This graph represents the function f, consisting of a semicircle and three line segments. It can be graphed using the piecewise function:
f(x) = {
√4 – (x + 3)^2 –5 ≤ x < –1
4x + 4 –1 ≤ x < 0
4 0 ≤ x < 2
10 – 3x 2 ≤ x ≤ 5
Let g(x) = 2x + ∫ f(t) dt x
.
a) Compute g(5). Find g′(x) and evaluate g′(–3).
b) Find the absolute maximum value of g on the closed interval [–5, 5]. Justify your answer.
c) The second derivative of g is undefined at x = –1, x = 0, and x = 2. Which values are the xcoordinates of the points of inflection of the graph of g? Justify your answer

On a piece of paper, graph y< x+1. then determine which answer matches the graph you drew.

Can someone me out here and the tell me the greatest common factor

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)