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Solve the question! plz. Application 7) The position, in metres. of a particle moving in a straight line is given by the equation 30 SOC)

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Solve the question! plz.

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Application 7) The position, in metres. of a particle moving in a straight line is given by the equation 30 SOC) = m + 10, where t is measured in seconds [9 marks] a) Determine the average velocity (average rate of change of position) of the particle over the time interval 1 S t S 5 seem b) Determine the instantaneous velocity of the particle when t=3 seconds 0) What does the rate of change (velocity) imply about the relationship between position and time of the particle? Thinking x 2 if x 4 continuous everywhere [ 5 Marks] 9) a) Find the equation of the tangent to the curve y = + 1 where the curve intersection the x- axis. [4 Marks] b) Consider the original function again, y = L + 1, does the limit exist when x = 3? Why or x+3 Why not? [1 Marks] x|x+4|+4 lelr+4l 10) piven 90:) = , determine Lips g(x) and show all of your work. [5 Marks]

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