Answer 3 and 4 only with complete solutions if you’ll write it please make sure it is understandable, thank you Solve the following problems involving related rates:A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mmper day. How fast is its surface area increasing when the radius is 10 mm2tone is dropped into a lake and makes circular ripples over the surface of the water2.Tf the radius of each circle is increasing at the rate of 10 in/s, how fast is the area of thecircle formed by the ripple increasing when the radius is 20 in?3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at therate of 12 cm2/s. At what rate is the base of the triangle changing when the altitude is20 cm and the area is 100 cm??4 The base of a rectangle is changing at the rate of 3 in/min. If its height remains constant,determine the rate of change of its perimeter with respect to time?5. A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and4 in/min, respectively. If the height is always twice the radius, find how fast the volumeof the tube is increasing when its radius is 10 in.wod6. Air is being pumped into a spherical balloon at a rate of 4 cm³/min. How fast is the radiusof the balloon increasing when its diameter is 24 cm?7. Air is being released from a spherical balloon where the radius is changing at the rate of2 cm/s. How fast is the volume of the balloon decreasing when the volume of the balloonis 30 cm³/s?8. A plane is flying horizontally at a constant height of 20 mi from the ground. From a pointon the ground, it is observed that it is flying away at a speed of 10 mi/h. How fast is itsdistance from the point on the ground changing when its distance from the point is 40 mi?A ladder, 10 m long, is leaning against a vertical wall. If its foot is given a push at the rateof 2 m/min towards the wall, how fast is its top sliding up the wall when it is 6 m fromthe ground?9.

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