Question Assignment 1 .A 5 m ladder is leaning against a house when its base starts to slide away. By thetime the base is four m from the house, the base is transferring at a price of two m/s.(a) How briskly is the highest of the ladder sliding down the wall ?(b) At what price is the world of the triangle fashioned by the ladder, wall, and theground altering ?(c) At what price is the angle ! between the ladder and the bottom altering ?ladderwall of house!Question Assignment 2.You’ve got been requested to design a 1000 cm3 can formed like a proper round cylinder.What dimensions will use the least materials ?Question Assignment three.The diameter of a tree was 25 cm. Throughout the next yr the circumferenceincreased by 5 cm. Utilizing calculus, discover(a) how a lot the tree’s diameter has modified ?(b) what is the corresponding change within the tree’s cross-part space ?

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