An astronomer estimates that in a certain constellation, the number of stars per magnitude m, per degree squared of sky, is equal to A(m) 2 4 10 6 m 7 4 (fainter stars have higher magnitudes) Determine the total number of stars of magnitude between 6 and 15 in a 1 degree squared region of sky ...

An astronomer estimates that in a certain constellation, the number of stars per magnitude m, per degree-squared

Question:

An astronomer estimates that in a certain constellation, the number of stars per magnitude m, per degree-squared of sky, is equal to A(m) = 2.4 × 10⁻⁶m^7.4 (fainter stars have higher magnitudes). Determine the total number of stars of magnitude between 6 and 15 in a 1-degree-squared region of sky.

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