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- Find the equation of the line that is the image set of the flattening f (x,y) = (4x - 2y, 2x - y)Construct a linear map L(z) = az + b that will send the imaginary y-axis to the line v = - uGive the coordinates of X-intercept for the line y = 2(x – 1) +7. |Hide hint for Question 1 Be sure to fill in the blank with the coordinates of the x-intercept in the form (a, b). Use a space after the comma!
- Sketch the graph of f(x.y) = 4x +y + 1. State the domain and range of the function. Which of the following surface graphs represents f(x,y) = 4x + y? + 1? OA. Ов. OC.Let G(u, v) = (5u + v, 30u + 13v) be a map from the uv-plane to the xy-plane. Find the image of the line through the points (u, v) = (1, 1) and (u, v) = (1,–1) under G in slope-intercept form. (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation:Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.
- Sketch the graph of f(x,y) = 5x + 4y – 20. State the domain and range of the function. Which of the following surface graphs represents f(x,y) = 5x+ 4y - 20? OA. OB. OC. (0,0,20) (0,0,20) 5,0,0) (4,0,0) 0,-4,0) (0,-5,0) (0,5,0) (-4,0,0) K(0,0.-20) y yConsider the 2 implicitly-defined curves 5x + 2y + x³ + xy² 3 0 and 4 2x 5y + y² – xy² 0. Plot these 2 functions on the same graph. Notice that it appears as though they intersect at a right angle at the origin. For this discussion post, you will figure out (using Calculus) whether or not these 2 functions actually intersect at a right angle. You do not need to include a graph in your post, but you must explain your answer fully. — - =[10] Please give coordinates for the labeled points A, B, C. Then graph and label these ordered pairs. D(-6,4) F (0, 0) G (3.5, 2.5) Е (3, -1) (a) A = (b) В %- (c) C=
- Consider the point (x,y) lying on the graph of the line 8x + 7y = 3. Let L be the distance from the point (x,y) to the origin (0,0). Write L as a function of x.An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the same as its distance to the x-axis. Find an equation for the path of the ant.Sketch the graph of F(x.y) = /1-x -y. State the domain and range of the function. Which of the following surface graphs represents F(x,y) = /1-x - y? ? O A. OB. OC.