From a table of F critical values for ν1 = 3 degrees of freedom and for three values of v2 = 60, 120, and ∞ df, we have (respectively) 2.76, 2.68, and 2.61. Find the critical value for ν2 = 75 df by...

From a table of F critical values for ν1 = 3 degrees of freedom and for three values of v2 = 60, 120, and ∞ df, we have (respectively) 2.76, 2.68, and 2.61. Find the critical value for ν2 = 75 df by three methods: (a) linear interpolation on ν2; (b) linear interpolation on 1/ν2; (c) quadratic interpolation on 1/ν2.