Problem 1RCC Problem 2RCC: What is a function of three variables? How can you visualize such a function? Problem 3RCC Problem 4RCC: (a) What does it mean to say that f is continuous at (a, b)? (b) If f is continuous on 2, what can... Problem 5RCC Problem 6RCC: What does Clairauts Theorem say? Problem 7RCC Problem 8RCC: Define the linearization of f at (a, b). What is the corresponding linear approximation? What is the... Problem 9RCC Problem 10RCC: If z = f(x, y), what arc the differentials dx, dy, and dz? Problem 11RCC: State the Chain Rule for the case where z = f(x, y) and x and y arc functions of one variable. What... Problem 12RCC: If z is defined implicitly as a function of x and y by an equation of the form F(x, y, z) = 0, how... Problem 13RCC Problem 14RCC Problem 15RCC Problem 16RCC Problem 17RCC: State the Second Derivatives Test. Problem 18RCC: (a) What is a closed set in 2? What is a bounded set? (b) State the Extreme Value Theorem for... Problem 19RCC: Explain how the method of Lagrange multipliers works in finding the extreme values of f(x, y, z)... Problem 1RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 2RQ Problem 3RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 4RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 5RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 6RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 7RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 8RQ Problem 9RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 10RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 11RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 12RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 1RE: Find and sketch the domain of the function. 1. f(x, y) = ln(x + y + 1) Problem 2RE: Find and sketch the domain of the function. 2. f(x,y)=4x2y2+1x2 Problem 3RE: Sketch the graph of the function. 3. f(x, y) = 1 y2 Problem 4RE: Sketch the graph of the function. 4. f(x, y) = x2 + (y 2)2 Problem 5RE: Sketch several level curves of the function. 5. f(x,y)=4x2+y2 Problem 6RE: Sketch several level curves of the function. 6. f(x, y) = ex + y Problem 7RE: Make a rough sketch of a contour map for the function whose graph is shown. Problem 8RE: The contour map of a function f is shown, (a) Estimate the value of f(3, 2). (b) Is fx(3, 2)... Problem 9RE Problem 10RE Problem 11RE Problem 12RE Problem 13RE Problem 14RE Problem 15RE Problem 16RE: The speed of sound traveling through ocean water is a function of temperature, salinity, and... Problem 17RE Problem 18RE Problem 19RE Problem 20RE Problem 21RE: If z = xy + xey/x show that xzx+yzy=xy+z. Problem 22RE Problem 23RE Problem 24RE Problem 25RE Problem 26RE Problem 27RE Problem 28RE Problem 29RE Problem 30RE: Find du if u = ln(1 + se2t). Problem 31RE Problem 32RE Problem 33RE Problem 34RE: If v = x2sin y + yexy, where x = s + 2t and y = st, use the Chain Rule to find v/s and v/t when s =... Problem 35RE Problem 36RE Problem 37RE Problem 38RE: The length x of a side of a triangle is increasing at a rate of 3 in/s, the length y of another side... Problem 39RE Problem 40RE: If cos(xyz) = 1 + .x2y2 + z2, find zx and zy. Problem 41RE Problem 42RE Problem 43RE Problem 44RE: Find the directional derivative of f at the given point in the indicated direction. 46.... Problem 45RE: Find the maximum rate of change of f(x,y)=x2y+y at the point (2, 1). In which direction does it... Problem 46RE: Find parametric equations of the tangent line at the point (2, 2, 4) to the curve of intersection of... Problem 47RE: Find the local maximum and minimum values and saddle points of the function. If you have... Problem 48RE: Find the local maximum and minimum values and saddle points of the function. If you have... Problem 49RE: Find the local maximum and minimum values and saddle points of the function. If you have... Problem 50RE: Find the local maximum and minimum values and saddle points of the function. If you have... Problem 51RE: Find the absolute maximum and minimum values of f on the set D. 55. f(x, y) = 4xy2 x2y2 xy3; D is... Problem 52RE: Find the absolute maximum and minimum values of f on the set D. 55. f(x,y)=ex2y2(x2+2y2); D is the... Problem 53RE: Use a graph or level curves or both to estimate the local maximum and minimum values and saddle... Problem 54RE: Use a graphing calculator or computer (or Newtons method or a computer algebra system) to find the... Problem 55RE: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given... Problem 56RE: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given... Problem 57RE: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given... Problem 58RE: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given... Problem 59RE Problem 60RE: A package in the shape of a rectangular box can be mailed by the US Postal Service if the sum of its... Problem 61RE: A pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the figure. II the... Problem 62RE format_list_bulleted