The differential equation of a family of tangent lines to the parabola y=x^2, given by 2xt=y+t, t being a parameter,4(y-xdy/dx)+(dy/dx)^2=0.
True or false with statement
A steel Ball weighing 39.2 kg is supposed from a spring due to which the spring is stretched 2m from its natural length. The ball is started in motion with no initial velocity by displacing it through 0.5m above the equilibrium position. Assuming no air resistance, find an expression for the position of the Ball at any time t.
A cup of coffee (temperature = 190°F) is placed in a room whose temperature is 70°F. After five minutes, the temperature of the coffee has dropped to 160°F. How many more minutes must elapse before the temperature of the coffee is 130°F?
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