please show all work with steps Integrate f(u,v) =v- Vu over the triangular region cut from...
Integrate f(x,y)=x2 + y over the triangular region with vertices (0,0), (1,0), and (0,1). The value is (Type a simplified fraction.)
Please show and explain your steps and please show the graph the before and after the transformation like in the picture, thank you. 12. Use the transformation T: u = -x and v=ķy to evaluate the integral ſf xdA where R is the region R bounded on the xy-plane by the ellipse 9x² + 4y2 = 36. . Let S be the image of R under T on the uv-plane. Sketch regions R and S. Set up the integral 7as...
please show all work and steps thank you :) Evaluate the integral. 1 $5x(x2 - 1) '?dx 0 1 5x(x2 - 1)?dx = (Type an integer or a simplified fraction.) 0
can younplease answer all of these i need it for a review please u-x+y, V--2x+y S S 5ydx dy R where is the parallelogram bounded by the lines y=-x+1, y=-x +4, y = 2x + 2, y = 2x + 5 o Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral. The coordinate axes and the line § 35 dy dx x/3 5(1 - x/3) dy dx °? I ddy of...
a. Find the Jacobian of the transformation x = u, y = 4uv and sketch the region G: 1 s u s 2.4 s4uvs 8, in the uv-plane. b. Then usef(x.y) dx dy-f(g(u.v),h(u.v)|J(u,v)l du dv to transform the integral dy dx into an integral over G, and evaluate both integrals a. Find the Jacobian of the transformation x = u, y = 4uv and sketch the region G: 1 s u s 2.4 s4uvs 8, in the uv-plane. b. Then...
Please show all work Using calculus find the area of the triangular type region bounded on the left by y= Væ on the right by y = 6 – x and below by y=1.
Please show all steps and give explanations 4. a. Solve the system и %3D 2х — Зу, v = -x + y for x and y in terms of u and v. Then find the value of the Jacobian d(x, y)/ә(и, v). 2х — Зу, v = -x + y of the parallelogram R in the xy-plane with -3, x 0, y x, and y x + 1. Sketch b. Find the image under the transformation boundaries x = the...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. Sketch the following region R. Then express Sfer f(r,0)dA as an iterated integral over R. R The region inside the lobe of the lemniscate ? = 6 sin 20 in the first quadrant. Sketch the region R. Choose the correct graph below. OA. OB. OC. OD AY 47 AY 47 4 4- 2 2- X X 0 Sketch the region and use integration to find its area. The region...
please show ALL work with steps legibly. will rate! thanks 2. Find a f a. - if f(u, v) = cos(uva). Ouv b. xyz if g(x, y, z)= xe.”
Please show all work and steps I will provide like for answer 1. For u = (3,-2,-2) and v = (1, 2, 1), find a unit vector parallel to 3u +2v.