Question
Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.
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A particle starting with initial velocity of 26 m/sec moves with a uniform acceleration of 6m/sec2. Find(i) the velocity of the particle after 7 seconds.(ii) how far it will go in 6 seconds.(iii) its velocity when is has traversed 100 m.Question 2
The sum of the surface areas of a cuboid with sides and and a sphere is given to be constant. Prove that the sum of their volumes is minimum, if is equal to three times the radius of sphere. Also find the minimum value of the sum of their volumes.Question Text | Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%. |