Which of the following statements is/are true? (5 points)
i. if f '(x) exists and is nonzero for all x, then f(1) ≠ f(0)
ii. if f is differentiable for all x and f (-1) = f(1), then there is a number c, such that |c| < 1 and f '(c) = 0.
iii. if f '(c) = 0, then f has a local maximum or minimum at x = c.

i only
ii only
i and iii only
i and ii only

Choosing a booth location: your manager is sending two people to work at the conference. she wants a booth that will give your company good visibility for no more than 35% of the total budget ($3000). the conference coordinator just told you there are only five booths left. which booth will you choose? write the inequality that shows how much money you can spend on the booth simplify the inequality that shows how much money you can spend on the booth.

What can each term of the equation be multiplied by to eliminate the fractions before solving? x – + 2x = + x 2 6 10 12

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.