Consider the improper integral ∞ 4 + cos(θ) θ2 dθ 1 determine if the improper integral converges or diverges. converges diverges which of the following can be used to support your conclusion? lim θ→∞ 4 + cos(θ) θ2 = 0 4 + cos(θ) θ2 > 0 4 + cos(θ) θ2 ≤ 5 θ2

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Find the measure of the angle indicated in bold

70 points ! pls 2. given the following two sets of data what is the union of the two sets and what is the intersection of the two sets. set a = {1, 2, 3, 4, 5, 6, 7, 8, 9} set b = {2, 4, 6, 8, 10, 12, 14} 3. given a regular deck of cards. describe a way of pulling cards that would create a dependent event and then one that would create an independent event. 4. what is the probability of drawing a red card and then drawing a spade without replacing the card that was drawn first?