correct answer is B
7. Let f(x, y)In ()sin(x -y). Determine what the correct contour plot is of f from the choices below Circle the correct...
Problem 2: Create a surface plot and a contour plot of the function f(x, y) = xe-I(x-y2)*+y?] Where -2 x 2 and -2 < y s 2. Use a step size of 0.1. Add labels to the axis
Problem 2: Create a surface plot and a contour plot of the function f(x, y) = xe-I(x-y2)*+y?] Where -2 x 2 and -2
6. Plot the 3D surface and contour levels of the following function: z(x, y)cos(2y-x) sin(2x) such that-π x π and-r y < π [10 marks] 7. Create a 5 x 5 random matrix M6 with elements ranging from 10 to 33. Using indexing, define the following arrays: An array containing all elements of M6 that are greater than 3 and smaller 6 marks] An array containing all elements of M6 that are negative or between 29 and 33. 6 marks...
(1 point) Let +4z + 4 sin (a) Find curl F. curl F- (b) What does your answer to part (a) tell you about JcF dr where C is the circle (x 30)2 + (y - 10)2 1 in the xy-plane, oriented clockwise? (e) If C is any closed curve, what can you say about fcFdr? (d) Now let C be the half circle (-30)2-cy-10)2-1 in the xy-plane with y 10, traversed from (31, 10) to (29, 10). Find F...
5 points) 1. Circle the correct answer. Use the graph of y = f(x) to solve f(x) < 0. A) (-2, 0) U (3,00) TVfx) B) (-2,0] [3,00) C) (-00, 2] U [0,3] D) (-00,-2) (0,3) E) none of the above
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0
4. (a Let (sin( x cos( ) dr...
Please show all the work to complete the question and explain
each step, please. Thank you!
Let F(x, y) e*y (y cos x - centered at (1,0) in the first quadrant, traced clockwise from (0,0) to (2, 0). And suppose that C2 is the line from (0,0) to (2,0). sin x) xexy cos xj. Suppose that C1 is the half of the unit circle (A) Use the curl test to determine whether F is a gradient vector field or not....
7. Let z x+y (a) Show that f(z) z3 is analytic. 4 marks Recall the Caucy-Riemann equations are: ди ди an d_ where f (z) -u(x, y) + iv(x, y). (b) Let x2 and y 1 such that z-2i is a solution to 2abi [3 marks] Determine a and b (c) Find all other solutions of 23-a + bi in polar form correct to 2 significant 3 marks] figures If you were not able to solve for a and b...
1.) Let f(x, y, z) = xy?z3 – sin(xy) +erz? – tan(y, 3. Determine the following. (a) e (b) (c) azonos
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...
3. Let F(x, y) = (-y, x) and let C be the semicircle with parametrization f(t) = (4 cos t, 4 sin t) for 0 <ts. Compute ScF.T ds.