Problem 1E: In Example 2 we considered the function W=f(T,v), where W is the wind-chill index, T is the actual... Problem 2E: The temperature-humidity index I or humidex, for short is the perceived air temperature when the... Problem 3E Problem 4E: Verify for the Cobb-Douglas production function P(L,K)=1.01L0.75K0.25 discussed in Example 3 that... Problem 5E Problem 6E Problem 7E Problem 8E: A company makes three sizes of cardboard boxes: small, medium, and large. It costs 2.50 to make a... Problem 9E Problem 10E: Let F(x,y)=1+4y2. aEvaluate F(3,1). bFind and sketch the domain of F. cFind the range of F. Problem 11E: Let f(x,y,z)=x+y+z+ln(4x2y2z2). aEvaluate f(1,1,1). bFind and describe the domain of f. Problem 12E: Let g(x,y,z)=x3y2z10xyz. aEvaluate g(1,2,3). bFind and describe the domain of g. Problem 13E: Find and sketch the domain of the function. f(x,y)=x2+y1 Problem 14E: Find and sketch the domain of the function. f(x,y)=x3y4 Problem 15E Problem 16E Problem 17E: Find and sketch the domain of the function. g(x,y)=xyx+y Problem 18E: Find and sketch the domain of the function. g(x,y)=ln(2x)1x2y2 Problem 19E: Find and sketch the domain of the function. f(x,y)=yx21x2 Problem 20E Problem 21E: Find and sketch the domain of the function. f(x,y,z)=4x2+9y2+1z2 Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: Sketch the graph of the function. f(x,y)=sinx Problem 28E Problem 29E Problem 30E: Sketch the graph of the function. f(x,y)=4x2+y2 Problem 31E: Sketch the graph of the function. f(x,y)=44x2y2 Problem 32E: Match the function with its graph labeled IVI. Give reasons for your choices. a f(x,y)=11+x2+y2 b... Problem 33E Problem 34E: Shown is a contour map of atmospheric pressure in North America on August 12, 2008. On the level... Problem 35E: Level curves isothermals are shown for the typical water temperature in C in Long Lake Minnesota as... Problem 36E: Two contour maps are shown. One is for a function f whose graph is a cone. The other is for a... Problem 37E Problem 38E Problem 39E: The body mass index BMI of a person is defined by B(m,h)=mh2 where m is the persons mass in... Problem 40E Problem 41E: A contour map of a function is shown. Use it to make a rough sketch of the graph of f. Problem 42E: A contour map of a function is shown. Use it to make a rough sketch of the graph of f. Problem 43E: A contour map of a function is shown. Use it to make a rough sketch of the graph of f. Problem 44E: A contour map of a function is shown. Use it to make a rough sketch of the graph of f. Problem 45E Problem 46E Problem 47E Problem 48E: Draw a contour map of the function showing several level curves. f(x,y)=ln(x2+4y2) Problem 49E Problem 50E: Draw a contour map of the function showing several level curves. f(x,y)=yarctanx Problem 51E Problem 52E: Draw a contour map of the function showing several level curves. f(x,y)=y/(x2+y2) Problem 53E: Sketch both a contour map and a graph of the function and compare them. f(x,y)=x2+9y2 Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E: Use a computer to graph the function using various domains and viewpoints. Get a printout of one... Problem 59E Problem 60E Problem 61E: Match the function a with its graph labeled AF below and b with its contour map labeled IVI. Give... Problem 62E: Match the function a with its graph labeled AF below and b with its contour map labeled IVI. Give... Problem 63E: Match the function a with its graph labeled AF below and b with its contour map labeled IVI. Give... Problem 64E: Match the function a with its graph labeled AF below and b with its contour map labeled IVI. Give... Problem 65E: Match the function a with its graph labeled AF below and b with its contour map labeled IVI. Give... Problem 66E: Match the function a with its graph labeled AF below and b with its contour map labeled IVI. Give... Problem 67E Problem 68E Problem 69E Problem 70E: Describe the level surfaces of the function. f(x,y,z)=x2y2z2 Problem 71E Problem 72E: Describe how the graph of g is obtained from the graph of f. a g(x,y)=f(x2,y) b g(x,y)=f(x,y+2) c... Problem 73E Problem 74E Problem 75E: Graph the function using various domains and viewpoints. Comment on the limiting behavior of the... Problem 76E Problem 77E Problem 78E: Use a computer to investigate the family of surfaces z=(ax2+by2)ex2y2 How does the shape of the... Problem 79E Problem 80E Problem 81E format_list_bulleted