Find the arc length of the curve on the given interval. Parametric Equations x= 7t + 5, y = 7 - 8t Interval -1sts 3 Step 1 Arc length is given by - L* √(x) Step 2 One of the given equations is x = 7t + 5, so dx= dt The other equation is y = 7 - 8t, so dy = dt Submit Skip (you cannot come back) ✔ dt.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Find the arc length of the curve on the given interval.
Parametric Equations
x = 7t + 5,
y = 7 - 8t
Step 1
Arc length is given by
dx 2
2 dy 2
S =
-√²)²¹² 2².
= Lºv
dt.
=
The other equation is y = 7 8t, so
dy
dt
Interval
-1 ≤t≤ 3
Step 2
One of the given equations is x = 7t + 5, so
dx
dt
=
Submit Skip (you cannot come back)
+
978
Transcribed Image Text:Find the arc length of the curve on the given interval. Parametric Equations x = 7t + 5, y = 7 - 8t Step 1 Arc length is given by dx 2 2 dy 2 S = -√²)²¹² 2². = Lºv dt. = The other equation is y = 7 8t, so dy dt Interval -1 ≤t≤ 3 Step 2 One of the given equations is x = 7t + 5, so dx dt = Submit Skip (you cannot come back) + 978
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