Emergency please help

Consider the function f(x, y) = In(12 + 2y) (y - 1)2 Which of the following sets gives the domain of this function? A. R B. {r ER : 2y > -x?} C. {(r, y) ER' : y > -1'/2 and y # 1} D. R2 E. {yER : y7-1} F. {(x, y) ( R' : 12 2 2y and y # -1} G. R3 H. {yER : 971} I. {(x, y) ( R' : In(x2 + 2y) > 0 and y > 1}Consider the following series: OO An+1 A. k+1 7n+3 B. 13 - 12+ 2 n=1 k=1 c. _(-1)n n2 5n n 3n + 1 D. n=1 3n + 4 n=1 Which two (2) of the above series are convergent ? You must select 2 answers:Consider the function f (x) = Assume that this function has a power series x + 3 expansion around 1, given by > on(x - 1)". What is cl? n=0 A. 0 B. e/4 C. 5e2 D. 3e/16 E. 1 F. 2/eConsider the function 2x cos(3x). Which of the following is the power series repre- sentation for this function? DO 2(-3) 2 2n+2 DO A. (2n)! B. 2(-9)2 x2n (2n + 1)! C. (-2) 2 2n+1 n=0 n-0 n-0 (2n + 1)! D. 6(-3)n 2 2(-9)" x2n+1 E. S F. (-1)2 x2n n=0 (2n + 1)! n=0 (2n)! n=0 (2n)!Consider a function f(x, y) which has a contour diagram as in the illustration to the right. Which of the following graphs (illustrated in 3D) is the graph of f? -15 2 10 A. B. C. D