1) (6 pts ) An airplane passes over an airport at 2 pm traveling 450 miles per hour north-west. At 3:30 pm , another airplane passes over the same airport at the same elevation traveling due east at 500 miles per hour. Assuming both planes maintain their (equal) elevations, how fast is the distance between them changing at 4:15 pm? Use the concepts of Related Rates to solve. Be sure to draw your picture, label the givens, provide an equation that relates the givens to the variable we seek. Give exact value as the answer ( no decimal approximations) 17) {+6 pts ) A meteoroid is heading towards earth at 100 miles/sec the path ofthe meteor has been modeled with the equation f(x) = 3x+ 28 where x is measured in thousands of miles and the center of the earth is at the origin. If the radius of the earth is approximately 4000 miles how close to the surface of the earth does the meteor come? Round your answer to the nearest mile. Does it collide into the earth ! Assume we are working in a plane region