Can I have help on 1 and 2 for correct answer and are in most simple way on this homework assignment I'm stuck in on number 2. You are allowed to use calculator but you are not allowed in 1. Thanks so much ??

your answers. 1. Consider the family of curves described by: x? + xy + ay - b. Remember to justify A. Let a - I and b- 7. Find the two x-intercepts. B. Let a = | and b= 7. Using the two points you found in part A, show that the tangents to the curve at these points are parallel, and find the common slope. C. A given curve in the family x + xy + ay" - b has a tangent line at point (1, 3) with 14 slope -. What are the values of a and b? 2. Suppose a coin is dropped from the top of the Empire State building in New York, which is 1,454 feet tall. The position function for free-falling objects is: s(/) - -167 + v. +s., where vo is the initial velocity and s. is the initial position. A. Determine the position and velocity functions for the coin, B. Determine the average velocity of the coin on the interval [1, 3] C. Find the instantaneous velocities when I - I and 1 - 3. D. At what time is the instantaneous velocity of the coin equal to the average veloc the coin found in part B? E. What is the name of the theorem that says there must be at least one solution to part D