(Related Rates)an intersection at a rate of 0.5 m/sec. At the same time, a car is driving away 9 meters fromthe intersection to the north at 8 m/sec. What is the rate of change of the distance betweenA person is walking away at a distance of 12 meters east ofthe person and the car?

Answered: (Related Rates) A person is walking…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A falcon stood on top of a tree whose height is (30 m). Notice on the ground a rabbit flew towards it at a speed (80 m / s). Find the rate of change of the rabbit’s position if its distance from the tree is (40 m) Please solve a question quickly
A rocket has taken off and is rising vertically according to the position equation, s = 50t^2 (use this to find the “given” rate of change). It is being tracked by a device located 2000 ft from the point of lift-off. The angle θ (in radians) is the angle between the tracking line and the ground. Find the rate of change in the angle θ , 10 seconds after lift-off.(a) GIVEN: Use the position function to find the given rate of change at t = 10 sec.(b) FIND: Write the derivative you want to find.(c) Write an equation relating the variable θ and two sides of the triangle. Then, differentiate with respect to time. (d) Solve for the unknown derivative in (b) after substituting in known values. Note: first you will need to solve for both s and the length of the hypotenuse at t = 10 sec.. Use a calculator for your final computations.
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(Related Rates) A person is walking away at a distance of 12 meters east of an intersection at a rate of 0.5 m/sec. At the same time, a car is driving away 9 meters from the intersection to the north at 8 m/sec. What is the rate of change of the distance between the person and the car?