1. Oregon Department of Fish and Wildlife asks you to estimate the surface area and volume...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Oregon Department of Fish and Wildlife asks you to estimate the surface area and volume of Paulina Lake. They give you a map of Paulina Lake with length and width dimensions as well as various depth soundings across the lake (in purple). (a) Estimate the area of the surface of the lake. (Note this is a real problem, so there are multiple approaches. Clearly indicate any assumptions you make in your approach.) (b) Estimate the volume of the lake using trapezoid shaped cross-sections where you assume the bottom of the trapezoid is half the length of the top. (c) What other shape of cross-sections might you use to estimate the volume of the lake? How would that change your calculation? (120 H) ft 9000 5000 ft (240 ft) Good fr (ઞs ++) 91004+ (vs+) 9400 ft 8200 ft (210 ft) 1800 ft (100) (depths) 2. Consider the region between y = ln x, y = 0 and x = 2 and the solid found by rotating this region around the line x = 3. (a) Set up an integral to calculate the volume of this solid using washers. (Which way do you slice the region? Draw a picture and explicitly indicate on the graph the important radii.) (b) Set up an integral to calculate the volume of this solid using shells. (Which way do you slice the region? Draw a picture and explicitly indicate on the graph the important radius and height.) (c) Determine which of the above two integrals you can evaluate by hand and evaluate that integral by hand to determine the volume.¹ 1. Oregon Department of Fish and Wildlife asks you to estimate the surface area and volume of Paulina Lake. They give you a map of Paulina Lake with length and width dimensions as well as various depth soundings across the lake (in purple). (a) Estimate the area of the surface of the lake. (Note this is a real problem, so there are multiple approaches. Clearly indicate any assumptions you make in your approach.) (b) Estimate the volume of the lake using trapezoid shaped cross-sections where you assume the bottom of the trapezoid is half the length of the top. (c) What other shape of cross-sections might you use to estimate the volume of the lake? How would that change your calculation? (120 H) ft 9000 5000 ft (240 ft) Good fr (ઞs ++) 91004+ (vs+) 9400 ft 8200 ft (210 ft) 1800 ft (100) (depths) 2. Consider the region between y = ln x, y = 0 and x = 2 and the solid found by rotating this region around the line x = 3. (a) Set up an integral to calculate the volume of this solid using washers. (Which way do you slice the region? Draw a picture and explicitly indicate on the graph the important radii.) (b) Set up an integral to calculate the volume of this solid using shells. (Which way do you slice the region? Draw a picture and explicitly indicate on the graph the important radius and height.) (c) Determine which of the above two integrals you can evaluate by hand and evaluate that integral by hand to determine the volume.¹
Expert Answer:
Related Book For
The Legal Environment of Business
ISBN: 978-0538473996
11th Edition
Authors: Roger E Meiners, Al H. Ringleb, Frances L. Edwards
Posted Date:
Students also viewed these mathematics questions
-
The Oregon Department of Fish and Wildlife (OFW) issued regulations that commercial crab catchers need permits from OFW, as it would limit when crabbing could occur and how many crabs could be...
-
Your boss has asked you to estimate the intrinsic value of the equity for Google, which does not currently pay any dividends. You are going to use an income approach and are trying to choose between...
-
The Department of Fish and Wildlife is under pressure to use poisons to kill coyotes. The department feels that poison will kill only those coyotes that would be killed by predators and harsh weather...
-
Data for Video Phones, Inc., are provided in P114A. Required: Prepare the statement of cash flows for Video Phones, Inc., using the direct method. Disclose any noncash transactions in an accompanying...
-
With the grating used in Problem 58, two other lines in the first-order hydrogen spectrum are found at angles 1 = 9.72 10 2 rad and 2 = 1.32 10 1 rad. Find the wavelengths of these lines.
-
Question 1 Grey Ltd has provided the following figures for two investment projects, only one of which may be chosen. Initial outlay Project X Project Y 200,000 180,000 Profit for year 1 65,000 35,000...
-
Use the working papers from Work Together 18-2. A comparative balance sheet and forms for analyzing changes in long-term assets, long-term liabilities, and stockholders' equity are provided in the...
-
Refer to the list of income statement items in Problem 2-6. Assume that Shaw Corporation classifies all operating expenses into two categories: (1) Selling and (2) General and administrative....
-
If a firm pays a dividend to common stockholders, all else equal
-
To generate needed foreign exchange, the Cuban government entered into a joint venture with Domingo Cigars of Spain. The joint venture manufactures Domingo Cigars in Cuba using Cuban tobacco and...
-
What is relevant range and give two examples of costs that are variable costs and two examples of fixed costs.
-
Pascucci Engineering engaged in the following September transactions.
-
5. Although the ECG does not directly measure mechanical events, scientists and clinicians make assumptions about the heart's mechanical activity based on the ECG. Answer the following questions...
-
A 5.3 g coin sliding to the right at 23.0 cm/s makes an elastic head-on collision with a 15.9 g coin that is initially at rest. After the collision, the 5.3 g coin moves to the left at 11.5 cm/s. (a)...
-
Washington Brewery has two independent investment opportunities to purchase brewing equipment so the company can meet growing customer demand. The first option (equipment A) requires an initial...
-
(a) If A+B+C 180 prove that Sin(B+C-A)+Sin(C+A-B)+Sin(A+B-C)-Sin2A+Sin2B+Sin2C (b) Prove that Cos(x+y)Cos(x-y)-Cos'x-Sin'y-Cos'y-Sin'x
-
a). Consider an array of integers consisting of the number: 12 8 32 19 92 89 90 45 67 55 72. Suppose the pivot is the last element in the list i.e. integer 72. Apply just the partition algorithm of...
-
A police officer pulls you over and asks to search your vehicle because he suspects you have illegal drugs inside your car. Since he doesn't have reasonable suspicion to search your car, legally he...
-
Massachusetts imposed a tax on all milk sold in the state. The tax proceeds, collected by the state, were distributed to dairy farmers in Massachusetts. Milk buyers who bought milk from out-of-state...
-
The buyers of residential property mistakenly believed that the 3.5 acres of land included the well attached to the house, which they later found out was not on the property. The previous owner and...
-
A builder constructed a house according to plans provided by the owner. The contract specified that only Reading brand pipe was to be used in the plumbing. After the house was completed, the owner...
-
If suppliers are unaware of or not responsible for the external costs created by their production, the result is a(n) _________ of scarce resources to the production of the good.
-
Pollution reduction, like other forms of production, is subject to _________ returns.
-
The marginal cost of pollution abatement _________ with increasing levels of abatement.
Study smarter with the SolutionInn App