Consider the function /(x) = -1+ 30r+ 15.3 - 273. On the graph y = f(a) on the domain ( 7,7): 1. -coordinate of the local maximum fi. T-coordinate of the absolute maximum "-coordinate of the local maximum 7. "-coordinate of the absolute maximum 3. a-coordinate of the local minimum 8. -coordinate of the absolute minimum 4. "-coordinate of the local minimum "-coordinate of the absolute minimum 5. x-coordinate of the inflection point 10. /-coordinate of the inflection point [- 7, a) 11. The function is concave up on the interval Find a. The function is & wearing on the interval (b. c). mcrea Say 12. Find b. 13. Find c.its base is sliding away at Ift 1. A ladder 13 feet long is sliding down a wall and its base is sliding on the ground away from the wall, When the top of the ladder is 7 feet above the ground, how fast is the better sliding brace from the wall, in foot per second? Sec 2. top An ideal gas obeys Boyle's Law. At a certain time, its pressure is 30 atm, its volume is 500 cm", and its pressure is decreasing at a rate of 1 atm/sec. How fast is the pressure increasing at this time! 3. Two non-negative numbers add up to 14. What is the maximum possible value of their product? 4. Let point P be the point on the line y = 8x - 2 that is closet to the origin. What is the distance from P to the origin? 5. Find a value of c that satisfies the conclusion of the Man Value theorem for the function /() = x +5x+3 on the interval [1,7].True / False 1. Suppose /(a) is differentiable at > = 3 and /"(3) = 2. Then f(a) has a local minimum at = = 3. 2. If g(er) has a local minimum at a = 3. then g'(a) must be defined at s = 3. 3. Suppose a driver drives from point A at 2:00 pm in a straight line and arrives at point B at 5:30 pm, on the same day. Point A is 2010 miles away from point B. The speed limit is 55 miles per hour. We can conclude that the driver did NOT break the speed limit at any point on the trip. 4. It is possible for a function to have infinitely many local maxima on a domain of (-00, 00).FREE RESPONSE # 1. (10 points total) You do NOT have to simplify/expand your v' + Bay tay - 8-0 Find using implicit differentiation