The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e).) Find the answer in AU and round to the nearest hundredth.
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c. 365.58AU
Mathematics
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Find ? to four significant digits for 0 ? ? < 2?.sin ? = -0.9388
A. -0.2191, 4.361 B. 2.790, 7.502 C. 5.064, 4.361 D. 5.064, 1.922
Mathematics
Represent the vector in the form v = ai + bj whose magnitude and direction angle are given.
= 8; ? = 30°
A. v = 4
i + 4j
B. v = 4
i + 4
j
C. v = -4
i + 4j
D. v = 4i + 4
j
Mathematics
Find the domain of the given function.f(x) = 
A. all real numbers x where x > -7
B. all real numbers x where x ? -7
C. all real numbers x where x ? 7
D. all real numbers x where x > 
Mathematics
Use a graphing calculator to find the sum.
Round your answer to three decimal places.
A. 31.000 B. 6.200 C. -6.300 D. -4.133
Mathematics