x coordinates of the points of intersection of f(x) = 2 4(x - 1)2 1 and g(x) = (x i) + 3. Give the coordinates correct to 3 decimal places. (d) Hence, use your calculator to find the area enclosed by the two curves. Give your answer to 4 decimal places