Problem 1 & 2 both please full explanation urgent

To solve problems 1 through 5, it is helpful to choose a special coordinate system to define the angular variables (in particular, to carefully choose the vector by which the polar angle is calcu- lated). None of the results requested in these problems depend on the choice of this coordinate system. You may make use of the fact that f($2) = f(/, y) is a periodic function of y with period 2x, i.e. f( #, 7) = f(1, 7 + 2 ). In problems 3 through 5, A, B, and C are arbitrary constant vectors with arbitrary magnitudes A = [A| = VA . A, etc. In these problems, your results should be expressed independently of any coordinate system, i.e. directly in terms of the vectors A, B, and C or their magnitudes A, B, and C. PROBLEM 1: If f ($2) is an antisymmetric (odd function) of 1, i.c. 1(-2) = -1(02) [or f (-1, 7 + #) = -1( , 7)] then show that for any constant vector A: and f(2)as = 0. PROBLEM 2: /If f($2) is a symmetric (even function) of 2, i.e. f (-12) = 1(52) [or f (-1, 7 + +) = f(1, 7)] then show that for any constant vector A: 12 1(2 ) an = $ ($2 ) dish, 41 and integral