The arc length function for a curve y = f(x), wheref is an increasing function, is s(x) = f V3t + 5 dt. (a) If f has y-intercept 2, find an equation for f. (b) What point on the graph of f is 3 units along the curve from the y-intercept? State your answer rounded to 3 decimal places. Answer a) f (x) = ?(3x + 4)3/2 + ? b) point (1.159, 4.765) is about 3 units from the y - intercept 9

Calculus: Early Transcendentals
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Author:James Stewart
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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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Problem 38 Hard Difficulty
The arc length function for a curve y = f(x), wheref is an
increasing function, is s(x) = V3t + 5 dt.
(a) If f has y-intercept 2, find an equation for f.
(b) What point on the graph of f is 3 units along the curve
from the y-intercept? State your answer rounded to 3
decimal places.
Answer
a) f (x) = ?(3x + 4)3/2 + 3
b) point (1.159, 4.765) is about 3 units from the y -
intercept
Topics
Applications of Integration
Calculus: Early Transcendentals
JAMES STEWART
<>
Transcribed Image Text:6:13 AA numerade.com -0:01 1x Clarissa N. Numerade Educator Like Report Problem 38 Hard Difficulty The arc length function for a curve y = f(x), wheref is an increasing function, is s(x) = V3t + 5 dt. (a) If f has y-intercept 2, find an equation for f. (b) What point on the graph of f is 3 units along the curve from the y-intercept? State your answer rounded to 3 decimal places. Answer a) f (x) = ?(3x + 4)3/2 + 3 b) point (1.159, 4.765) is about 3 units from the y - intercept Topics Applications of Integration Calculus: Early Transcendentals JAMES STEWART <>
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