A curve C has parametric equations x = e' , y =t- Int, where t>0. (i) Show that there is no tangent to C parallel to the y-axis and find the equation of the tangent to C that is parallel to the x-axis. [5] (ii) Describe the behavior of the tangent to C as t→0. [1] [(i) y =1]

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.