Concept explainers
Volume The axis of a storage tank in the form of a right circular cylinder is horizontal (see figure). The radius and the length of the tank are 1 meter and 3 meters respectively.
Determine the volume of fluid in the tank as a function of its depth d.
Use a graphing utility to graph the function in part (a).
Design a dip stick for the tank with markings of
Fluid is entering the tank at a rate of
Use a graphing utility to graph the function in part (d). When will the rate of change of the depth be minimum? Does this agree with your intuition? Explain.
Trending nowThis is a popular solution!
Chapter 8 Solutions
Calculus of a Single Variable
- Complete parts (a)-(c). 1 3. 4 9. y 2. +1 0. 14 a) Find a cubic function that models the data in the table. Report the model with three decimal places. y=D b) Find a linear function that models the data. Report the model with three decimal places, y=D c) Visually determine which model is the better fit for the data. Cubic Lineararrow_forwardEil2 Defermine volume generated aboud where x? =44 and y = | · X-axis using washerr methe d.arrow_forwardA trough has ends shaped like isosceles triangles, with width of w = 4 meters and height h = 6 meters, and the trough is L = 13 meters long. Water is being pumped into the trough at a rate of 7 cubic meters per minute. At what rate does the height of the water change when the water is 1 meters deep? W 1.615 m/min. help (numbers)arrow_forward
- Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 20 ft/min. The radius of the cone base is four times the height of the cone. Find the rate (in ft/min) at which the height of the gravel changes when the pile has a height of 5 ft. ft/min Additional Materials 1 eBookarrow_forwardA container can be modeled by revolving the graph of about the x-axis, where x and y are measured in centimeters. Use a graphing utility to graph the function. Find the volume of the container analytically.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage