I need help solving these calculus problems.

Scanned Homework Week 5 1. A ladder 5 feet long is leaning against the side of a building. If the foot of the ladder is pulled away from the building at a constant rate of of 2 inches per second, how fast is the angle formed by the ladder and the ground changing at the instant when the top of the ladder is 4 feet above the ground? 2. Two cars A and B start traveling from a same location. Car A is traveling west at 30 mph and car B is traveling north at 40 mph. At what rate is the distance between the 2 cars changing after 1/2 an hour? 3. Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 16 cm2? 4. Find the linearization of x) 2 (7:? at a = 32. Then, use it to approximate v5 32.4. 5. Use a linear approximation to estimate (1.999)4. 6. Use Desmos to create a picture of your linearization from Question 5. Upload a screen shot of that picture with your submission