dx Assume that x = x(t) and y = y(t). Let y = x + 7 and =4 when x = 1. dt dy Find dt when x = 1. dy dt (Simplify your answer.)A circle is growing, its radius increasing by 4 mm per second. Find the rate at which the area is changing at the moment when the radius is 30 mm. When the radius is 30 mm, the area is changing at approximately (Round to the nearest thousandth as needed.) 2 mm . 2 mm per second. second(s) per mm. second(s).The volume of a cantaloupe is approximated by V= -*r". The radius is growing at the rate of 0.5 cm/week, at a time when the radius is 5.9 cm. How fast is the volume changing at that moment? The volume is changing at a rate of about (Round to one decimal place as needed.) cm/week. cm. cm /week. weeks. cm /week