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The nodal temperatures of nodes i and j (same as local nodes 1 and 2) of an element in a one- dimensional fin are known to be T;=120C and T} = 80C with the x-coordinates x;= 30 an and x;= 50 cm. Find the following: k2 a. Shape functions associated with the nodal values T; and Tj. b. Interpolation model for the temperature inside the element, T(x). c. Temperature in the element at x= 45 cm. The nodal temperatures of nodes i and j (same as local nodes 1 and 2) of an element in a one- dimensional fin are known to be T;=120C and T} = 80C with the x-coordinates x;= 30 an and x;= 50 cm. Find the following: k2 a. Shape functions associated with the nodal values T; and Tj. b. Interpolation model for the temperature inside the element, T(x). c. Temperature in the element at x= 45 cm