=f* √7t + 10 dt. The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = (a) Iff has y-intercept 7, find an equation for f. (b) What point on the graph of f is 2 units along the curve from the y-intercept? State your answer rounded to 3 decimal places.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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The arc length function for a curve 
y = f(x),
 where f is an increasing function, is 
s(x) = 
x
  7t + 10
 dt
 
0
.

(a)

If f has y-intercept 7, find an equation for f.
f(x) =

(b)

What point on the graph of f is 2 units along the curve from the y-intercept? State your answer rounded to 3 decimal places.
(x, y) =(        ,      )
 
The arc length function for a curve y = f(x), where f is an increasing function, is s(x) =
= √²
√7t+10 dt.
(a) If f has y-intercept 7, find an equation for f.
(b) What point on the graph of f is 2 units along the curve from the y-intercept? State your answer rounded to 3 decimal places.
Transcribed Image Text:The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = = √² √7t+10 dt. (a) If f has y-intercept 7, find an equation for f. (b) What point on the graph of f is 2 units along the curve from the y-intercept? State your answer rounded to 3 decimal places.
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