Consider the solid formed by rotating the region R about the line x = 5. Using your sketch from (a) illustrate an appropriate cross-sectional cut using a rectangle as seen in class. d. Set up (but do not evaluate) an integral to represent the volume of the solid obtained by rotating the region R about the line x = 5.

Jonas had 40 more pencils than Lisa. After Lisa gave away 20 pencils, Jonas had four times as many pencils as Lisa. How many pencils did Jonas have at first?

Craig owns a ready mis concrete company. Craig receives an order for 1.5 cubic yards of concrete. This mixture of concrete contains sand, cement, gravel, and water; for each pound of water, there are 5lb of sand, 2lb of cement, and 7lb of gravel. Find the total weight of the order (in pounds), assuming a cubic yeard of concrete weighs 4000 lb, and how many pounds of each ingredient must be used. answer in the back of the book is:  water: 400lb sand: 2000lb cement: 800lb gravel: 2800lb please help me set up the equations needed to solve the problem and get the answers given.

Tyrell wants to buy bagels ans cream cheese for his 16 coworkers. He expects that each worker will eat 1 1/2 bagels and 2 servings of cream cheese. The cream cheese comes in 4 serving containers. How many bagels and containers of cream cheese will he need?