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## Homework Statement

Consider the heat density function for a metal plate: x + y

^{2}+ x

^{2}

Find the total heat in the plate given that the plate resides in the region x≥0, y≥0, x

^{2}+ y

^{2}≥ 1

## The Attempt at a Solution

i thought it was pretty straightforward. i did a double integral with both limits being 0 to 1 but my professor said the y limit is not to 1. what is the top limit then?