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1. Find the equations of the tangent lines at x = 2 to the ellipse
2. Find the equation of the tangent line to the curve y = x2 at x = 1. Show that this line is also a tangent to a circle centered at (8, 0) and find the equation of this circle.
A power plant delivers energy at 880 MW using steam turbines. The steam goes into the turbines superheated at 625 K, What is the entropy increase per kilogram of the downstream river water
A nonreflective coating (n = 1.31) covers the glass (n = 1.52) of a camera lens. determine the minimum nonzero thickness that the coating can have
A canoe has a velocity of 0.35m/s southeast relative to the earth. Find the direction of the velocity of the canoe relative to the river
An L-R-C circuit has L = 0.400 H, C = 2.65×10?5 F, and a resistance R. Angular frequency is 307 rad/sec when R = 0.
A cylinder of mass 11.0 kg rolls without slipping on a horizontal surface. At time t, its center of mass hasa speed of 14.0 m/s.
A satellite of mass 190 kg is placed into Earth orbit at a height of 600 km above the surface. how long does the satellite take to complete one orbit
A 1 kg ball is attached to a 2 m long piece of very light string and suspended in such a way that it can freely swing and it passes just above the ground. completely describe the motion of the two masses after the 1 kg ball is released
A soap box derby race car has a speed of 2 m/s as it passes the first check point and has a final speed of 20 m/s asit passes the second chech point. If 15 seconds of time elapses between checkpoints, what was the acceleration of the soap box car?
A pinball bounced around its machine before resting between two bumpers. determine the total displacement\'s magnitude and direction
Consider a spring of stiffness k and mass m. If we stretch - simultaneously - both ends of the spring by force F1 and F2. What will be the elongation of the spring
An object is thrown vertically upward. It reaches maximum height in (2 + 0.2x) s. What is the maximum height
A 13cm -diameter cylinder contains argon gas at 10 atm pressure and a temperature of 60?C. What is the final length of the cylinder
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