1. We have used two-dimensional rectangular elements to model temperature distribution in a thin plate. The values of nodal temperatures for an element belonging to such a plate are given in the accompanying figure. Using local shape functions, what is the temperature at the cen- ter of this element? Temperature CourseSm 108°F ⒸCourseSmart 112°F 102°F 105°F CourseSmart -0.2 in. m 0.1 in. X 2. Determine the temperature at the center of the element in Problem 1 using natural shape functions. 3. For a rectangular element, derive the x- and y-components of the gradients of a dependent variable V.