The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t + 10 dt. (a) If f has y-intercept 6, find an equation for f. (x) = 21 (7x+9) 3 ( /}) ( 24 + 7 (b) What point on the graph of f is 4 units along the curve from the y-intercept? State your answer rounded to 3 decimal places. (x, y) = (1.081, 9.851)

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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The arc length function for a curve y = f(x), where f is an increasing function, is s(x) =
(a) Iff has y-intercept 6, find an equation for f.
f(x) =
20 (7x+9)
(1) 24
+
7
-6°
7t+ 10 dt.
(b) What point on the graph of f is 4 units along the curve from the y-intercept? State your answer rounded to 3 decimal places.
(x, y) =
=((1.081, 9.851)
Transcribed Image Text:The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = (a) Iff has y-intercept 6, find an equation for f. f(x) = 20 (7x+9) (1) 24 + 7 -6° 7t+ 10 dt. (b) What point on the graph of f is 4 units along the curve from the y-intercept? State your answer rounded to 3 decimal places. (x, y) = =((1.081, 9.851)
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