30 kN 20 kN 15 kN 15 kN 10 kN 5 kN 5 kN K H G 3@1m=3m B E D 6@3 m = 18 m- Calculate the forces of this structure using the method of nodes.

Integrate Im z", C counterclockwise around the triangle with vertices 0, 2, 2i. Use the first method, if it applies, or use the second method. NOTE: Enter the exact answer. Im z? dz =

A swimming pool has the shape of a right circular cylinder with radius 18 feet and height 10 feet. Suppose that the pool is full of water weighing 62.5 pounds per cubic foot.The work W required to pump all the water to the top of the pool is given byW =   foot-pounds.The work W required to pump all the water to a platform 2 feet above the top of the pool is given byW =   foot-pounds.

Find the intersection of the sphere x2 + y2 + z2 = 9 and a cylinder x2+y2=4. Please solve without calculus and only vectors, please. Also, please show full working and explanation for each step.

Integrate Im z², C counterclockwise around the triangle with vertices 0, 5, 5i. Use the first method, if it applies, or use the second method. NOTE: Enter the exact answer. Im z? dz =

A plant has a cylindrical tank for storing solvent The capacity of the tank is 10,000 gallons. A new tank with a capacity of 20 000 gallons, is under construction. The new tank is the same helent as the existino one How will the time and expense of painting the vertical surface of the new tank compare with the time and expense of painting the vertical surface of the old one?