Student Name:Sections 3.9 (Due: Thursday, 10/18)Description: This homework will help you understand the concept of related rates and the procedure to handle the problems on related rates. Show all work to get full credit.1) 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 49 cm2?cm2/s2) The radius of a sphere is increasing at a rate of 6 mm/s. How fast is the volume increasing when the diameter is 80 mm? Evaluate your answer numerically.mm3/s3) 4) A particle moves along the curve below. As it reaches the point (2, 3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant?cm/s5) If a snowball melts so that its surface area decreases at a rate of 2.5 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm. (Give your answer correct to 4 decimal places.)cm/min6) Two cars start moving from the same point. One travels south at 36 mi/h and the other travels
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