مسائل Math 2 جامدة

لسلام عليكم , المسائل دي علي related time rates في التفاضل و مطولش عليكم المسائل :



A man walks at the rate of 5Km/hr. towards the base of a tower of height 60m. At what rate does the man approach the top of the tower when he is at a distance of 80m. from the base of the tower?? (-4km/hr.)g




A balloon is rising vertically at the rate of 30m/min. , when it is 120 m above a horizental road, a car is moving with velocity 200m/min. in straight path directly beneath it. Find the rate of change of the distance between the car and the balloon one minute after the car passes under the balloon.(178m/min.)g





A metalic plate in the shape of triangle, whose height=half it's base, expand by heating. Find the length of it's base when the rate of increase of it's surface area equals 0.05 cm2/sec and the rate of increase of the length of it's base = 0.01 cm/sec. (10cm)g


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