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  Item Reference: KCLCAL-1861-1862-493

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494 GENERAL LITERATURE AND SCIENCE 13 Explain the construction of the atmospheric steam engine 14 An air-tight piston is fitted into cylindrical vessel filled with air the length of the cylinder is 30 inches and the area of the piston is 10 inches required the force necessary to push the piston in through 15 inches the barometer standing at 30 inches II -jlcfoton attt tffermtial Calculus When two curves intersect find the angle of intersection and find the co-ordinates of the points and angles of intersection in the curves y2 ax and y3 axy -f x3 Determine point within triangle such that the sum of the squares of the distances from the three sides is minimum Show that e-"'dx sin mx -5- between χ nf ai and χ Integrate the differential coefficients x' Vr Cos χ cos χ cos -f- tan Find the radius of curvature generally of spiral β Determine the value of ΰηθ 4sin£0 cos θ cos £ Θ If the force tend to the centre of an ellipse of which the eccentricity the time of moving from one extremity of the 7Γ latus rectum to the other μ Find the law offeree tending to the centre of an ellipse Enunciate and prove Lemma Define similar curves Cycloids are similar
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