Use Green's Theorem to evalute this integral where C is a triangle with point coordinates (0,0), (2,2) and (2,4) P xy²dx+2x?ydy 4. (2, 4) y= 2x D (2, 2) y = x

Q: Find an equation of the line tangent to the intersection of the cylinders x² +2²= 4, y²2 +2²=4 and…

A:

Q: Use cylindrical coordinates to show that 3 /9-x2 9-x²-y² IIT -3 0 x² dzdy dx = 2437 4

A:

Q: Find y in terms of x. dy = x 2 + 5, curve passes through (0, 14) dx x3 A) y = + 5x 3 B y = x3 + 5x +…

A:

Q: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

A:

Q: Find the equation of the tangent plane to x2 the surface z = 4 + y? at the point (2, –2, 5)

A:

Q: ntegrate ze²² dz where C from 1 along the axes to i C

A: (.)   Given integral is,    where  along to the axes to .(.) If a function is analytic then integral…

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) 21

A:

Q: (b). Use Green's Theorem to evaluate SF. dr. F(x, y) = (e³x², 2xy), where C is the triangle from…

A:

Q: Evaluate the value of I = f(e6 − 3x)dx + (6xeº + y)dy, r where I is the straight line from (0, 0) to…

A: On the curve Gamma , which is straight line from (0, 0) to (3,0) we have, y=0 and x  ranges from 0…

Q: Find the tangent plane to the equation z = z = 16x + 15y + 19 X - 2x² + 3y² - 3y at the point…

A:

Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7,-5)

A: The given integral is ∫C2x-y dx+x+5y dy where C is the line from 0,0 to  0,-5 and  0,-5 to 7,-5. To…

Q: tangent plane

A:

Q: (z -1) (z+2z -3) Q1/ Find the value of the integral dz, where y is the triangle with Vertices at the…

A:

Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1. Blank 1 Add your…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Consider f (x, y) 3x² + xy + 3y². Use calculus to find the extreme values of fon the circle x² + y²…

A:

Q: Two points in rectangular coordinates are given by P₁ (0,0,2) and P₂ (0,1, √3). Obtain the line…

A: We are given points in rectangular coordinates are given by P1(0, 0, 2) and P20, 1, 3. Here, we need…

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

A: