I would like some assistance with the following calculus questions

8. In the constant elasticity of substitution (CES) production function q = A[8KP + (1 - 6) LP]1/P, find the degree of homogeneity of the marginal product of capital MP and the marginal product of labour MP,. Show also that Euler's Theorem applies. 9. Find the global maximum and minimum values of (i) f(x) - 6vx -3x on [0,9] (ii) F(x) = 6Vx - 4x on [0, 4] (iii) H(x) = |x2 - 1| on [-2,2] (iv) f(x) = 3x4 - 4x3 on [-2,3] 10. Find the Euclidean distance between the given points. (i) 6 and -8 in R (ii) (3, -4) and (-4, -5) in R (iii) (-1, 4, 9) and (1, 2, -9) in R (iii) (2, -3, -5, 0) and (1, -4, 0, -3) in R* 1 1. Describe the following & - neighbourhoods. (i) N. (9) (ii) N, [(-1,5) ] (iii) N [(9,2, -1)]