The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet:
. part a: what do the x-intercepts and maximum value of the graph represent? what are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)
part b: what is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent? (4 points)

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?