2. let v = c2(r, r) be the collection of functions f : r + r for which f, f', f" are continuous. let u = {f ev: f" + f = 0}. (a) show that u sv. carefully explain your answer. (b) find two functions fı, f2 € u such that s = {f1, f2} is linearly independent.

15 points! write the slope-intercept form of the equation of the line through the given point with the given slope. use y-y = m(x-x) to solve. through (2,5) slope= undefined

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

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10