A certain comet has an elliptical orbit with the sun at one focus. The eccentricity of the orbit is approximately 0.93. The length of the major axis of the orbit is about 35.63 astronomical units. (An astronomical unit is about 93 million miles.) Find the standard form of the equation of the orbit. Place the center of the orbit at the origin and place the major axis on the x-axis. (Round all numerical values to two decimal places.)

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Unpolarized light falls on two polarizer sheets whose transmission axes are at right angles. a third polarizer is placed between the first two so that its axis makes a 52-degree angle with the axis of the first polarizer. a) what fraction of the incident light intensity is transmitted through the first polaroid? b) what fraction of the incident light intensity is transmitted through the second polaroid? c) what is the angle of polarization of the light that enters the third polaroid? d) what fraction of the incident light intensity is transmitted through the third polaroid. e) what happens if the middle polaroid is removed?

Holes drilled several kilometers into earth’s crust provide direct evidence about earth’s interior in the form of