Consider a 20-foot chain that weighs 3 pounds per foot hanging from a winch 20 feet above ground level. Find the work done by the winch in winding up the specified amount of chain. Wind up the entire chain.

It took 1800 J of work to stretch a spring from its natural length of 2 m to a length of 5 m. Find the spring’s force constant.

If you are solving the linear system given using the substitution method, which equation would you solve for which variable? Explain. Equation 1: 2x - 3y = 24 Equation 2: 2x + y = 8

Use a calculator to evaluate the expressions.Does your calculator give the correct answers? Many calculators miss all four. Give a brief explanation of what probably goes wrong.

A chain 10 feet long weighs 4 pounds per foot and is hung from a platform 20 feet above the ground. How much work is required to raise the entire chain to the 20-foot level?

A hemispherical tank of radius 6 feet is positioned so that its base is circular. How much work is required to fill the tank with water through a hole in the base when the water source is at the base?

Factor the polynomial.

$$s ^ { 2 } + 11 s + 30$$

Write a balanced chemical equation for the reaction that occurs when barium carbonate decomposes into barium oxide and carbon dioxide gas when heated.

A hemispherical tank of radius 6 feet is positioned so that its base is circular. How much work is required to fill the tank with water through a hole in the base if the water source is at the base?

Express the number in scientific notation. 0.56

An open tank has the shape of a right circular cone. The tank is 8 feet across the top and 6 feet high. How much work is done in emptying the tank by pumping the water over the top edge?

An open tank has the shape of a right circular cone. The tank is 8 feet across the top and 6 feet high. How much work is done in emptying the tank by pumping the water over the top edge?

A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the tank is 1 meter below ground level. How much work is done in pumping a full tank of water up to ground level? (The water weighs 9800 newtons per cubic meter.)

Find the center of mass of the point masses lying on the x-axis.
$m_1=6, m_2=3, m_3=5$ $x_1=-5, x_2=1, x_3=3$