Given the parametric equations . Eliminate the parameter and…

Given the parametric equations . Eliminate the parameter and write the corresponding rectangular equation. Do not use inverse trigonometric functions in your answer. x=2cos⁡(t),y=3sin⁡(t)−2{“version”:”1.1″,”math”:”x = 2\cos(t),\, y = 3\sin(t)-2″}  

Paul draws one playing card out of a standard poker deck and…

Paul draws one playing card out of a standard poker deck and observes its value (2 though Ace) and its color (red or black).  He then replaces the card, shuffles the deck, and again draws a card, observing its value and color. Let event A =  The first card is an Ace,  and let event B = the second card is Red. Events A and B are:

Given the parametric equations. x=t,y=2t+1{“version”:”1.1″,”…

Given the parametric equations. x=t,y=2t+1{“version”:”1.1″,”math”:”x = \sqrt{t},\, y = 2\sqrt{t}+1″} (a) Eliminate the parameter and write the corresponding rectangular equation. (b) Sketch the graph of the curve. Label at least two points on your graph. Show the orientation of the curve.