For each statement indicate whether the statement is TRUE or

For each statement, indicate whether the statement is TRUE or FALSE. If true, explain how you know it is true, and if FALSE, explain how you know it is false, or provide a counter-example. Every curve that can be written as a function y = f(x) can be written in parametric form, but some curves expressed in parametric form cannot lie written as a function. If r = f(theta) is a polar curve, r = f(theta + 2 pi) describes the same curve. There are exactly five complex values z for which z^5 + 4z^4 - z^2 + i = 0, and each is separated from the others in the complex plane by an angle ofn 2x/5.

Solution

a) this statement is TRUE because this is not valid for all trigonometric function

b) this statement is TRUE because the 2 pi is the time period means f(x)=f(x+2pi)

c) this statement is TRUE because the equation is order of 5 then it has 5 solution and all solution is in complex form.