Question 1 (10 points) Determine the domain of the following function and sketch a contour plot...
QUESTION 9 Find the domain and range and describe the level curves for the function f(x,y) y+10 1(x, y)s a.Domain: all points in the x-y plane excluding x O: range: all real numbers; level curves: parabolas y ex2-10 b. Domain all points in the xey plane; range: real numbersz 0: level curves: parabolas y- ex2- 10 Domain :all points in the x-y plane; range: all real numbors; levol curvos: parabolas y ex2-10 d. Domain all points in the x-y plane...
1. (a) Sketch a contour diagram for the function (x,y) y, and include gradient vectors at some various points. (b) Sketch a contour diagram for a function g(z,y), and include some gradient vectors, where the following propertics are satisfied The gradient vectors at points on the r-axis (other than the origin) are all parallel but never equal. In other words, for cach pair of distinct non-zero numbers ,2 there's some constant kメ1 such that ▽g(zi,0-k (Vg(T2,0). Vo(x,0)-Vg(r, 1) for all...
For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asympto 4x x +1 fox) x+1 (A) What are the x-intercepts? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The x-intercept(s) is/are O B. There are no x-intercepts. What are the y-intercepts? Select the correct choice below and, if necessary, fill in the answer box within your choice....
1). For the function, f(x) X-4X+2XY+2Y2+2Y+14 a. Plot the surface function for X over [5 61, and Y over [-4,-2]," b. Draw the contour plot for X over [0 10], and Y over [-4,-2] and values for the contours 1.25 1.5 2 25 3 of V c. Write an m-file to find the minimum of the function using the gradient descent method. Use a starting value of [4,-4]. 1). For the function, f(x) X-4X+2XY+2Y2+2Y+14 a. Plot the surface function for...
Sketch the logarithmic function. Label three points that lie on the graph, and determine the domain and the equation of any vertical asymptotes f(x) = -log, X la-1 Use the graphing tool to graph the function. ua- Click to enlarge -10 B- 545 er- graph Determine the domain of f(x). The domain of f(x)is (Type your answer in interval notation.) Determine the equation of any vertical asymptotes Select the correct choice below and, if necessary, fill in the answer box...
please show correct answer, thank you Find and sketch the domain of the function. f(x, y) = √y+√4x² - y2 у 0 0 4 X 0 2 0 Type here to search a i
[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...
QUESTION 5 a) Find and sketch the domain of the function f(x,y) = \n(x2 - y +1) + VÝ +1. (5 marks) b) Evaluate eży sin(3x +2y) lim (x,y) (-2,3) 3x +2y (6 marks)
2 + (a) Determine and sketch the domain of the function f(x, y) = (x2 + y2 – 4) 9 – (x2 + y2). [7] x6 – yo (b) Evaluate lim (x,y)+(1,1) - Y [5] (c) What does it mean to say that a function f(x, y) has a relative minimum at (a,b)? [4] (d) Find all second order partial derivatives of the function f(x,y) = 22y.
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...