Chapter 3.4, Problem 43E

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

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A pipe is leaking at the rate of 24 fluid ounces per minute use dimensional analysis to find out how many gallons the pipe is leaking per hour

A A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2 feet, as shown above. Water begins flowing into the empty trough at the rate of 2 cubic feet per minute. At what rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow? S B Decreasing at foot per minute Increasing at foot per minute Decreasing at foot per minute 9 ft Increasing at foot per minute -2 ft-

The density of the plate shown in the image is p(x)= 1 + x g/cm2. Find the total mass of the plate.

Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v (x) is the velocity of the fluid (in cm/sec) and X represents the distance (in cm) from the center of the pipe toward the edge. 1 5 8 9 2 3 4 6 7 v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6 182.3 178.6 174.5 Part: 0/ 4 Part 1 of 4 (a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center of the pipe. Round to 1 decimal place. It will take fluid approximately 5.104 sec to run the length of the pipe through the center of the pipe. Part: 1/4 Part 2 of 4 (b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1 decimal place. It will take fluid approximately sec to run the length of the pipe at a point 9…

An employee at Shoes R Us gets a discount of 18% on all regular priced shoes. What is the proportional constant that can be used to calculate the the sale price (y) of any regular priced pair of shoes (x) that the employee purchases?

Use the model given to answer the question about the object or process being modeled.

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