A force of 250 newtons stretches a spring 30 centimeters. How much work is required in stretching the spring from 20 centimeters to 50 centimeters.

Find the volume of the solid generated by revolving the region bounded by the graphs of  and  about the

Find the surface area of revolution genereated by revolving the curve

Which of the following correctly compares the bond lengths?

Mole equivalencies 1 mole = 6.022 x 1023 atoms, molecules, particles Heat equivalencies Cwater = 4.18 J/g°C 1 calorie (cal) = 4.184 joules (J) q = m x C x ΔT                                                   q = m x ΔHfusion                                                                                   ΔHfusion = heat of fusion constant = 334 J/g q = m x ΔHvaporization                                                                     ΔHvaporization = heat of vaporization constant = 2,230 J/g

Solve the following IVP using the Laplace Transform: Note: You do not need to type anything in here, please include your answer with your uploaded scratch paper. 

a.  Give an example of a function whose domain is all real numbers. b.  Give an example of a function whose domain is all real numbers except 3 and -2. c.  Give an example of a function whose domain is all real numbers that are greater than, or equal to, 5.

Find 5 ordered pair solutions that could be used to plot points to create the graph of this function.  f(x)=2x-4{“version”:”1.1″,”math”:”f(x)=2x-4″} Show how you determined/calculated the ordered pair solutions.

Simplify completely: 210xy5+xy38-72{“version”:”1.1″,”math”:”210xy5+xy38-72″}

Given the function:  f(x)=3×2-7x+2{“version”:”1.1″,”math”:”f(x)=3×2-7x+2″} What are the coordinates of the vertex? Does the parabola open up or down?  Explain how you know. Find 4 other ordered pair solutions that could be used to plot points to create the graph of this function.  Show how you determined/calculated the ordered pair solutions.