(74% 4) Sun 8:43 PM Q. Chrome File Edit View History Bookmarks People Window Hel
ID: 2872649 • Letter: #
Question
(74% 4) Sun 8:43 PM Q. Chrome File Edit View History Bookmarks People Window Help You VA 2.9 Linear Approximations x Calculus question I Chegg G A ring of a planet has an X C www.webassign.net /web/Student/Assignment-Responses/submit?dep 12143221 A ring of a planet has an inner radius of approximately 50,800 km measured from the center of the planet) and a radial width of 16 km. Use differentials to estimate the area of the ring. (Round your answer to the nearest thousand km Need Help? Read it Chat About It 6. -1 points TanCalc1 2.9.030 My Notes Ask Your Teacher The period of a simple pendulum is given by where L is the length of the pendulum in feet, g is the constant of acceleration due to gravity, and Tis measured in seconds. Suppose that the length of a pendulum was measured with a maximum error of What will be the maximum percentage error in measuring its period? Need Help? Read it Watch It Chat About It 7. C+0 -1 points TanCalc1 2.9.032 My Notes Ask Your Teacher Animal physiologists use the formula 2/3 to calculate the surface area of an animal (in square meters) from its mass W (in kilograms), where k is a constant that depends on the animal under consideration. Suppose that a physiologist calculates the surface area of a horse (k 0.1). If the estimated mass of the horse is 270 kg with a maximum error in measurement of 0.7 kg, determine the maximum percentage error in the calculation of the horse's surface area. Round your answer to two decimal places Need Help? Read t Watch It Chat About ItExplanation / Answer
Solution (5):
We could restate the problem as: "A circles radius increases from a=50,800 km to a = 50,816 km , and now all we need to do is find the estimate increase in the area. The area is given by A=r2, therefore
dA=A(a)dr
=2a dr
=2(50,800)(16)
5104384.00 km.
5104000.00 km.
Note: At A TIME ONE QUESTION ALLOWED.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.