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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.
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ADDITIONAL PROBLEM 1 Unpolarized light passes through two polarizers whose transmission axes are at an angle # with respect to each other. What should be the angle # between the transmission axes of the polarizers if it ...
Question: Part A: At what angle θ1 to the normal would the first dark ring be observed? Part B: Suppose that the light from the pinhole projects onto a screen 3 meters away. What is the radius of the first dark ring on ...
Question: The potential difference between the surface of a 3.2 cm -diameter power line and a point 1.5 mdistant is 4.7 kV. What is the magnitude of the line charge density on the power line? Express your answer using tw ...
An observer sees an airplane flying directly overhead and determines that the distance from the wingtip to wingtip subtends and angle of 0.0080 radians. She knows that the wingspan of the airplane is actually 160 feet. W ...
A baseball is thrown vertically upward at a speed of 39.2 m/s. How much time elapsed before it reaches it highest points, and how high above the ground does it get?
Question: The superheroine Xanaxa, with a mass of 65.9 kg, is in a hair-raising chase after the 76.1-kg arch-villain Lexlax. She leaps from the ground to the top of a 183-m-high building, then dives off and comes to rest ...
Questio: A pump is required to lift a mass of 850 kg of water per minute from a well of depth 13.8 m and eject it with a speed of 17.2 m/s. part A. How much work is done per minute in lifting the water? part B. How much ...
Question: A proton has an initial speed of 3.9 x 105 m/s. (a) What potential difference is required to bring the proton to rest? _________________ kV (b) What potential difference is required to reduce the initial speed ...
Question: A) A sled is being pulled along a horizontal surface by a horizontal force F_vec of magnitude 600 N. Starting from rest, the sled speeds up with acceleration 0.08 {\rm m/s}^2 for 1 minute. B) Find the average p ...
Questin: A research submarine has a 30-cm-diameter window that is 9.0cm thick. The manufacturer says the window can withstand forces up to 1.2*10^6N . What is the submarine's maximum safe depth in salt water? The pressur ...
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