Consider the scalar (potential) function $(x,y,z)=axy" +z Calculate the magnitude of the conservative force associated to p at point P(a,2,b). Take a = 18 and b = -2
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- how do you find the work done by the given forceF(x, y) in moving a particle along the given curve C in the xy-plane using the specified method. (a) method: green's theorem Force: F( x,y) = Y3i - x3j C : Circle of radius 2 centered at (0,0) oriented in the counterclockwise direction (b) method: use either direct computation or Green's Theorem Force: F( x,y) = x3i + y3j C : Circle of radius 2 centered at (0,0) oriented in the counterclockwise direction (c) method: use either direct computation or Green's Theorem Force: F( x,y) = x3i + y3j C: Along the curve y = 2x3- x from (0,0) to (1,1)A block of mass M contains the total mass mb of rice (assuming the rice does not rubbing against each other so that no energy is lost from the system) was on a horizontal slippery floor. It is known that when t = 0, the system (block and rice) is still at rest at x = 0, when t> 0, the system starts to push with a force F (t) = F0 eβt (F0 and β are constant) along the x-axis. It is also known that the block has a hole which makes rice exit with discharge Q. Write the system speed function v (t) as a function of time!A particle is under the influence of the force F= (-cosh (4x4) + xy)i + (e-y + x)j. The corner points move once in the counterclockwise direction on the rectangular curve in (1.1), (1.7), (3.1) and (3.7). Find the work done.