[NOTE: WRITE THE ANSWERS CLEARLY ESPECIALLY IF HANDWRITTEN BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING]

*SHOW THW COMPLETE SOLUTION AND BOX THE FINAL ANSWER.

VI. EXERCISES Solve the following problems. Show your complete solution. 1) Two cars started from the same point. One travels north at 30 km/h and the other travels east at 40 km/h. At what rate is the distance between the two cars changing 3 hours later? (hint: Pythagorean relation) 2) The side of a square increases at a rate of 3 in/sec. How fast is the area and perimeter of the square changing when the side length is 5 inches? (hint: area of square formula, perimeter of a square formula) 3) The surface area of a snowball decreases at a rate of 6 ft/min . How fast is the diameter changing when the radius is 2ft ? (hint: Sphere surface area formula in terms of diameter instead of radius, decreasing is negative)