dA, where R is the trapezoidal region cos yt x with vertices (1,0), (2, 0), (0,2), and (0, 1) dA, where R is the t...
Evaluate the integral by making an appropriate change of variables. Slo 3 cos (5(X+3) dA where R is the trapezoidal region with vertices (8,0), (9, 0), (0, 9), and (0,8) 17 sin(5) 2 x
#6 Letter C, can you please explain how you got the answer. and to check the answer key says its 1/144 Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
(15 pts) Find (2x - y) dA, where R is the triangular region with vertices (0,0), (1, 1), and (2, -1). Use the change of variables u = x - y and v = x + 2y.
4. Evaluate (2 + y)dA, where D is the triangle with vertices (0,0), (0,1),(1,0).
1/3 x + y 7. Consider dA where R is the region bounded by the triangle with vertices (0,0), (2,0), V= x+y X-y and (0,-2). The change of variables u=- defines a transformation T(x,y)=(u,v) from the xy-plane 2 to the uv-plane. (a) (10 pts) Write S (in terms of u and v) using set- builder notation, where T:R→S. Use T to help you sketch S in the uv-plane by evaluating T at the vertices. - 1 a(u,v) (b) (4 pts)...
Consider the following set of points (1,0), (2, 2), (0,2), (0,0) and let 1 2 0 0 1 R= 0 2 2 0 0 1 1 1 1 where the column vectors of R represent the homogeneous coordinates of 4 points in the plane. (a) Draw the figure whose vertices correspond to the column vectors of R. (b) For each of the following matrices, describe its geometrical effect. For example: con- traction by a factor of 3, reflection over the...
5x cos(y3)dA Where D is the region bounded by y = 2, y = -x and the y axis.
Let the region R be the triangle with vertices (1, 1), (1,3), (2, 2). Write the iterated integrals for SSR f(x, y)dA 1. in the “dydx” order of integration 2. in the “dxdy” order of integration
10. Consider the triangular region R with vertices (0.0) (a) (4 points) Sketch the triangular region R. Vertices (0.0), (0,2), and (4,0) 3/ lebel up, but do not evaluate, an integral for the volume of the solid obtained by rotating the triangular region R abo al (c) (4 points) Set up, but do not evaluate, an integral for the volume of the described solid. The base is the triangular region R. The cross-sections perpendicular to the r-axis are semi-circles with...
Evaluate the double integral I = Slo xy dA where D is the triangular region with vertices (0,0), (1,0), (0,6).