need help with all

QUESTION 5. QUESTION 1. The diagram below shows the graph of y = = in the interval 1 s I S k. Consider the following vectors u, v and w. W Which of the following statements is true? (w= 1+2v (B) wov + 2u (C) W= N - 2v (D) w=v - 2w The region bounded by the curvey = = the x-axis and the lines x = 1 and x = k has area QUESTION 2. 4 = 2 units'. What is the value of k? If u, v. and w are two dimensional vectors, and . denotes the standard vector dot product, ()e which of the following quantities is well defined? (B) + 1 () (u . v)W (C) Ze (n - m) . (a - n) (80 (D) 2 (C) (up) . W (0) QUESTION 6. If f'(x) = Zel and the curve y = /(x) passes through (0,2), then which of the following is the correct expression for /(x) ? QUESTION 3. (A) edx Let u = (2 ) and v = (). Which value of a makes the two vectors parallel? (B) (3 + 1 (C) el + 2 () 4 (D) ex - 1 (B) -4 (C) 2 (D) -2 QUESTION 4. Again, let u = (2") and v = ( "). Which value of a makes the two vectors perpendicular? (A) 1 (B) 2 (C) 3 (D)