Homework 6.1

1. Let

$$\begin{gathered} f\left(0,–3\right) = \\ f(–3,2) = \\ f(3,2) = \end{gathered}$$

2.

$f\left(e^4, 10\right) =$

3.  Determine the domain for the function of two variables

Choose the correct answer below

4.  The Haycock formula for approximating the surface area​ S, in square meters ​(

) of a human is given by the formula​ below, where h is the​ person’s height in centimeters and w is the​ person’s weight in kilograms. 

$S\left(h,w\right)=0.024265h^{0.3964}{w}^{0.5378}$

Use the Haycock approximation to estimate the surface area of a person whose height is 156 cm and whose weight is 71kg.

____

5.   Under certain​ conditions, the wind speed​ S, in miles per​ hour, of a tornado at a distance d feet from its center can be approximated by the function shown below where a is a constant that depends on certain atmospheric conditions and V is the approximate volume of the​ tornado, in cubic feet. Approximate the distance from the center of the tornado if the wind speed measures 210 mph when its volume is 1,300,000

. and a =0.75

$S(a,d,V) =\frac{aV}{0.51d^2}$

The distance from center when the wind speed is 210 mph is ____