Work in joules

A trough is 2 meters long, 2 meters wide, and 2 meters deep. The vertical cross-section of the trough... (See attached)

Test the series for convergence or divergence

See attachment

Tunnel Problem

In the summer of 1999, construction will begin on a 3000 ft. tunnel that will pass under the Mississippi River, connecting the cities of East St. Louis, Illinois and St. Louis, Missouri. A Missouri-based company has been contracted to begin excavating the tunnel from the Missouri side, while an Illinois-based company will begin ...continues

Tunnel word problem

Before starting, the answer to the 2nd problem is NOT y=3.9x+20 or y=4.1x-300. Those are the solutions to the first part of the question. The second part is asking for the TOTAL cost when you have "x" amount of feet, not just the cost of digging ONE foot. I posted earlier and received the above answers. The question I would like ...continues

Tunnel ONLY NEED QUESTION 2

Before starting, the answer to the 2nd problem is NOT y=3.9x+20 or y=4.1x-300. Those are the solutions to the first part of the question. The second part is asking for the TOTAL cost when you have "x" amount of feet, not just the cost of digging ONE foot. I posted earlier and received the above answers. The question I would like ...continues

Minimizing Cost

There are two companies, the IL Company and the MO Company. They are trying to build a 3000 ft. tunnel connecting St. Louis, IL and St. Louis, MO. Each company will begin digging on their own side and eventually meet up with the other. The cost of digging x feet of tunnel for the IL Company is 1.95x^(2)+20x and it is 2.05x^(2)-3 ...continues

Improper Integrals surface area problem..

Use l'hopital's rule if needed. Show all work step by step. Use proper notation please. Surface Area: The region bounded by [(x-2)^2]+y^2=1 is revolved about the y-axis to form a torus find the surface area of the torus. PLEASE show or explain step by step process.

L'Hopital's rule and improper integrals

Please show or explain step by step process. Please use proper notation. Volume: Find the volume of the solid generated by revolving the region bounded by the graph y=xe^(-x), y=0 and x=0 about the x-axis.

Calculus/For Anyone

Various Calculus Problems Attached.

Calculus

Please double check your answers for these problems so that I understand how to do all the problems correctly when I take my test.