Concept explainers
Cooling. The temperature in a whirlpool bath is 102°, and the room temperature is 75°. The water cools to 90° in 10 min.
a. Find the value of the constant a in Newton’s Law of Cooling.
b. Find the value of the constant k. Round to five decimal places.
c. What is the water temperature after 20 min?
d. How long does it take the water to cool to 80°?
e. Find the rate of change of the water temperature, and interpret its meaning.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Calculus and Its Applications (11th Edition)
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus & Its Applications (14th Edition)
- The carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?arrow_forwardFind the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.arrow_forwardThe resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?arrow_forward
- Use a calculator to help solve each problem. Oceanography At one location in the Atlantic Ocean, I0=14 lumens and k=0.7. Find the intensity of light at a depth of 12 meters. See Exercise 11.arrow_forwardCast iron 10 cm in diameter is turned in a lathe at 350 rpm. Each length of cut is 65 cm and eight cuts are required.A carbide tool is fed into the work at 0.0425 cm = 0.425 mm per revolution. Use the formula TLFN to find thetotal cutting time. Round the answerto 1 decimal place.arrow_forwardEstimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.arrow_forward
- Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A length of brass pipe is shown. a. Find the number of cubic inches of brass contained in the pipe. Round the answer to the nearest cubic inch. b. Brass weighs 526 pounds per cubic foot. What is the weight of the pipe? Round the answer to the nearest pound.arrow_forwardDetermine dimension x for each of these figures. a. All dimensions are in inches. b. All dimensions are in millimeters. c. Round the answer to 3 decimal places. All dimensions are in inches. d. Round the answer to 3 decimal places. All dimensions are in inchesarrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning