A contour map for a function z=f(x, y) is given: Answer the following questions: Question 1. A contour map for a function z S(z,y) is given: -2 k-1 k-1- k-2 Answer the following questions. (a) (1 point) What is f(-1,1)? (b) (2 points) Describe the set of all points (r, y) such that f(z,y) = 0. Which of the following graphs best represents the graph of this function? (c) (1 point) B. A. D. Question 1. A contour map for...
2. The contour map shows the snowfall in inches that fell on the state of Colorado on a particular day. a. Use the midpoints rule with the 4x4 grid to estimate Jos(x,y)dA, where R is the state of Colorado, s(x,y) the amount of snowfall and x and y are measured in miles. b. Use the result of part a, to estimate the average snowfall over the state.
Select the contour map of the function. f(x,y) = y/(x^2+y^2)
11. The figure shows the contour map of the function T (in "C giving the temperature at each point (r, y) on an 8cm x 5 cm rectangular metal plate. Use it to estimate the rate of change of the temperature at the point (3,2)in the positive r-direction and in the positive y-direction. 4 75 80 105 00 9508:s 0 11. The figure shows the contour map of the function T (in "C giving the temperature at each point (r,...
1) The contour map of 2 =/(x,y) is shown below. Use a Riemann sum to approximate the integral S(x,y) dx dy and then use that same Riemann sum to estimate the average value of f(x,y) over the region R = (0,4] [0,2]. K-12 ko -62 k>4 6 K 2
1. Make a rough sketch of a contour map for the function whose graph is shown. 2. The wind-chill index w is the perceived temperature when the actual temperature is T C) and the windspeed is u (km/h), so we can write W-f(T ) . Consider the followi table and respond to the following items: a. Estimate the values of fr - 15, 30) andf(-15, 30). What are the practical interpretations of these values? b. In general, what can you...
[Question 1] Find and graph the domain of the function f(,y)-In-) Question 2] Graph a contour map of the function f(z, y)2s y 1 that contains four level curves. Make sure to find an equation for each level curve and label each one on the graph. IQuestion 3] The equation of the tangeat plane to the function z the equation: Using the form of the equatioa above, fiud the tangent plane to f(a,y)yat the point (2. ). Question 4] Find...
A function f : R^2 ↦R is called a metric if f(x, y) >= 0 for all x, y that are an element of R, f(x,y) = 0 if and only if x = y, and for any x, y, z we have f(x, z) <= f(x,y) + f(y, z). Is the function f(x, y) = the square root of |x - y| a metric or not?
2.1(9pts) Consider thc following contour plot for thc arbitrary function f(x,y): Y 0 2 Х -1 + 1. What is vf(0,0). Why? 2. At the point (0,2), in what direction should one move to increase the fastest? 3. Which vector has the greater magnitude: Vf(-1,0) or f(2,0)? CS Scanned with CamScanner
(1 point) A contour diagram for a function f(x,y) is shown below. 4 --- - -- --5 ---- - - 4 ----- Estimate the position and approximate value of the global maximum and global minimum on the region shown. Global maximum at Global minimum at