Curvilinear integral of the function f (x, y) = x2 + y2 on a (3,0) centered...

Curvilinear integral of the function f (x, y) = x² + y² on a (3,0) centered and 3 radius circle.
a)Calculate the curvilinear integral by expressing the curve in parametrically.
b)Calculate the curvilinear integral by expressing the curve in polar coordinates.
c)Calculate the curvilinear integral by expressing the curve in cartesian coordinates.

Solutions

Expert Solution

please comments if you have any problem

milcah answered 1 year ago

Next > < Previous

Related Solutions

Find and classify all the extrema of the function f(x; y) = Exp(-x2 -y2 )*(x2 +...

Find and classify all the extrema of the function f(x; y) = Exp(-x2 -y2 )*(x2 + 2y2).

The value of f depends on two independent variables x and y as defined below: f(x,y)=x2+y2−x+3cos(x)sin(y)...

The value of f depends on two independent variables x and y as defined below: f(x,y)=x2+y2−x+3cos(x)sin(y) Function f has a minimum in the neighborhood of the origin (i.e. [0 0]). Find x and y which minimize f. Note: You are not allowed to use MATLAB built-in functions for optimization. Follow the logic of the derivative test: The minimum of f occurs where: ∂f∂x=0∂f∂y=0

1. The function f(x, y) = ln(x3 + 2) / (y2 + 3) (this function is...

1. The function f(x, y) = ln(x3 + 2) / (y2 + 3) (this function is of a fraction format) : a. has a stationary point at (1, 0) b. has a stationary point at (0, 0) c. has a stationary point at (0, 1) d. has no stationary points 2. Which of the following functions don’t have unit elasticity at P = 6? a. Demand: Qd = 24 - 2 P b. Demand: Qd = 10/P c. Demand: log...

Use Lagrange multipliers to find the absolute extrema of f(x,y) = x2 + y2 - 2x...

Use Lagrange multipliers to find the absolute extrema of f(x,y) = x2 + y2 - 2x - 4y + 5 on the region x2 + y2 <= 9.

Let F= (x2 + y + 2 + z2) i + (exp( x2 ) + y2) j...

Let F= (x2 + y + 2 + z2) i + (exp( x2 ) + y2) j + (3 + x) k . Let a > 0 and let S be part of the spherical surface x2 + y2 + z2 = 2az + 15a2 that is above the x-y plane and the disk formed in the x-y plane by the circular intersection between the sphere and the plane. Find the flux of F outward across S.

Calculate the integral of the function f (x, y, z) = xyz on the region bounded...

Calculate the integral of the function f (x, y, z) = xyz on the region bounded by the z = 3 plane from the bottom, z = x ^ 2 + y ^ 2 + 4 paraboloid from the side, x ^ 2 + y ^ 2 = 1 from the top.

The optimal solution to the following problem is: Max X+Y2 S.T. X2+Y2 <= 200 X-Y <=...

The optimal solution to the following problem is: Max X+Y2 S.T. X2+Y2 <= 200 X-Y <= 20 3Y2-X <= 50 X = 5.34, Y=4.29 X = 13.37, Y=4.59 X = 11.31, Y=3.14 X = 13.31, Y=3.14

find fx, fy and fz for the following function: f(x,y,z) = (xz/1-x2-y2)-3/4 if you can show...

find fx, fy and fz for the following function: f(x,y,z) = (xz/1-x2-y2)-3/4 if you can show working for the partial derivatives would be great thanks, Ben.

Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>=...

Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>= x1y1+2x2y2+3x3y3 is an inner product

Let f(x, y) = − cos(x + y2 ) and let a be the point a...

Let f(x, y) = − cos(x + y2 ) and let a be the point a = ( π/2, 0). (a) Find the direction in which f increases most quickly at the point a. (b) Find the directional derivative Duf(a) of f at a in the direction u = (−5/13 , 12/13) . (c) Use Taylor’s formula to calculate a quadratic approximation to f at a.

Subjects