Suppose g(x) is a positive continuous function defined for x ≥ 2. determine if each of the statements below can be used to support the conclusion that ∞ g(x) dx 2 converges. (each statement is independent of the others.) (a) b g(x) dx 2 = 1 4 − 1 b2 yes no (b) 0 < g(x) < 1 x3 yes no (c) lim x→∞ g(x) = 0 yes no (d) 0 < g(x) < 1 yes no

Find the value of x. give reasons to justify your solutions! h ∈ ig

Question 1 of 10 2 points different groups of 50 graduates of an engineering school were asked the starting annual salary for their first engineering job after graduation, and the sampling variability was low. if the average salary of one of the groups was $65,000, which of these is least likely to be the average salary of another of the groups? o a. $64,000 o b. $65,000 o c. $67,000 o d. $54,000

Sketch the vector field vector f( vector r ) = 8vector r in the xy-plane. select all that apply. the length of each vector is 8. the lengths of the vectors decrease as you move away from the origin. all the vectors point away from the origin. all the vectors point in the same direction. all the vectors point towards the origin. the lengths of the vectors increase as you move away from the origin.