Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1) = 1. If the y-intercept of the tangent at any point P(x, y) on the curve y = f(x) is equal to the cube of the abscissa of P, then the value of f(-3) is equal to

in a physics laboratory a block x is balanced by a block Y of mass 200 kg,each are suspended from a balance of equal lever arms .the scale pan on X is at a height.H1=2 cm ,where as scale pan on Y is at height 1 cm above the floor.the error in weighing is (in gram)

consider the figure of a single riveted lap joint as follows

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cyclic heat engine operates between. temperature of 30 C. What is the least rate of heat rejection per kW net output of an engine. source temperature of 800 C and sink

 

 

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