The following problems consider the temperature and density of Eaith’s layers.
439. [T] The temperature of Earth’s layers is exhibited in the table below. Use your calculator to fit a polynomial of degree 3 to the temperature along the radius of the Earth.
Then find the average temperature of Earth. (Hint: begin at 0 in the inner core and increase outward toward the surface)
Layer | Depth from center (km) | Temperature °C |
Rocky Crust | 0 to 40 | 0 |
Upper Mantle | 40 to 150 | 870 |
Mantle | 400 to 650 | 870 |
Inner Mantel | 650 to 2700 | 870 |
Molten Outer Core | 2890 to 5150 | 4300 |
Inner Core | 5150 to 6378 | 200 |
Source: http://www.enchantedlearning.com/siibjects/ astronomy/planets/earth/I nside.shtml
Trending nowThis is a popular solution!
Chapter 5 Solutions
Calculus Volume 3
Additional Math Textbook Solutions
Calculus Volume 2
Finite Mathematics & Its Applications (12th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
Thinking Mathematically (6th Edition)
- Find the intensities of earthquakes whose magnitudes are aR=6.0andbR=7.9.arrow_forwardChange the function y=3(0.5)x to one having e as the base.arrow_forwardAssume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. What is that maximum height?arrow_forward
- Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.arrow_forwardUse your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.arrow_forwardNear the surface of the moon, the distance that an object falls is a function of time. It is given by d(t)=2.6667t2 , where t is in seconds and d(t) is in feet. If an object is dropped from a certain height, find the average velocity of die object from t=1tot=2 .arrow_forward
- a. Find the cubic function that is the best fit for the data in the table below. b. Find the quartic function that is the best fit for the data in the table. 1 2 4 6 7 y 2 28 56 164 1475 a. The cubic function is y = (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)arrow_forwardA water wheel has a broken bucket like in the diagram below.The height of the broken bucket, in meters, above the surface of the water, y, after x seconds can bemodeled by the function shown below. y = 3.2sin(0.42x - 2.1) +1.9 5. In each rotation, the length of time that the broken bucket is visible above the surface of the water can befound by analyzing theA. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the function 6. The diameter of the water wheel is the A. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the functionarrow_forwardA water wheel has a broken bucket like in the diagram below.The height of the broken bucket, in meters, above the surface of the water, y, after x seconds can bemodeled by the function shown below. y = 3.2sin(0.42x - 2.1) +1.9 5. In each rotation, the length of time that the broken bucket is visible above the surface of the water can befound by analyzing theA. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the functionarrow_forward
- A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t)=25t+2−−−−√, find the area of the ripple as a function of time. Find the area of the ripple at t=2. Enter the exact answer. For the number π, you can either type pi or you can click the button with π on it. Do not enter any commas in your answer. A= __________ in.2arrow_forwardEX1: Draw the fowling function y=3x-5 when I-1arrow_forwardme: 3. A pebble is embedded in the tread of a rotating bicycle wheel of diameter 60 cm. If the wheel rotates at 4 revolutions per second, determine a relationship between the height, h, of the pebble above the ground, in centimetres, as a function of time t, in seconds.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt