Assignment:
Consider the parametric equations x =2t+1/t and y = 1-t.
(i) Using a table sketch the curve represented by the parametric equations. Write out the table that you use. Be sure to indicate the orientation of the cure. Explain what is meant by the orientation of the curve.
(ii) Determine the corresponding rectangular equation, write y as a function of x (isolating y). Please explain what is meant by a rectangular equation & how to isolate y.
(iii) Determine the (x,y) coordinates and the value of the parameter at the point(s) where the slope of the tangent line to the curve is 4.
(iv) What is the concavity of the graph at the point where t =-1?
Provide complete and step by step solution for the question and show calculations and use formulas.