2. Graded for Accuracy Sarah has a new puppy, and she is keeping careful track of the puppy's height and weight. So far, the puppy's height H (measured in feet) and weight W (measured in pounds) appear to be related by the equation W (HW2 + 100) = 2000H. Here is the graph of this implicit curve: W (pounds) 15 10 5- H (feet) 0.5 1.5 2 dW (a) When the puppy is 1 foot tall, it weighs 10 pounds. Use implicit differentiation to find at dH this moment. dw (b) What are the units of dH (c) Find the line tangent to the graph at the point (1, 10). (d) Use linear approximation to approximate the puppy's weight when it is 1.1 feet tall. Take a moment to think about your final answer: does it make sense? If the puppy is 10 pounds when it's 1 foot tall, what's a reasonable weight when it's 1.1 feet tall