An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 11 ft above the water and directly above the angler, and the fish is pulled horizontally directly toward the angler (see figure). Find the horizontal speed of the fish when it is 17 ft from the angler. Let x be the horizontal distance from the angler to the fish and z be the length of the fishing line, where both x and z are measured in inches. Write an equation relating x and z. Differentiate both sides of the equation with respect to t dz dt dx dt (...) When the fish is 17 ft from the angler, its horizontal speed is about (Round to two decimal places as needed.) 11 ft Decreasing at 3 in /s

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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An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 11 ft above the water and directly above the angler, and the fish is pulled
horizontally directly toward the angler (see figure). Find the horizontal speed of the fish when it is 17 ft from the angler.
Let x be the horizontal distance from the angler to the fish and z be the length of the fishing line, where both x and z are measured in inches. Write an equation relating x and z.
Differentiate both sides of the equation with respect to t
dz
dt
dx
dt
(...)
When the fish is 17 ft from the angler, its horizontal speed is about
(Round to two decimal places as needed.)
11 ft
Decreasing
at 3 in /s
Transcribed Image Text:An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 11 ft above the water and directly above the angler, and the fish is pulled horizontally directly toward the angler (see figure). Find the horizontal speed of the fish when it is 17 ft from the angler. Let x be the horizontal distance from the angler to the fish and z be the length of the fishing line, where both x and z are measured in inches. Write an equation relating x and z. Differentiate both sides of the equation with respect to t dz dt dx dt (...) When the fish is 17 ft from the angler, its horizontal speed is about (Round to two decimal places as needed.) 11 ft Decreasing at 3 in /s
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