Write this Ellipse equation in standard form: 25x^2+4y^2+100x-24y +36=0 i need this soon. i just need to learn. please answer preferably with work and right answer :)

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.