Consider the function /(x) = -1+36 + 15.' - 273. On the graph y = f(x) on the domain (-7,7): 1. r-coordinate of the local maximum 6. T-coordinate of the absolute maximum 2. y-coordinate of the local maximum 7. #-coordinate of the absolute maximum 3. r-coordinate of the local minimum 8. -coordinate of the absolute minimum 4. y-coordinate of the local minimum y-coordinate of the absolute minimum 5. z-coordinate of the inflection point 10. W/-coordinate of the inflection point [-7, a) 11. The function is concave up on the interval Find a. The function is & meeting on the interval (b, c). Increasing 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 bester sliding one from the wall, in feet per second? sec top 2. 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 = &x - 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) = x' + 5x +3 on the interval [1,7).FREE RESPONSE # 1. (10 points total) You do NOT have to simplify /expand your answers. ' + Bry + zy - 8-0 Find dy dz using implicit differentiation