Please solve the questions below

1. What is the point of intersection of the line passing through the points A(-1, 2,1), B(2,3, -1) and the plane 1' 3y 2z 3 = D A. The rst choice. B. The second choice. C. The third choice. D. The fourth choice. Z(_1)"2" 2 n_0 3 \"(211)! 3. Which of the following is a parametric equation of the line parallel to the normal line of the surface :l:2+2y2+z2 = 4 at the point (1,1,1) and passing through the point (1, 2,3) ? A. The rst choice. B. The second choice. C. The third choice. D. The fourth choice. 4. Let Emu...\" \""4\" = limnnw b\" = 2 where a... > 0, by. > O for all n E Z41. Then which of the following is correct for the series given by I30 I30 I 211,, II 2 b" \"=1 n=1 5. Let g be a di'erentiable function where g'(4} 2 and 2 be dened implicitly as a function of x and y by the following equation: g(:cz)= J. Then which of the following IS the value of the derivative :at the point (2, 2 ,2}? 6. Use any method to determine if the series converges or diverges. (n+3)! n! n2"(n+1}! Z 3!n!3\" E (211+ 1)! Z 3"n! \"=1 n=1 7. Which of the series converge absolutely, which converge, and which diverge? 22(_1)n_'/= Z(1)nn+3 Z(1)"5in Z(_I)ncosn7r 2 \"=1 n=l \"=1 n \"=1 11