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We're given a function g of r, s, t, is equal to r times e to the exponential power of s over t.
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We want to compute, given this, a, g of 1 -1 -1, b, g of 101, and c, g of negative 1, negative 1, negative 1.
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This question is testing our fundamental understanding of how to use functions of multiply multiple variables, which is a cornerstone of multivariate calculus.
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To answer this question, we're going to plug into the equations given values of r, s, and t, and then simplify expression as much as possible.
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So, for instance, for part a, g of 1, 1, 1, 1 is 1, r is 1, s is 1, t is 1...