Math 2413Homework Set 610 PointsImplicit DifferentiationFor problems 1 & 2 find y¢. 1. ( )263cos21xyyx=+-2. ( )32253xyyx--=+3.Find the equation of the tangent line to 3415xyy=-eat (0, -2). Related RatesIn order to receive any credit for problems 4 – 7 you MUST use Calculus techniques to find the answer. Any decimal work should include at least 4 decimal places. 4.A snowball in the shape of a sphere is melting and losing volume at a rate of 3 cm3/sec. How fast is the radius of the snowball decreasing when the surface area of the snowball is 35 cm2?5.A water tank is in the shape of a cone whose base radius of 20 ft and height is 50 ft and water is entering the tank at a rate of 6 ft3/hr. At what rate is the height of the water changing when the height of the water is 12 ft. 6.Two people start out 750 meters apart with person A directly to the west of person B.
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