Quadratic equations Assignment Example | Topics and Well Written Essays - 250 words

Quadratic equations - Assignment Example A maker of trophies observes that their profit behaves as P(x) = -0.3x2 + fx – m where ‘f’ pertains to fee for designing awards according to client’s request while ‘m’ refers to the monthly studio rent. P(x) would then be the monthly profit obtained as a function of ‘x’ or the number of awards designed by the trophy – making company in a month. At a point where x = - f / [ 2(-0.3) ], maximum profit is achieved. Sports such as football often involve throwing of ball from the ground and the ball thrown (projectile) eventually follows a path of trajectory in the shape of a parabola. Physicists characterize this scenario in a kinematic equation that is quadratic by nature, being y = V0y*t - Â ½ gt2 in which ‘y’ represents displacement of the ball whereas V0y is the initial velocity, along the vertical. If one wishes to find time ‘t’ when the ball hits the ground from the air, ‘y’ may be set to 0 so that ‘t’ may be solved given V0y, with g = 9.81