3. [10 Marks] Find the work done by the force along the cardioid r # 3 + 3 sin ,0 E 10.2"]
3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m
3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m
can someone solve this plz
5. [10 Marks] Find the total work done by the force ine inteaal F( x, y) -(cos(x2018 + 23 3)- cosy + yi + (xsiny + sinsy)j (xsiny + sin5y Along the closed curve C traced by r)- < 3cost, 3sintfrom ttot 2 ele r:3 Geens tcoleme
Find the area of the right half of the cardioid: r = 4+3 sin 0. Find the area enclosed within one loop of the curve: r = 4 cos 30.
2. (a) Find the point on the cardioid r = 2(1+sin ) that is farthest on the right. (b) What is the area of the region that is inside of this cardioid and outside the circle r = 6 sin 0? 1515-10nts]
all questions clearly solved please
(2) If the point of application of a force F: R3 R moves along a curve C, then the work done by the force is W F.dr. (a) Find the total work done on an object that traverses the curve c(t) (cos(t), 2 sin(t), (b) Find the total work done on an object that traverses the straight line from (1,0,-2) (c) Explain why the answers in the previous two questions coincide and provide a way...
Find the work done by the force F = direction). -7yi + 10x j along one loop of the curve r = sin 30 (in the positive Enter your answer symbolically, as in these examples
The force acting at a point (x, y) in a coordinate plane is F(x, y)- r-xit yj. Calculate the work done by E along the upper half of the circle x2 ya from (a, 0) to (-a, 0). where Irl
The force acting at a point (x, y) in a coordinate plane is F(x, y)- r-xit yj. Calculate the work done by E along the upper half of the circle x2 ya from (a, 0) to (-a, 0). where Irl
Find the area of the region that is bounded by r = sin 0 + cos 0, with 0 <OST. Find the area of the right half of the cardioid: r = 1 + 3 sin .
Please help solve the following question with steps. Thank
you!
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
1. 5 marks] Find the work done by the force F(x, y) =-ri+yj applied to an object that moves along the quarter circle from (2, 0) to (0, 2) 2. [6 marks Find the volume of the region beneath z (0,0), (1,0), and (1,2) y and the triangle with vertices