Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.
A. ?
B. 1
C. Does not exist
D. -?
Answer: D
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The following data show the mass M, in solar masses, and the relative luminosity L (the ratio of a star's luminosity to that of the sun) of various stars. Star Spica Vega Altair Sun 61 Cygni A M 7.3 3.1 1 1 0.17 L 1050 55 1.1 1 0.002? A: Use power regression to model the luminosity as a function of the mass. Use two digits of accuracy for the coefficient and for the power.B: What is the mass of a star with a relative luminosity of 6.43? Round your answer to two decimal places.C: If one star has a mass of 17 times that of another, how do their luminosities compare? Round your answer to two decimal places.
What will be an ideal response?
Factor the trinomial completely.u2 - 2uv - 80v2
A. (u - 8v)(u + v) B. Prime C. (u - 8v)(u + 10v) D. (u + 8v)(u - 10v)
Factor.p4 - 11p2 + 24
A. (p2 - 3)(p2 - 8) B. (p2 - 3)(p2 + 8) C. (p2 - 24)(p2 - 1) D. p2(p - 3)(p - 8)
Find the limit algebraically.
A. 0 B. -16 C. 16 D. does not exist