10FallHwk06

# 10FallHwk06 - Math 2413 Implicit Differentiation For...

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Math 2413 Homework Set 6 10 Points Implicit Differentiation For problems 1 & 2 find y ¢ . 1. ( ) 2 63 co s 21 x yyx =+- 2. ( ) 3 2 25 3 x y yx - - =+ 3. Find the equation of the tangent line to 3 4 15 xy y =- e at (0, -2). Related Rates In 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 cm 3 /sec. How fast is the radius of the snowball decreasing when the surface area of the snowball is 35 cm 2 ? 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 ft 3 /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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