Evaluate xy dx + (x + y)dy along the curve y = 3x? from (-2,12) to (1,3). с xy dx + (x + y)dy = 0 xy dx + с (Type an integer or a simplified fraction.)
X 16.2.23 Evaluate si xy dx + (x + y)dy along the curve y= 2x² from (-3,18) to (2,8). C { xy dx xy dx + (x + y)dy = С (Type an integer or a simplified fraction.) ts
Evaluate xy dx + (x+y)dy along the curve y=2x? from ( - 3,18) to (-2,8). с | xy dx +(x+y)dy = [ С (Type an integer or a simplified fraction.)
. 0 -15.55 points ZiICAnalysis3 5.1.011 Evaluate the line integrals G(x, y) dx, G(x, y) dy, and G(x, y) ds on the indicated curve C. G(x, y)-2xy; x-3 cos(t), y-3 sin(t), o s t s G(x, y) dx G(x, y) dy G(x, y) ds Practice Another Version We were unable to transcribe this image
Consider the line integral Sc xy dx + (x - y) dy where is the line segment from (4, 3) to (3,0). Find an appropriate parameterization for the curve and use it to write the integral in terms of your parameter. Do not evaluate the integral.
3) (xy + y) dx + (x + x²y + x²g?)dy=0 differential equations
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
10 Given the double integral 4(x+ y)e dy dx, where R is the triangle in the xy-plane with vertices at (-1, 1), (1, 1) and (O,0). Transform this integral into J g(u.)dv du by the transformations given by 스叱制一想ル r}(u+v), y (u + v), y =-(u-v). Then, Evaluate the integral." (u-v). Then, Evaluate the integral. r 10 Given the double integral 4(x+ y)e dy dx, where R is the triangle in the xy-plane with vertices at (-1, 1), (1, 1)...
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di