Can a 2 engines plane takeoff at MTOW when 1 engine quits,or only at lower weight?

[barit1]

MaverickSU355

. . . for a near sea level altitude and for an air of no more than 35 Celsius (cooler air gives more engine thrust), . .

Remember the wings have to fly in that OAT also, so a higher inertial speed (GS) is needed for V1 V2 etc. So higher temp, thrust is less, acceleration is slower, and with a higher GS required, the runway needs to be longer on two counts.